High School

For the following set of data, find the population standard deviation to the nearest thousandth:

103, 107, 124, 121, 123, 67, 77, 107, 124.

Answer :

Final answer:

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

Explanation:

To find the population standard deviation for a given set of data, you can follow these steps:

  1. Find the mean (average) of the data.
  2. Subtract the mean from each data point, square the result, and sum up all the squared differences.
  3. Divide the sum of squared differences by the total number of data points.
  4. Take the square root of the result to get the population standard deviation.

For the provided set of data (103, 107, 124, 121, 123, 67, 77, 107, 124), the mean is 107.89 and the population standard deviation is approximately 26.419.

Learn more about population standard deviation here:

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