A slightly skewed set has mean 20 and mode 14. Using median = (2 x mean + mode) / 3, the median is about
A16
B17
C18
D19
Answer & Solution
Correct answer: C. 18
1. Put the numbers in the rule: (2 x 20 + 14) / 3.
2. That is (40 + 14) / 3 = 54 / 3.
3. So the median is about 18, between the mode 14 and the mean 20.
16 and 17 come from weighting the mode too much, and 19 from weighting the mean too much.
_Source: Wikipedia, Mode (statistics), Properties_
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