Question

the mean of 5 numbers is 18. if one number is excluded then their mean is 16. find the number​

Answer 1

The number that is excluded is 26.

• The mean of 5 numbers is 18.
• If one number is excluded then the mean obtained is 16.
• Let the number excluded be x.
• Now according to the given condition,

$\frac{Sum \ of \ 4 \ numbers + x}{5}$ = 18  (Mean of 5 numbers is 18)

• According to the second condition,

$\frac{Sum \ of \ 4 \ numbers}{4}$ = 16

Sum of 4 numbers  = 64.

• Now substituting the value of sum of 4 numbers in the above equation, we get

$\frac{64 + x}{5} = 18$

64 + x = 90

x = 26

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.