Variables in Statistics Tutor

Introduction :

The variable which is available in the statistics it is called as statistical variable. It is a feature that may acquire choice in adding of one group of data to which a mathematical enumerates can be allocated. Some of the variables are altitude, period, quantity of profit, region or nation of birth, grades acquired at school and category of housing, etc,. Our statistics tutor defines the different types of statistics variables and the example of these types. Our tutor helps to you to know more information about the variables in statistics.

Variables in statistics tutor:

Let us, see the different types used in statistics and the uses of these types. There two kinds of used in statistics. They are,

Statistical 1: Qualitative

Statistical 1: Quantitative

These two kinds are used for various uses based on the statistics. Also, these types are divided into number of categories and which is used to various uses.

Explanation :

Qualitative :

The qualitative variant is the initial category of variable in statistics. Qualitative variables are cannot be measured which are called as attributes.

The qualitative variable is categories into two parts:

Qualitative type 1: Nominal

Qualitative type 2: Ordinal

1. Nominal variable:

Nominal values are the qualitative that does not hold any mathematical proposition like one's sacred quantity or city or surroundings. Using this nominal it does not do any addition, subtraction, even sorted.

2. Ordinal variables:

Ordinal variable is similar to the nominal variable but it uses some logical technique can arrange the variables. For instance in school ( junior and senior).

Quantitative variables:

The next category of statistical is a quantitative. The quantitative can be measured straightly.

The quantitative is categories into two parts:

Quantitative type 1: Continuous

Quantitative type 2: Discrete

1. Continuous :

The variable that can acquire all the values from the specified sequence then it is known as continuous. That is it can take an infinite value from the higher range to lower range of the given series.

Example:

Assume the person's age. Here, age is considered as a numerical value. If the age of the person is in among 36 and 56, the outcome can be any value among 36 and 56; therefore "Age of a person "is continuous variable.

2. Discrete :

The variable that can acquire only a specific value from the given range then it is said to be discrete variable. Hence, it can take the finite number of values only.

Example:

The number of child in the family is among 4 and 6, the outcome will be only 5. That is among 4 and 6, the can take only a specified value 5; therefore, "number of child in a family" is discrete variable.

Variables in Statistics Tutor

Introduction :

The variable which is available in the statistics it is called as statistical variable. It is a feature that may acquire choice in adding of one group of data to which a mathematical enumerates can be allocated. Some of the variables are altitude, period, quantity of profit, region or nation of birth, grades acquired at school and category of housing, etc,. Our statistics tutor defines the different types of statistics variables and the example of these types. Our tutor helps to you to know more information about the variables in statistics.

Variables in statistics tutor:

Let us, see the different types used in statistics and the uses of these types. There two kinds of used in statistics. They are,

Statistical 1: Qualitative

Statistical 1: Quantitative

These two kinds are used for various uses based on the statistics. Also, these types are divided into number of categories and which is used to various uses.

Explanation :

Qualitative :

The qualitative variant is the initial category of variable in statistics. Qualitative variables are cannot be measured which are called as attributes.

The qualitative variable is categories into two parts:

Qualitative type 1: Nominal

Qualitative type 2: Ordinal

1. Nominal variable:

Nominal values are the qualitative that does not hold any mathematical proposition like one's sacred quantity or city or surroundings. Using this nominal it does not do any addition, subtraction, even sorted.

2. Ordinal variables:

Ordinal variable is similar to the nominal variable but it uses some logical technique can arrange the variables. For instance in school ( junior and senior).

Quantitative variables:

The next category of statistical is a quantitative. The quantitative can be measured straightly.

The quantitative is categories into two parts:

Quantitative type 1: Continuous

Quantitative type 2: Discrete

1. Continuous :

The variable that can acquire all the values from the specified sequence then it is known as continuous. That is it can take an infinite value from the higher range to lower range of the given series.

Example:

Assume the person's age. Here, age is considered as a numerical value. If the age of the person is in among 36 and 56, the outcome can be any value among 36 and 56; therefore "Age of a person "is continuous variable.

2. Discrete :

The variable that can acquire only a specific value from the given range then it is said to be discrete variable. Hence, it can take the finite number of values only.

Example:

The number of child in the family is among 4 and 6, the outcome will be only 5. That is among 4 and 6, the can take only a specified value 5; therefore, "number of child in a family" is discrete variable.

Statistics Homework

Introduction to Statistics homework: Statistics is defined as a process of analysis and organize the data.

We learn about mean, median, mode in statistics. Mean is same as average in arithmetic. Median is the midvalue of the data. Mode is the value of the data that appears most number of times.

Statistics deals with mean, deviation, variance and standard deviation. The process of finding the mean deviation about median for a continuous frequency distribution is similar as we did for mean deviation about the mean. It is a technology to collect, manage and analyze data. In this article, Basic functions and homework problems on statistics are given.

