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Ellie has the following data: $\newline$ $w, 14, 14, 20$ $\newline$ If the mean is $17$ , which number could $w$ be? $\newline$ Choices: $\newline$ $\text{(A)}$ $8$ $\newline$ $\text{(B)}$ $20$

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

Full solution

Q. Ellie has the following data:

\newline

w, 14, 14, 20

\newline

If the mean is

17

, which number could

w

be?

\newline

Choices:

\newline

\text{(A)}

8

\newline

\text{(B)}

20

Calculate Mean Formula: Calculate the sum of the data set using the mean formula. $\newline$ Mean = $(\text{Sum of all numbers}) / (\text{Number of items})$ $\newline$ $17 = (w + 14 + 14 + 20) / 4$ $\newline$ Multiply both sides by $4$ to find the sum: $\newline$ $17 \times 4 = w + 14 + 14 + 20$ $\newline$ $68 = w + 48$
Find Sum: Solve for $w$ . $w = 68 - 48$ $w = 20$

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