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Colin has the following data: $\newline$ $h, 7, 14, 3, 9$ $\newline$ If the median is $9$ , which number could $h$ be? $\newline$ Choices: $\newline$ $(A)$ $2$ $\newline$ $(B)$ $16$

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Mean, median, mode, and range: find the missing number

Full solution

Q. Colin has the following data:

\newline

h, 7, 14, 3, 9

\newline

If the median is

9

, which number could

h

be?

\newline

Choices:

\newline

(A)

2

\newline

(B)

16

Arrange Data Set: Arrange the data set including $h$ in ascending order to find the median. Since the median is given as $9$ , $h$ must be positioned in such a way that $9$ is the middle value in the ordered list.
Consider Choices for $h$ : Consider the choices for $h$ : (A) $2$ and (B) $16$ . If $h = 2$ , the ordered list would be $2, 3, 7, 9, 14$ . Here, $7$ would be the median, which is incorrect.
Evaluate Ordered List: Now, if $h = 16$ , the ordered list would be $3, 7, 9, 14, 16$ . In this case, $9$ is the median, which matches the given condition.

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