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Jeremiah has the following data: $\newline$ $4, 8, c, 1, 3$ $\newline$ If the median is $4$ , which number could $c$ be? $\newline$ Choices: $\newline$ $(A)$ $1$ $\newline$ $(B)$ $8$

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

Full solution

Q. Jeremiah has the following data:

\newline

4, 8, c, 1, 3

\newline

If the median is

4

, which number could

c

be?

\newline

Choices:

\newline

(A)

1

\newline

(B)

8

Arrange Data Set: Arrange the data set in ascending order including $c$ . Since the median is $4$ , $c$ must be placed in such a way that $4$ is the middle number in the ordered set.
Identify Possible Orders: Possible orders could be $1, 3, 4, c, 8$ or $1, 3, 4, 8, c$ . To keep $4$ as the median, $c$ must be either $8$ or a number greater than $4$ .
Check Given Choices: Check the choices given: (A) $1$ (B) $8$ . Since $1$ would disrupt the order needed to keep $4$ as the median (it would need to be placed before $4$ , not after), it cannot be the correct choice.
Determine Correct Value: Therefore, $c$ must be $8$ to maintain the order where $4$ is the median.

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