Write the steps of calculating the population standard deviation.

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
1st Edition
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:HOUGHTON MIFFLIN HARCOURT
Chapter11: Data Analysis And Displays
Section: Chapter Questions
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Write the steps of calculating the population standard deviation.

Expert Solution
Step 1:

Standard deviation:

The standard deviation is based on how much each observation deviates from a central point represented by the mean. In general, the greater the distances between the individual observations and the mean, the greater the variability of the data set.

The standard deviation is the positive square root of the sum of squares of the mean deviations from the mean. That is,

Statistics homework question answer, step 1, image 1

Step 2:

Subtract the mean value from each of the observations and square all of them.

Step 3:

Statistics homework question answer, step 3, image 1

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