Discussion

What is the mean of the median, mode and range for the data given below ?

11, 25, 0, 8, 25, 30, 44, 50, 30, 18, 20, 17, 11, 9, 24, 25, 29

Answer: C

The mean is 33.

Arrange the 17 values in order:

0, 8, 9, 11, 11, 17, 18, 20, 24, 25, 25, 25, 29, 30, 30, 44, 50

The median is the 9th value, 24. The mode is 25 (it occurs three times). The range is 50 − 0 = 50.

\[ \text{mean} = \frac{24 + 25 + 50}{3} = \frac{99}{3} = 33 \]

Taking the median from the unsorted list (the 9th value there is 30) or the range as 50 − 8 = 42 leads to the other options.

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