Question

Given that the mean of five numbers is 28. If one of them is excluded, the mean gets reduced by 5. Determine the excluded number.

• A. 46
• B. 47
• C. 45
• D. 48

Answer 1

Answer:

D. 48

Solution: Given: The mean of 5 numbers is 28 One number is excluded so mean decreased by 5 i.e. 23 Formula Used: Sum of numbers = Mean × No. of numbers Calculation: ⇒ Sum of the 5 numbers = 5 × 28 = 140 Mean of 4 numbers is 23 ⇒ Sum of the remaining four numbers = 4 × 23 = 92 ∴ Excluded number = 140 – 92 = 48