Question

If the mean of 9, 8, 10, x, 14 is 11, find the value of x.

Answer 1

Given data is 9, 8, 10, x, 14.

Mean = 11

We know, Mean `(barX) = "Sum of observations"/"Total number of observations"`

⇒ 11 = `(9 + 8 + 10 + x + 14)/5` 

⇒ 11 = `(41 + x)/5`

⇒ 41 + x = 11 × 5

⇒ 41 + x = 55

⇒ x = 55 – 41

⇒ x = 14

As a result, the value of x is 14.