Statistics Functions and Examples:

In statistics the mean which has the same as average in arithmetic. In statistics mean is a set of data which can be dividing the sum of all the observations by the total number of observations in the data.

Sum of observations

Mean = ------------------------------------

Number of observations

The statistic is called sample mean and used in simple random sampling.

The mean of deviation has discrete frequency distribution and Continuous frequency distribution.

The mean deviation and median for a continuous frequency distribution is similar as for mean deviation about the mean.

Median is found by arranging the data first and using the formula

If n is even,

Median = '1/2[ n/2 "th item value"+(n/2+1) "th item value"]'

If n is odd, Median = '1/2 (n+1)'th item value

Variance: In statistics the variance s2 of a random variable X and of its distribution are the theoretical counter parts of the variance s2 of a frequency distribution. In a given data set of the variance can be determined by the sum of square of each data. Here variance is represented by Var (X). The formula to solve the variance for continuous and discrete random variable distributions can be shown. In statistics variance is the term that explains how average values of the data set vary from the measured data.

s2 = ?(X - M) 2 / N

S2 = ?(X - M) 2 / N

Standard Deviation: It is an arithmetical figure of spread and variability

Ex 1 : Choose the correct for normal frequency distribution.

A. mean is same as the standard deviation

B. mean is same as the mode

C. mode is same as the median

D. mean is the same as the median

Ans: D

Ex 2 : Choose the correct variable for confounding.

A. exercise

B. mean

C. deviation

D. Occupation

Ans : A

Ex 3: The weights of 8 people in kilograms are 60, 58, 55, 72, 68, 32, 71, and 52.

Find the arithmetic mean of the weights.

Sol : sum of total number

Mean = ------------------------------

Total number

60 + 58 + 55 + 72 + 68 + 32 + 71 + 52

= -----------------------------------------------------------

8

468

= -------

8

= 58.5

Ex 4: Find the median of 29, 11, 30, 18, 24, and 14.

Sol : Arrange the data in ascending order as 11, 14, 18, 30, 24, and 29.

N = 6

Since n is even,

Median = '1/2[ n/2 "th item value"+(n/2+1) "th item value"]'

= '1/2' [6/2th item value + (6/2 + 1)th item value]

= '1/2' [3rd item value + 4th item value]

= '1/2' [18 + 30]

= '1/2' * 48

= 24

Ex 5: Find the mode of 30, 75, 80, 75, and 55.

Sol : 75 are repeated twice.

Mode = 75

Ex 6: Find the Variance of (2, 4, 3, 6, and 5).

Sol: First find the mean

Mean = '(2+3+4+6+5)/5 = 20/5=4'

(X-M) = (2-4)= -2, (3-4)= -1, (4-4)=0, (6-4) =2, (5-4) =1

Then we can find the squares of a numbers.

(X-M)2 = (-2)2 = 4, (-1) 2 = 1 , 02 = 0, 22 = 4 , 12 = 1

'sum(X-M)^2= 4+1+0+4+1=10'

Number of elements = 5 , so N= 5-1 = 4

'(sum(X-M)^2)/N = 10/4=2.5'

Here we can add the all numbers and divided by total count of numbers.

= (4 + 16 + 9 + 36 + 25) / 5

= 90 / 5

= 18

Ex 7: Find the Standard deviation of 7, 5, 10, 8, 3, and 9.

Sol:

Step 1:

Calculate the mean and deviation.

X = 7, 5, 10, 8, 3, and 9

M = (7 + 5 + 10 + 8 + 3 + 9) / 6

= 42 / 6

= 7

Step 2:

Find the sum of (X - M) 2

0 + 4 + 9 + 1 + 4 = 18

Step 3:

N = 6, the total number of values.

Find N - 1.

6 - 1 = 5

Step 4:

Locate Standard Deviation by the method.

v18 / v5 = 4.242 / 2.236

= 1.89

Homework practice problems:

1. Choose the correct for statistics is outliers.

A. mode

B. range

C. deviation

D. median

Ans : B

2. Find the arithmetic mean of the weights of 8 people in kilograms is 61, 60, 58, 71, 69, 38, 77, and 51.

Sol : 60.625

3. Find the median of 22, 15, 32, 19, 21, and 13.

Sol : 20

4. Find the mode of 30, 65, 52, 75, and 52.

Sol : 52

5. Find the Variance of (3, 6, 3, 7, and 9).

Sol: 36.8

6. Find the median of 9, 12, 26, 48, 20, and 41.

Sol: 23

Statistics Homework

Introduction to Statistics homework: Statistics is defined as a process of analysis and organize the data.

