Sure, here are the steps to calculate the population standard deviation:

1. First, calculate the mean (average) of the data set. Add all the numbers together and then divide by the number of items in the set.

(10 + 21 + 22 + 35 + 37 + 13 + 16 + 18 + 24 + 34) / 10 = 23

2. Next, subtract the mean from each number in the data set and then square the result. This is called the "squared difference".

(10-23)^2 = 169
(21-23)^2 = 4
(22-23)^2 = 1
(35-23)^2 = 144
(37-23)^2 = 196
(13-23)^2 = 100
(16-23)^2 = 49
(18-23)^2 = 25
(24-23)^2 = 1
(34-23)^2 = 121

3. Now, find the average of these squared differences. This is called the "variance".

(169 + 4 + 1 + 144 + 196 + 100 + 49 + 25 + 1 + 121) / 10 = 81

4. Finally, take the square root of the variance to get the standard deviation.

√81 = 9

So, the population standard deviation of the data is 9.

Question

Sure, here are the steps to calculate the population standard deviation:

1. First, calculate the mean (average) of the data set. Add all the numbers together and then divide by the number of items in the set.

(10 + 21 + 22 + 35 + 37 + 13 + 16 + 18 + 24 + 34) / 10 = 23

2. Next, subtract the mean from each number in the data set and then square the result. This is called the "squared difference".

(10-23)^2 = 169
   (21-23)^2 = 4
   (22-23)^2 = 1
   (35-23)^2 = 144
   (37-23)^2 = 196
   (13-23)^2 = 100
   (16-23)^2 = 49
   (18-23)^2 = 25
   (24-23)^2 = 1
   (34-23)^2 = 121

3. Now, find the average of these squared differences. This is called the "variance".

(169 + 4 + 1 + 144 + 196 + 100 + 49 + 25 + 1 + 121) / 10 = 81

4. Finally, take the square root of the variance to get the standard deviation.

√81 = 9

So, the population standard deviation of the data is 9.

Knowee AI · Accepted Answer

Sure, here are the steps to calculate the population standard deviation:

1. First, calculate the mean (average) of the data set. Add all the numbers together and then divide by the number of items in the set.

(10 + 21 + 22 + 35 + 37 + 13 + 16 + 18 + 24 + 34) / 10 = 23

2. Next, subtract the mean from each number in the data set and then square the result. This is called the "squared difference".

(10-23)^2 = 169
   (21-23)^2 = 4
   (22-23)^2 = 1
   (35-23)^2 = 144
   (37-23)^2 = 196
   (13-23)^2 = 100
   (16-23)^2 = 49
   (18-23)^2 = 25
   (24-23)^2 = 1
   (34-23)^2 = 121

3. Now, find the average of these squared differences. This is called the "variance".

(169 + 4 + 1 + 144 + 196 + 100 + 49 + 25 + 1 + 121) / 10 = 81

4. Finally, take the square root of the variance to get the standard deviation.

√81 = 9

So, the population standard deviation of the data is 9.

The Marks of 10 students in an English test are given below: 10, 21, 22, 35, 37, 13, 16, 18, 24, 34 What is the population standard deviation of the data?

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