Suppose you have values on variable  equal to , and wish to compute a measure of variation from the mean. Without knowing what the exact values of the variable are, which of the following measures will necessarily generate a positive number (which is of course different from zero) regardless of the values for ?   a) the sum of absolute deviations from the mean b) the sum of deviations from the mean c) the sum of squared deviations from the mean d) the standard deviation e) a and c f) 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 13PPS
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Suppose you have values on variable  equal to , and wish to compute a measure of variation from the mean. Without knowing what the exact values of the variable are, which of the following measures will necessarily generate a positive number (which is of course different from zero) regardless of the values for ?

 

  1. a) the sum of absolute deviations from the mean
  2. b) the sum of deviations from the mean
  3. c) the sum of squared deviations from the mean
  4. d) the standard deviation
  5. e) a and c
  6. f) none of the above
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