Consider the following sample of numbers: 9, 18, 11, 14, 15, 17, 10, 69, 11, 13
The median of the sample is
Options:
(A) 13.5
(B) 14
(C) 11
(D) 18.7
Official Answer Key:
A
Step-by-Step Solution & Explanation
Step 1 — arrange in ascending order:
9, 10, 11, 11, 13, 14, 15, 17, 18, 69
Step 2 — count: n = 10 (even). The median is the average of the 5ᵗʰ and 6ᵗʰ values:
Median = (13 + 14)/2 = 13.5
Note: the mean is 18.7 — option (D) — deliberately placed as a distractor. The outlier 69 inflates the mean but leaves the median unaffected, which is precisely why the median is preferred for skewed data.
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