We learn about mean, median, mode in statistics. Mean is same as average in arithmetic. Median is the midvalue of the data. Mode is the value of the data that appears most number of times.

Statistics deals with mean, deviation, variance and standard deviation. The process of finding the mean deviation about median for a continuous frequency distribution is similar as we did for mean deviation about the mean. It is a technology to collect, manage and analyze data. In this article, Basic functions and homework problems on statistics are given.

Statistics Functions and Examples:

In statistics the mean which has the same as average in arithmetic. In statistics mean is a set of data which can be dividing the sum of all the observations by the total number of observations in the data.

Sum of observations

Mean = ------------------------------------

Number of observations

The statistic is called sample mean and used in simple random sampling.

The mean of deviation has discrete frequency distribution and Continuous frequency distribution.

The mean deviation and median for a continuous frequency distribution is similar as for mean deviation about the mean.

Median is found by arranging the data first and using the formula

If n is even,

Median = '1/2[ n/2 "th item value"+(n/2+1) "th item value"]'

If n is odd, Median = '1/2 (n+1)'th item value

Variance: In statistics the variance s2 of a random variable X and of its distribution are the theoretical counter parts of the variance s2 of a frequency distribution. In a given data set of the variance can be determined by the sum of square of each data. Here variance is represented by Var (X). The formula to solve the variance for continuous and discrete random variable distributions can be shown. In statistics variance is the term that explains how average values of the data set vary from the measured data.

s2 = ?(X - M) 2 / N

S2 = ?(X - M) 2 / N

Standard Deviation: It is an arithmetical figure of spread and variability

Ex 1 : Choose the correct for normal frequency distribution.

A. mean is same as the standard deviation

B. mean is same as the mode

C. mode is same as the median

D. mean is the same as the median

Ans: D

Ex 2 : Choose the correct variable for confounding.

A. exercise

B. mean

C. deviation

D. Occupation

Ans : A

Ex 3: The weights of 8 people in kilograms are 60, 58, 55, 72, 68, 32, 71, and 52.

Find the arithmetic mean of the weights.

Sol : sum of total number

Mean = ------------------------------

Total number

60 + 58 + 55 + 72 + 68 + 32 + 71 + 52

= -----------------------------------------------------------

8

468

= -------

8

= 58.5

Ex 4: Find the median of 29, 11, 30, 18, 24, and 14.

Sol : Arrange the data in ascending order as 11, 14, 18, 30, 24, and 29.

N = 6

Since n is even,

Median = '1/2[ n/2 "th item value"+(n/2+1) "th item value"]'

= '1/2' [6/2th item value + (6/2 + 1)th item value]

= '1/2' [3rd item value + 4th item value]

= '1/2' [18 + 30]

= '1/2' * 48

= 24

Ex 5: Find the mode of 30, 75, 80, 75, and 55.

Sol : 75 are repeated twice.

Mode = 75

Ex 6: Find the Variance of (2, 4, 3, 6, and 5).

Sol: First find the mean

Mean = '(2+3+4+6+5)/5 = 20/5=4'

(X-M) = (2-4)= -2, (3-4)= -1, (4-4)=0, (6-4) =2, (5-4) =1

Then we can find the squares of a numbers.

(X-M)2 = (-2)2 = 4, (-1) 2 = 1 , 02 = 0, 22 = 4 , 12 = 1

'sum(X-M)^2= 4+1+0+4+1=10'

Number of elements = 5 , so N= 5-1 = 4

'(sum(X-M)^2)/N = 10/4=2.5'

Here we can add the all numbers and divided by total count of numbers.

= (4 + 16 + 9 + 36 + 25) / 5

= 90 / 5

= 18

Ex 7: Find the Standard deviation of 7, 5, 10, 8, 3, and 9.

Sol:

Step 1:

Calculate the mean and deviation.

X = 7, 5, 10, 8, 3, and 9

M = (7 + 5 + 10 + 8 + 3 + 9) / 6

= 42 / 6

= 7

Step 2:

Find the sum of (X - M) 2

0 + 4 + 9 + 1 + 4 = 18

Step 3:

N = 6, the total number of values.

Find N - 1.

6 - 1 = 5

Step 4:

Locate Standard Deviation by the method.

v18 / v5 = 4.242 / 2.236

= 1.89

Homework practice problems:

1. Choose the correct for statistics is outliers.

A. mode

B. range

C. deviation

D. median

Ans : B

2. Find the arithmetic mean of the weights of 8 people in kilograms is 61, 60, 58, 71, 69, 38, 77, and 51.

Sol : 60.625

3. Find the median of 22, 15, 32, 19, 21, and 13.

Sol : 20

4. Find the mode of 30, 65, 52, 75, and 52.

Sol : 52

5. Find the Variance of (3, 6, 3, 7, and 9).

Sol: 36.8

6. Find the median of 9, 12, 26, 48, 20, and 41.

Sol: 23

Variables in Statistics Tutor

Introduction :

The variable which is available in the statistics it is called as statistical variable. It is a feature that may acquire choice in adding of one group of data to which a mathematical enumerates can be allocated. Some of the variables are altitude, period, quantity of profit, region or nation of birth, grades acquired at school and category of housing, etc,. Our statistics tutor defines the different types of statistics variables and the example of these types. Our tutor helps to you to know more information about the variables in statistics.

