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

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 count of the numbers. For this data set, the mean is (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. This gives you the squared deviations. For this data set, the squared deviations are (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, and (24 - 24.333)^2 = 0.111.

3. Calculate the average of these squared deviations. This gives you the variance. For this data set, the variance is (128.111 + 0.111 + 18.778 + 136.444 + 21.778 + 0.111) / 6 = 50.889.

4. Take the square root of the variance to get the standard deviation. For this data set, the standard deviation is sqrt(50.889) = 7.134.

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