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Pamela has the following data: $\newline$ $4, 6, 10, g, 17$ $\newline$ If the median is $10$ , which number could $g$ be? $\newline$ Choices: $\newline$ $(A)$ $17$ $\newline$ $(B)$ $7$

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

Full solution

Q. Pamela has the following data:

\newline

4, 6, 10, g, 17

\newline

If the median is

10

, which number could

g

be?

\newline

Choices:

\newline

(A)

17

\newline

(B)

7

Arrange Data Set: Arrange the data set in ascending order with $g$ in a position that makes $10$ the median. $\newline$ Data set in ascending order with $g$ as a possible value: $4$ , $6$ , $g$ , $10$ , $17$
Determine Possible Values: Determine the possible values for $g$ that keep $10$ as the median. $\newline$ Since $10$ must be the third number in the list for it to be the median, $g$ must be less than or equal to $10$ .
Compare with Choices: Compare the possible values of $g$ with the given choices. Choices are (A) $17$ and (B) $7$ . Since $g$ must be $\leq 10$ , $g$ cannot be $17$ ; it must be $7$ .

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