Variables in statistics tutor:

Let us, see the different types used in statistics and the uses of these types. There two kinds of used in statistics. They are,

Statistical 1: Qualitative

Statistical 1: Quantitative

These two kinds are used for various uses based on the statistics. Also, these types are divided into number of categories and which is used to various uses.

Explanation :

Qualitative :

The qualitative variant is the initial category of variable in statistics. Qualitative variables are cannot be measured which are called as attributes.

The qualitative variable is categories into two parts:

Qualitative type 1: Nominal

Qualitative type 2: Ordinal

1. Nominal variable:

Nominal values are the qualitative that does not hold any mathematical proposition like one's sacred quantity or city or surroundings. Using this nominal it does not do any addition, subtraction, even sorted.

2. Ordinal variables:

Ordinal variable is similar to the nominal variable but it uses some logical technique can arrange the variables. For instance in school ( junior and senior).

Quantitative variables:

The next category of statistical is a quantitative. The quantitative can be measured straightly.

The quantitative is categories into two parts:

Quantitative type 1: Continuous

Quantitative type 2: Discrete

1. Continuous :

The variable that can acquire all the values from the specified sequence then it is known as continuous. That is it can take an infinite value from the higher range to lower range of the given series.

Example:

Assume the person's age. Here, age is considered as a numerical value. If the age of the person is in among 36 and 56, the outcome can be any value among 36 and 56; therefore "Age of a person "is continuous variable.

2. Discrete :

The variable that can acquire only a specific value from the given range then it is said to be discrete variable. Hence, it can take the finite number of values only.

Example:

The number of child in the family is among 4 and 6, the outcome will be only 5. That is among 4 and 6, the can take only a specified value 5; therefore, "number of child in a family" is discrete variable.

Variables in Statistics Tutor

Introduction :

The variable which is available in the statistics it is called as statistical variable. It is a feature that may acquire choice in adding of one group of data to which a mathematical enumerates can be allocated. Some of the variables are altitude, period, quantity of profit, region or nation of birth, grades acquired at school and category of housing, etc,. Our statistics tutor defines the different types of statistics variables and the example of these types. Our tutor helps to you to know more information about the variables in statistics.

Variables in statistics tutor:

Let us, see the different types used in statistics and the uses of these types. There two kinds of used in statistics. They are,

Statistical 1: Qualitative

Statistical 1: Quantitative

These two kinds are used for various uses based on the statistics. Also, these types are divided into number of categories and which is used to various uses.

Explanation :

Qualitative :

The qualitative variant is the initial category of variable in statistics. Qualitative variables are cannot be measured which are called as attributes.

The qualitative variable is categories into two parts:

Qualitative type 1: Nominal

Qualitative type 2: Ordinal

1. Nominal variable:

Nominal values are the qualitative that does not hold any mathematical proposition like one's sacred quantity or city or surroundings. Using this nominal it does not do any addition, subtraction, even sorted.

2. Ordinal variables:

Ordinal variable is similar to the nominal variable but it uses some logical technique can arrange the variables. For instance in school ( junior and senior).

Quantitative variables:

The next category of statistical is a quantitative. The quantitative can be measured straightly.

The quantitative is categories into two parts:

Quantitative type 1: Continuous

Quantitative type 2: Discrete

1. Continuous :

The variable that can acquire all the values from the specified sequence then it is known as continuous. That is it can take an infinite value from the higher range to lower range of the given series.

Example:

Assume the person's age. Here, age is considered as a numerical value. If the age of the person is in among 36 and 56, the outcome can be any value among 36 and 56; therefore "Age of a person "is continuous variable.

2. Discrete :

The variable that can acquire only a specific value from the given range then it is said to be discrete variable. Hence, it can take the finite number of values only.

Example:

The number of child in the family is among 4 and 6, the outcome will be only 5. That is among 4 and 6, the can take only a specified value 5; therefore, "number of child in a family" is discrete variable.

Statistics Homework

Introduction to Statistics homework: Statistics is defined as a process of analysis and organize the data.

We learn about mean, median, mode in statistics. Mean is same as average in arithmetic. Median is the midvalue of the data. Mode is the value of the data that appears most number of times.

