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Eduardo has the following data: $\newline$ $20, 20, 15, c$ $\newline$ If the mean is $18$ , which number could $c$ be? $\newline$ Choices: $\newline$ $(A)$ $17$ $\newline$ $(B)$ $21$

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

Full solution

Q. Eduardo has the following data:

\newline

20, 20, 15, c

\newline

If the mean is

18

, which number could

c

be?

\newline

Choices:

\newline

(A)

17

\newline

(B)

21

Calculate Mean: Calculate the sum of the numbers in the data set to find the mean. $\newline$ Sum = $20 + 20 + 15 + c$ $\newline$ Mean = $(\text{Sum}) / 4 = 18$ $\newline$ Sum = $18 \times 4 = 72$
Solve for c: Solve for c. $\newline$ $72 = 55 + c$ $\newline$ $c = 72 - 55 = 17$

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