The average of 48 numbers is 48. It was found later that observation 48 was wrongly taken as 84 at two places. What is the correct average?
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2 i.e. 46.5
Given:
The average of 48 numbers is 48.
It was found later that observation 48 was wrongly taken as 84 at two places
Formula used:
Average = Sum of observations/number of observations ---- (1)
Calculations:
Sum of 48 numbers = 48 × 48 = 2304
Sum when found that observation 48 was wrongly taken as 84 at two places
= 2304 - (84 × 2) + (48 × 2)
= 2304 - 168 + 96
= 2232
Required average = 2232/48 = 46.5