Statistics deals with mean, deviation, variance and standard deviation. The process of finding the mean deviation about median for a continuous frequency distribution is similar as we did for mean deviation about the mean. It is a technology to collect, manage and analyze data. In this article, Basic functions and homework problems on statistics are given.

Statistics Functions and Examples:

In statistics the mean which has the same as average in arithmetic. In statistics mean is a set of data which can be dividing the sum of all the observations by the total number of observations in the data.

Sum of observations

Mean = ------------------------------------

Number of observations

The statistic is called sample mean and used in simple random sampling.

The mean of deviation has discrete frequency distribution and Continuous frequency distribution.

The mean deviation and median for a continuous frequency distribution is similar as for mean deviation about the mean.

Median is found by arranging the data first and using the formula

If n is even,

Median = '1/2[ n/2 "th item value"+(n/2+1) "th item value"]'

If n is odd, Median = '1/2 (n+1)'th item value

Variance: In statistics the variance s2 of a random variable X and of its distribution are the theoretical counter parts of the variance s2 of a frequency distribution. In a given data set of the variance can be determined by the sum of square of each data. Here variance is represented by Var (X). The formula to solve the variance for continuous and discrete random variable distributions can be shown. In statistics variance is the term that explains how average values of the data set vary from the measured data.

s2 = ?(X - M) 2 / N

S2 = ?(X - M) 2 / N

Standard Deviation: It is an arithmetical figure of spread and variability

Ex 1 : Choose the correct for normal frequency distribution.

A. mean is same as the standard deviation

B. mean is same as the mode

C. mode is same as the median

D. mean is the same as the median

Ans: D

Ex 2 : Choose the correct variable for confounding.

A. exercise

B. mean

C. deviation

D. Occupation

Ans : A

Ex 3: The weights of 8 people in kilograms are 60, 58, 55, 72, 68, 32, 71, and 52.

Find the arithmetic mean of the weights.

Sol : sum of total number

Mean = ------------------------------

Total number

60 + 58 + 55 + 72 + 68 + 32 + 71 + 52

= -----------------------------------------------------------

8

468

= -------

8

= 58.5

Ex 4: Find the median of 29, 11, 30, 18, 24, and 14.

Sol : Arrange the data in ascending order as 11, 14, 18, 30, 24, and 29.

N = 6

Since n is even,

Median = '1/2[ n/2 "th item value"+(n/2+1) "th item value"]'

= '1/2' [6/2th item value + (6/2 + 1)th item value]

= '1/2' [3rd item value + 4th item value]

= '1/2' [18 + 30]

= '1/2' * 48

= 24

Ex 5: Find the mode of 30, 75, 80, 75, and 55.

Sol : 75 are repeated twice.

Mode = 75

Ex 6: Find the Variance of (2, 4, 3, 6, and 5).

Sol: First find the mean

Mean = '(2+3+4+6+5)/5 = 20/5=4'

(X-M) = (2-4)= -2, (3-4)= -1, (4-4)=0, (6-4) =2, (5-4) =1

Then we can find the squares of a numbers.

(X-M)2 = (-2)2 = 4, (-1) 2 = 1 , 02 = 0, 22 = 4 , 12 = 1

'sum(X-M)^2= 4+1+0+4+1=10'

Number of elements = 5 , so N= 5-1 = 4

'(sum(X-M)^2)/N = 10/4=2.5'

Here we can add the all numbers and divided by total count of numbers.

= (4 + 16 + 9 + 36 + 25) / 5

= 90 / 5

= 18

Ex 7: Find the Standard deviation of 7, 5, 10, 8, 3, and 9.

Sol:

Step 1:

Calculate the mean and deviation.

X = 7, 5, 10, 8, 3, and 9

M = (7 + 5 + 10 + 8 + 3 + 9) / 6

= 42 / 6

= 7

Step 2:

Find the sum of (X - M) 2

0 + 4 + 9 + 1 + 4 = 18

Step 3:

N = 6, the total number of values.

Find N - 1.

6 - 1 = 5

Step 4:

Locate Standard Deviation by the method.

v18 / v5 = 4.242 / 2.236

= 1.89

Homework practice problems:

1. Choose the correct for statistics is outliers.

A. mode

B. range

C. deviation

D. median

Ans : B

2. Find the arithmetic mean of the weights of 8 people in kilograms is 61, 60, 58, 71, 69, 38, 77, and 51.

Sol : 60.625

3. Find the median of 22, 15, 32, 19, 21, and 13.

Sol : 20

4. Find the mode of 30, 65, 52, 75, and 52.

Sol : 52

5. Find the Variance of (3, 6, 3, 7, and 9).

Sol: 36.8

6. Find the median of 9, 12, 26, 48, 20, and 41.

Sol: 23

Statistics Homework

Introduction to Statistics homework: Statistics is defined as a process of analysis and organize the data.

