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

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

• A. 5,619.20
• B. 74.96
• C. 28,096
• D. 129

Answer: (B)

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,

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,