Oliver has the following data: m, 14, 17, 19, 15, 15 If the mean is 16, which number could m be? Choices: (A)16 (B)34

Calculate total number of terms: Calculate the total number of terms in the data set. Data set: m, 14, 17, 19, 15, 15 Number of terms: 6Set up mean equation: Set up the equation using the mean formula. Mean formula: Mean = (sum of all terms) / (number of terms) Given mean = 16 16 = (m + 14 + 17 + 19 + 15 + 15) / 6Simplify and solve for m: Simplify and solve for m. 16 = (m + 80) / 6 16 * 6 = m + 80 96 = m + 80 m = 96 - 80 m = 16

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Oliver has the following data: $\newline$ $m, 14, 17, 19, 15, 15$ $\newline$ If the mean is $16$ , which number could $m$ be? $\newline$ Choices: $\newline$ (A) $16$ $\newline$ (B) $34$

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Math Problems

Grade 8

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

Full solution

Q. Oliver has the following data:

\newline

m, 14, 17, 19, 15, 15

\newline

If the mean is

16

, which number could

m

be?

\newline

Choices:

\newline

(A)

16

\newline

(B)

34

Calculate total number of terms: Calculate the total number of terms in the data set. $\newline$ Data set: $m$ , $14$ , $17$ , $19$ , $15$ , $15$ $\newline$ Number of terms: $6$
Set up mean equation: Set up the equation using the mean formula. $\newline$ Mean formula: Mean = $\frac{\text{sum of all terms}}{\text{number of terms}}$ $\newline$ Given mean = $16$ $\newline$ $16 = \frac{m + 14 + 17 + 19 + 15 + 15}{6}$
Simplify and solve for $m$ : Simplify and solve for $m$ . $16 = \frac{m + 80}{6}$ $16 \times 6 = m + 80$ $96 = m + 80$ $m = 96 - 80$ $m = 16$