Q. The average of ten numbers is calculated as 15. It was discovered later on that while calculating the average one number namely 36 was wrongly read as 26. Find the correct average.
✅ Correct Answer: (A)
16
Explanation: Since 36 was misread as 26, i.e., 26 was counted while calculating average.
Incorrect average = 15
∴ Incorrect sum of ten numbers = 10 × 15 = 150
∴ Correct sum total = 150 + 36 – 26 = 160
∴ Correct average = 160 10 = 16
Explanation by: Tina Singh
Since 36 was misread as 26, i.e., 26 was counted while calculating average.
Incorrect average = 15
∴ Incorrect sum of ten numbers = 10 × 15 = 150
∴ Correct sum total = 150 + 36 – 26 = 160
∴ Correct average = 160 10 = 16
Incorrect average = 15
∴ Incorrect sum of ten numbers = 10 × 15 = 150
∴ Correct sum total = 150 + 36 – 26 = 160
∴ Correct average = 160 10 = 16