Consider the following sample of numbers:
9, 18, 11, 14, 15, 17, 10, 69, 11, 13
The median of the sample is
Answer
(A)
Explanation
The median is the middle value once the data are sorted:
9, 10, 11, 11, 13, 14, 15, 17, 18, 69
There are ten values, an even count, so the median is the average of the 5th and 6th values: \(\frac{13 + 14}{2} = 13.5\).
The large value 69 drags the mean up to \(\frac{187}{10} = 18.7\) (option D), but the median depends only on the order of the values, so the outlier does not move it. Option C, 11, is the mode.
Answer: A