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Polly has the following data: $\newline$ $h, 5, 20, 11$ $\newline$ If the mean is $14$ , which number could $h$ be? $\newline$ Choices: $\newline$ (A) $16$ $\newline$ (B) $20$

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

Full solution

Q. Polly has the following data:

\newline

h, 5, 20, 11

\newline

If the mean is

14

, which number could

h

be?

\newline

Choices:

\newline

(A)

16

\newline

(B)

20

Calculate sum: Step $1$ : Calculate the sum of the numbers given the mean. $\newline$ Mean formula: Mean = $\frac{\text{sum of all numbers}}{\text{total number of numbers}}$ $\newline$ Given mean = $14$ , total numbers = $4$ (including $h$ ). $\newline$ $14 = \frac{h + 5 + 20 + 11}{4}$ $\newline$ $14 \times 4 = h + 5 + 20 + 11$ $\newline$ $56 = h + 36$
Solve for h: Step $2$ : Solve for h. $\newline$ $56 = h + 36$ $\newline$ $56 - 36 = h$ $\newline$ $h = 20$

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