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

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Multiple Choice

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

Explanation:
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.
  1. 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

  1. Sum these squared differences:
  • 6400 + 841 + 2809 + 18225 + 1 = 27976.
  1. Divide this total by the number of data points (since we are calculating population standard deviation):
  • 27976 / 5 = 5595.2.
  1. Finally,
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