Question

The cost of 5 toys are given. If the mean of the data set is 15, which number could "x" be?

• A. 15
• B. 21
• C. 17
• D. 23

Answer 1

The correct option is C 17

The given data set is

11, 14, 17, x, 16

The mean of the data set is the sum of the data divided by the number of data values

Mean = $\frac{\text{sum of all data}}{\text{Number of data values}}$

Number of data values = 5

Therefore,

15 = $\frac{11+14+17+x+16}{5}$

15 =$\frac{58+x}{5}$

$⟹$ 58 + x = 5 $\times$ 15

$⟹$ 58 + x = 75

$⟹$ x = 75 - 58

$⟹$ x = 17

Hence, the value of x = 80.