Question

Find the population standard deviation of the following data
84, 72, 89, 85, 99, 81.

Answer 1

To find the population standard deviation, calculate the mean, calculate the squared differences from the mean for each data point, sum up the squared differences, divide by the total number of data points, and take the square root of the result.

Step-by-step explanation:

To find the population standard deviation, follow these steps:

1. Calculate the mean of the data set
2. For each data point, calculate the difference between the data point and the mean, and square the result
3. Sum up all the squared differences
4. Divide the sum by the total number of data points
5. Take the square root of the result from step 4

Using the formula, the population standard deviation of the data set 84, 72, 89, 85, 99, 81 is approximately 8.1.