Question

Coach Bradley is noting down the height of the football players in his team.
The height of 5 players is 72 inches, 77 inches, 73 inches, 69 inches, and 70 inches. If the mean height of 6 players is 71 inches, what is the height of the sixth player?

• A. 70 inches
• B. 73 inches
• C. 65 inches
• D. 67 inches

Answer 1

The correct option is C 65 inches

Let the height of the sixth player be x inches.

$\text{Mean}=\frac{\text{Sum of all data points}}{\text{Number of data points}}$

From the given statement, we know that the mean height of the six players is 71 inches.

Substituting the values, we get:
$\frac{72+77+73+69+70+x}{6}=71$

$\Rightarrow \frac{361+x}{6}=71$

$\Rightarrow 361+x=71\times 6$

$\Rightarrow x=426–361=65$

Thus, the height of the sixth player is 65 inches.