To calculate the population standard deviation, follow these steps:

1. Calculate the mean (average) of the data set. Add all the numbers together and divide by the number of values:

(13 + 24 + 20 + 36 + 29 + 24) / 6 = 24.333

2. Subtract the mean from each number in the data set and then square the result:

(13 - 24.333)^2 = 128.111
(24 - 24.333)^2 = 0.111
(20 - 24.333)^2 = 18.778
(36 - 24.333)^2 = 136.444
(29 - 24.333)^2 = 21.778
(24 - 24.333)^2 = 0.111

3. Calculate the mean of these squared differences:

(128.111 + 0.111 + 18.778 + 136.444 + 21.778 + 0.111) / 6 = 50.889

4. Take the square root of the result from step 3. This is the standard deviation:

√50.889 = 7.134

So, the population standard deviation is 7.134 (rounded to three decimal places).

Question

To calculate the population standard deviation, follow these steps:

1. Calculate the mean (average) of the data set. Add all the numbers together and divide by the number of values:

(13 + 24 + 20 + 36 + 29 + 24) / 6 = 24.333

2. Subtract the mean from each number in the data set and then square the result:

(13 - 24.333)^2 = 128.111
   (24 - 24.333)^2 = 0.111
   (20 - 24.333)^2 = 18.778
   (36 - 24.333)^2 = 136.444
   (29 - 24.333)^2 = 21.778
   (24 - 24.333)^2 = 0.111

3. Calculate the mean of these squared differences:

(128.111 + 0.111 + 18.778 + 136.444 + 21.778 + 0.111) / 6 = 50.889

4. Take the square root of the result from step 3. This is the standard deviation:

√50.889 = 7.134

So, the population standard deviation is 7.134 (rounded to three decimal places).

Knowee AI · Accepted Answer

To calculate the population standard deviation, follow these steps:

1. Calculate the mean (average) of the data set. Add all the numbers together and divide by the number of values:

(13 + 24 + 20 + 36 + 29 + 24) / 6 = 24.333

2. Subtract the mean from each number in the data set and then square the result:

(13 - 24.333)^2 = 128.111
   (24 - 24.333)^2 = 0.111
   (20 - 24.333)^2 = 18.778
   (36 - 24.333)^2 = 136.444
   (29 - 24.333)^2 = 21.778
   (24 - 24.333)^2 = 0.111

3. Calculate the mean of these squared differences:

(128.111 + 0.111 + 18.778 + 136.444 + 21.778 + 0.111) / 6 = 50.889

4. Take the square root of the result from step 3. This is the standard deviation:

√50.889 = 7.134

So, the population standard deviation is 7.134 (rounded to three decimal places).

A data set contains the following six values. 13 24 20 36 29 24 Find the population standard deviation. (enter the population standard deviation rounded to 3 decimal places)

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