Find the population standard deviation of 51, 58, 59, 62, 63, 64, 64, 65, 65, 66, 67, 71, 74, 75, 75, 77, 78, 79, 82, 82, 83, 86, 89, 89, 89, 90, 93, 94, 95, 96, 101, 105, 116


The population standard deviation of the given data set is approximately \( 15.02 \).

Would you like further details on how this was calculated, or have any questions?

Here are 5 related questions for practice:
1. How is the sample standard deviation different from the population standard deviation?
2. What does the standard deviation tell you about the spread of the data?
3. How would the standard deviation change if the largest value increased significantly?
4. Can you find the mean of this data set?
5. How is variance related to standard deviation?

**Tip:** The population standard deviation divides by the total number of data points, while the sample standard deviation divides by the number of data points minus one.

Find the population standard deviation of 51, 58, 59, 62, 63, 64, 64, 65, 65, 66, 67, 71, 74, 75, 75, 77, 78, 79, 82, 82, 83, 86, 89, 89, 89, 90, 93, 94, 95, 96, 101, 105, 116

Learn how to calculate the population standard deviation for the data set: 51, 58, 59, 62, 63, 64, 64, 65, 65, 66, 67, 71, 74, 75, 75, 77, 78, 79, 82, 82, 83, 86, 89, 89, 89, 90, 93, 94, 95, 96, 101, 105, 116. This problem covers statistical concepts such as population standard deviation, variance, and data spread. Suitable for Grades 10-12.

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