Answer
See below.
Work Step by Step
Not always, e.g. if the data set is $\{1,999,1000,1500\}$ then their mean is $875$, but only one of the elements is below the mean.
Applied Statistics and Probability for Engineers, 6th Edition
by Montgomery, Douglas C.; Runger, George C.
Published by
Wiley
ISBN 10:
1118539710
ISBN 13:
978-1-11853-971-2
Chapter 6 - Section 6-1 - Numerical Summaries of Data - Exercises - Page 205: 6-2
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