Question

the mean of 5 number is 18 if one number is excluded the mean of remaining number becomes 16 find the excluded number

Answer 1

mean= sum of observations upon number of observations
so in first case
18= sum of 5 observations (X) upon 5
X= 90
in second case
16= sum of 4 observations (Y) upon 4
Y=64
x-y is the excluded number
90-64
=26
26 is the excluded number

Answer 2

Given:

→ The mean of 5 numbers is 18 if one number is excluded their men is 16.

Find:

→ Find the excluded number.

Calculations:

→ Mean of five numbers = 18.

→ 5 × 18

→ 90 -----(1)

We know, one number is excluded.

→ 4 × 16

→ 64 -----(2)

Subtracting equation (1) with equation (2), we get:

→ 90 - 64

→ 26

Therefore, 26 is the excluded number.