We learn about mean, median, mode in statistics. Mean is same as average in arithmetic. Median is the midvalue of the data. Mode is the value of the data that appears most number of times.

Statistics deals with mean, deviation, variance and standard deviation. The process of finding the mean deviation about median for a continuous frequency distribution is similar as we did for mean deviation about the mean. It is a technology to collect, manage and analyze data. In this article, Basic functions and homework problems on statistics are given.

Statistics Functions and Examples:

In statistics the mean which has the same as average in arithmetic. In statistics mean is a set of data which can be dividing the sum of all the observations by the total number of observations in the data.

Sum of observations

Mean = ------------------------------------

Number of observations

The statistic is called sample mean and used in simple random sampling.

The mean of deviation has discrete frequency distribution and Continuous frequency distribution.

The mean deviation and median for a continuous frequency distribution is similar as for mean deviation about the mean.

Median is found by arranging the data first and using the formula

If n is even,

Median = '1/2[ n/2 "th item value"+(n/2+1) "th item value"]'

If n is odd, Median = '1/2 (n+1)'th item value

Variance: In statistics the variance s2 of a random variable X and of its distribution are the theoretical counter parts of the variance s2 of a frequency distribution. In a given data set of the variance can be determined by the sum of square of each data. Here variance is represented by Var (X). The formula to solve the variance for continuous and discrete random variable distributions can be shown. In statistics variance is the term that explains how average values of the data set vary from the measured data.

s2 = ?(X - M) 2 / N

S2 = ?(X - M) 2 / N

Standard Deviation: It is an arithmetical figure of spread and variability

Ex 1 : Choose the correct for normal frequency distribution.

A. mean is same as the standard deviation

B. mean is same as the mode

C. mode is same as the median

D. mean is the same as the median

Ans: D

Ex 2 : Choose the correct variable for confounding.

A. exercise

B. mean

C. deviation

D. Occupation

Ans : A

Ex 3: The weights of 8 people in kilograms are 60, 58, 55, 72, 68, 32, 71, and 52.

Find the arithmetic mean of the weights.

Sol : sum of total number

Mean = ------------------------------

Total number

60 + 58 + 55 + 72 + 68 + 32 + 71 + 52

= -----------------------------------------------------------

8

468

= -------

8

= 58.5

Ex 4: Find the median of 29, 11, 30, 18, 24, and 14.

Sol : Arrange the data in ascending order as 11, 14, 18, 30, 24, and 29.

N = 6

Since n is even,

Median = '1/2[ n/2 "th item value"+(n/2+1) "th item value"]'

= '1/2' [6/2th item value + (6/2 + 1)th item value]

= '1/2' [3rd item value + 4th item value]

= '1/2' [18 + 30]

= '1/2' * 48

= 24

Ex 5: Find the mode of 30, 75, 80, 75, and 55.

Sol : 75 are repeated twice.

Mode = 75

Ex 6: Find the Variance of (2, 4, 3, 6, and 5).

Sol: First find the mean

Mean = '(2+3+4+6+5)/5 = 20/5=4'

(X-M) = (2-4)= -2, (3-4)= -1, (4-4)=0, (6-4) =2, (5-4) =1

Then we can find the squares of a numbers.

(X-M)2 = (-2)2 = 4, (-1) 2 = 1 , 02 = 0, 22 = 4 , 12 = 1

'sum(X-M)^2= 4+1+0+4+1=10'

Number of elements = 5 , so N= 5-1 = 4

'(sum(X-M)^2)/N = 10/4=2.5'

Here we can add the all numbers and divided by total count of numbers.

= (4 + 16 + 9 + 36 + 25) / 5

= 90 / 5

= 18

Ex 7: Find the Standard deviation of 7, 5, 10, 8, 3, and 9.

Sol:

Step 1:

Calculate the mean and deviation.

X = 7, 5, 10, 8, 3, and 9

M = (7 + 5 + 10 + 8 + 3 + 9) / 6

= 42 / 6

= 7

Step 2:

Find the sum of (X - M) 2

0 + 4 + 9 + 1 + 4 = 18

Step 3:

N = 6, the total number of values.

Find N - 1.

