Why is squaring such an important step in calculating the standard deviation? That is, which of the following statements is true? If you don't square, deviation scores will never average to zero. Squaring ensures that data will be reliable. When you sqaure, this makes values bigger and it is important to have large values. If you don't square, deviation scores will always average to zero.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 22PFA
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Why is squaring such an important step in calculating the standard deviation? That is, which of the following statements is true?

If you don't square, deviation scores will never average to zero.
 
Squaring ensures that data will be reliable.
 
When you sqaure, this makes values bigger and it is important to have large values.
 
If you don't square, deviation scores will always average to zero.
 
 
 
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