If you compute the arithmetic mean, the sum of deviations of scores from that mean are always equal to:   a) 1 b) 0 c) 0 or a positive number d) a squared number e) none of the above

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 1GP
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. If you compute the arithmetic mean, the sum of deviations of scores from that mean are always equal to:

 

  1. a) 1
  2. b) 0
  3. c) 0 or a positive number
  4. d) a squared number
  5. e) none of the above
Expert Solution
Step 1

Introduction:

Consider a data set that consists of n observations, x1x2, ..., xn.

The arithmetic mean of these observations is given by the formula:

= (Σ xi) / n, where the sum is taken over all i = 1, 2, ..., n.

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