The average of 24 numbers is 43. If we subtract a number 'M' from each number, then the average becomes 38. What was the value of M?
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2 i.e. 5.
Average = Sum of all observations/Number of all observations
Sum of 24 numbers = 24 × 43 = 1032
When a number 'M' is subtracted from each number;
⇒ 1032 - 24M = 24 × 38
⇒ 1032 - 912 = 24M
⇒ 24M = 120
⇒ M = 5