6 - 1 = 5

Step 4:

Locate Standard Deviation by the method.

v18 / v5 = 4.242 / 2.236

= 1.89

Homework practice problems:

1. Choose the correct for statistics is outliers.

A. mode

B. range

C. deviation

D. median

Ans : B

2. Find the arithmetic mean of the weights of 8 people in kilograms is 61, 60, 58, 71, 69, 38, 77, and 51.

Sol : 60.625

3. Find the median of 22, 15, 32, 19, 21, and 13.

Sol : 20

4. Find the mode of 30, 65, 52, 75, and 52.

Sol : 52

5. Find the Variance of (3, 6, 3, 7, and 9).

Sol: 36.8

6. Find the median of 9, 12, 26, 48, 20, and 41.

Sol: 23

Variables in Statistics Tutor

Introduction :

The variable which is available in the statistics it is called as statistical variable. It is a feature that may acquire choice in adding of one group of data to which a mathematical enumerates can be allocated. Some of the variables are altitude, period, quantity of profit, region or nation of birth, grades acquired at school and category of housing, etc,. Our statistics tutor defines the different types of statistics variables and the example of these types. Our tutor helps to you to know more information about the variables in statistics.

Variables in statistics tutor:

Let us, see the different types used in statistics and the uses of these types. There two kinds of used in statistics. They are,

Statistical 1: Qualitative

Statistical 1: Quantitative

These two kinds are used for various uses based on the statistics. Also, these types are divided into number of categories and which is used to various uses.

Explanation :

Qualitative :

The qualitative variant is the initial category of variable in statistics. Qualitative variables are cannot be measured which are called as attributes.

The qualitative variable is categories into two parts:

Qualitative type 1: Nominal

Qualitative type 2: Ordinal

1. Nominal variable:

Nominal values are the qualitative that does not hold any mathematical proposition like one's sacred quantity or city or surroundings. Using this nominal it does not do any addition, subtraction, even sorted.

2. Ordinal variables:

Ordinal variable is similar to the nominal variable but it uses some logical technique can arrange the variables. For instance in school ( junior and senior).

Quantitative variables:

The next category of statistical is a quantitative. The quantitative can be measured straightly.

The quantitative is categories into two parts:

Quantitative type 1: Continuous

Quantitative type 2: Discrete

1. Continuous :

The variable that can acquire all the values from the specified sequence then it is known as continuous. That is it can take an infinite value from the higher range to lower range of the given series.

Example:

Assume the person's age. Here, age is considered as a numerical value. If the age of the person is in among 36 and 56, the outcome can be any value among 36 and 56; therefore "Age of a person "is continuous variable.

2. Discrete :

The variable that can acquire only a specific value from the given range then it is said to be discrete variable. Hence, it can take the finite number of values only.

Example:

The number of child in the family is among 4 and 6, the outcome will be only 5. That is among 4 and 6, the can take only a specified value 5; therefore, "number of child in a family" is discrete variable.

Statistics Homework

Introduction to Statistics homework: Statistics is defined as a process of analysis and organize the data.

We learn about mean, median, mode in statistics. Mean is same as average in arithmetic. Median is the midvalue of the data. Mode is the value of the data that appears most number of times.

Statistics deals with mean, deviation, variance and standard deviation. The process of finding the mean deviation about median for a continuous frequency distribution is similar as we did for mean deviation about the mean. It is a technology to collect, manage and analyze data. In this article, Basic functions and homework problems on statistics are given.

Statistics Functions and Examples:

In statistics the mean which has the same as average in arithmetic. In statistics mean is a set of data which can be dividing the sum of all the observations by the total number of observations in the data.

Sum of observations

Mean = ------------------------------------

Number of observations

The statistic is called sample mean and used in simple random sampling.

The mean of deviation has discrete frequency distribution and Continuous frequency distribution.

The mean deviation and median for a continuous frequency distribution is similar as for mean deviation about the mean.

Median is found by arranging the data first and using the formula

If n is even,

Median = '1/2[ n/2 "th item value"+(n/2+1) "th item value"]'

If n is odd, Median = '1/2 (n+1)'th item value

Variance: In statistics the variance s2 of a random variable X and of its distribution are the theoretical counter parts of the variance s2 of a frequency distribution. In a given data set of the variance can be determined by the sum of square of each data. Here variance is represented by Var (X). The formula to solve the variance for continuous and discrete random variable distributions can be shown. In statistics variance is the term that explains how average values of the data set vary from the measured data.

s2 = ?(X - M) 2 / N

S2 = ?(X - M) 2 / N

Standard Deviation: It is an arithmetical figure of spread and variability

Ex 1 : Choose the correct for normal frequency distribution.

A. mean is same as the standard deviation

B. mean is same as the mode

C. mode is same as the median

D. mean is the same as the median

Ans: D

Ex 2 : Choose the correct variable for confounding.

A. exercise

B. mean

C. deviation

D. Occupation

Ans : A

Ex 3: The weights of 8 people in kilograms are 60, 58, 55, 72, 68, 32, 71, and 52.

Find the arithmetic mean of the weights.

Sol : sum of total number

Mean = ------------------------------

Total number

60 + 58 + 55 + 72 + 68 + 32 + 71 + 52

= -----------------------------------------------------------

8

468

= -------

8

= 58.5

Ex 4: Find the median of 29, 11, 30, 18, 24, and 14.

