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The numbers 6, 9, $x$ , 16 and 19 are in ascending order and their mean equals their median. Find $x$ .

Competition practiceStatistics

A13
B12.5
C12
D10

Step-by-Step Solution

Median

= x

(3rd of 5). Mean

= \frac{50 + x}{5}

. Setting them equal:

50 + x = 5 x \Rightarrow x = 12.5

, which indeed lies between 9 and 16.

Answer: B) 12.5

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