If the arithmetic mean of 7, 5, 13, x and 9 is 10, then the value of x is :

A. 10

B. 12

C. 14

D. 16

Answer: Option D

Solution(By Examveda Team)

Arithmetic mean
$$\frac{{{\text{Total sum}}}}{{{\text{Total number}}}}$$
According to the question,
⇒ 10 = $$\frac{7 + 5 + 13 + x + 9}{5}$$
⇒ 50 = x + 34
⇒ x = 50 - 34
⇒ x = 16