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2 years ago

Which is the population standard deviation of the data set: 8, 9, 10, 11, 12?

Mathematics

1 answer:

guapka [62]2 years ago

5 0

The population standard deviation of the data set is 1.414.

<h3>What is standard deviation?</h3>

Standard deviation is used to determine how the values in a group differs from the mean of the values in the group. It is a measure of variation.

<h3>How is standard deviation calculated?</h3>

Determine the mean of the observation
Determine the difference between each value and the mean and then square the result
Determine the mean of the sum of the squared differences and then find the square root of the mean:

Mean = (8 + 9 + 10 + 11 + 12) / 5 = 10

Sum of squared differences: (8 - 10)² + (9 - 10)² + (10 - 10)² + (11 - 10)² + (12 - 10)² = 10

√10/5 = 1.414

To learn more about standard deviation, please check: brainly.com/question/26201837

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