What is the standard deviation of the population for the data set 125, 234, 152, 340, 204?

The standard deviation is a measure of how spread out the numbers in a data set are relative to the mean of that data set. To calculate the population standard deviation, the following steps are followed:

1. First, find the mean (average) of the data set. To do this, sum all the numbers and divide by the total count of the numbers:

• (125 + 234 + 152 + 340 + 204) / 5 = 205.

2. Next, determine the squared differences from the mean for each data point:

• (125 - 205)² = 6400

• (234 - 205)² = 841

• (152 - 205)² = 2809

• (340 - 205)² = 18225

• (204 - 205)² = 1

3. Sum these squared differences:

• 6400 + 841 + 2809 + 18225 + 1 = 27976.

4. Divide this total by the number of data points (since we are calculating population standard deviation):

• 27976 / 5 = 5595.2.

5. Finally,