Sol : Arrange the data in ascending order as 11, 14, 18, 30, 24, and 29.

N = 6

Since n is even,

Median = '1/2[ n/2 "th item value"+(n/2+1) "th item value"]'

= '1/2' [6/2th item value + (6/2 + 1)th item value]

= '1/2' [3rd item value + 4th item value]

= '1/2' [18 + 30]

= '1/2' * 48

= 24

Ex 5: Find the mode of 30, 75, 80, 75, and 55.

Sol : 75 are repeated twice.

Mode = 75

Ex 6: Find the Variance of (2, 4, 3, 6, and 5).

Sol: First find the mean

Mean = '(2+3+4+6+5)/5 = 20/5=4'

(X-M) = (2-4)= -2, (3-4)= -1, (4-4)=0, (6-4) =2, (5-4) =1

Then we can find the squares of a numbers.

(X-M)2 = (-2)2 = 4, (-1) 2 = 1 , 02 = 0, 22 = 4 , 12 = 1

'sum(X-M)^2= 4+1+0+4+1=10'

Number of elements = 5 , so N= 5-1 = 4

'(sum(X-M)^2)/N = 10/4=2.5'

Here we can add the all numbers and divided by total count of numbers.

= (4 + 16 + 9 + 36 + 25) / 5

= 90 / 5

= 18

Ex 7: Find the Standard deviation of 7, 5, 10, 8, 3, and 9.

Sol:

Step 1:

Calculate the mean and deviation.

X = 7, 5, 10, 8, 3, and 9

M = (7 + 5 + 10 + 8 + 3 + 9) / 6

= 42 / 6

= 7

Step 2:

Find the sum of (X - M) 2

0 + 4 + 9 + 1 + 4 = 18

Step 3:

N = 6, the total number of values.

Find N - 1.

6 - 1 = 5

Step 4:

Locate Standard Deviation by the method.

v18 / v5 = 4.242 / 2.236

= 1.89

Homework practice problems:

1. Choose the correct for statistics is outliers.

A. mode

B. range

C. deviation

D. median

Ans : B

2. Find the arithmetic mean of the weights of 8 people in kilograms is 61, 60, 58, 71, 69, 38, 77, and 51.

Sol : 60.625

3. Find the median of 22, 15, 32, 19, 21, and 13.

Sol : 20

4. Find the mode of 30, 65, 52, 75, and 52.

Sol : 52

5. Find the Variance of (3, 6, 3, 7, and 9).

Sol: 36.8

6. Find the median of 9, 12, 26, 48, 20, and 41.

Sol: 23

Variables in Statistics Tutor

Introduction :

The variable which is available in the statistics it is called as statistical variable. It is a feature that may acquire choice in adding of one group of data to which a mathematical enumerates can be allocated. Some of the variables are altitude, period, quantity of profit, region or nation of birth, grades acquired at school and category of housing, etc,. Our statistics tutor defines the different types of statistics variables and the example of these types. Our tutor helps to you to know more information about the variables in statistics.

Variables in statistics tutor:

Let us, see the different types used in statistics and the uses of these types. There two kinds of used in statistics. They are,

Statistical 1: Qualitative

Statistical 1: Quantitative

These two kinds are used for various uses based on the statistics. Also, these types are divided into number of categories and which is used to various uses.

Explanation :

Qualitative :

The qualitative variant is the initial category of variable in statistics. Qualitative variables are cannot be measured which are called as attributes.

The qualitative variable is categories into two parts:

Qualitative type 1: Nominal

Qualitative type 2: Ordinal

1. Nominal variable:

Nominal values are the qualitative that does not hold any mathematical proposition like one's sacred quantity or city or surroundings. Using this nominal it does not do any addition, subtraction, even sorted.

2. Ordinal variables:

Ordinal variable is similar to the nominal variable but it uses some logical technique can arrange the variables. For instance in school ( junior and senior).

Quantitative variables:

The next category of statistical is a quantitative. The quantitative can be measured straightly.

The quantitative is categories into two parts:

Quantitative type 1: Continuous

Quantitative type 2: Discrete

1. Continuous :

The variable that can acquire all the values from the specified sequence then it is known as continuous. That is it can take an infinite value from the higher range to lower range of the given series.

Example:

Assume the person's age. Here, age is considered as a numerical value. If the age of the person is in among 36 and 56, the outcome can be any value among 36 and 56; therefore "Age of a person "is continuous variable.

2. Discrete :

The variable that can acquire only a specific value from the given range then it is said to be discrete variable. Hence, it can take the finite number of values only.

Example:

The number of child in the family is among 4 and 6, the outcome will be only 5. That is among 4 and 6, the can take only a specified value 5; therefore, "number of child in a family" is discrete variable.