If the arithmetic mean of 16, 18, 15, 17, p and 14 is 17, then the value of p is:

Correct option is B

Given:

The arithmetic mean of 16, 18, 15, 17, p and 14 is 17

Formula used:

Mean = $$\frac{\text{sum of observations}}{\text{Number of observations}}$$​​

Solution:

According to the question:

The sum of mean = (16 + 18 + 15 + 17 + p + 14) = 80 + p

Now,

The correct mean = $$\frac{ (80 + p)}{6}$$​ = 17

=> 80 + p = 102

=> p = (102 – 80)

=> p = 22

∴ The value of p is 22.