Question

The mean of five numbers is 28. If one of the numbers is excluded, the mean gets reduced by 2. Find the excluded number.

• A. 36
• B. 34
• C. 33
• D. 22

Answer 1

The correct option is A

36

Mean of 5 numbers = 28

Sum of these 5 numbers = (28 $\times$ 5) = 140

Mean of the remaining 4 numbers = (28 - 2) =26

Sum of these remaining 4 numbers = (26 $\times$ 4) = 104

Excluded number

= (sum of the given 5 numbers) - (sum of the remaining 4 numbers)

= (140 - 104)

= 36
Hence, the excluded number is 36