###
**The mean of 50 numbers is 30. Later it was discovered that two entries were wrongly entered as 82 and 13 instead of 28 and 31. Find the correct mean.**

A. 36.12
B. 30.66
C. 29.28
D. 38.21
**Answer: Option C**

## Show Answer

Solution(By Apex Team)

According to the question,
The mean of 50 numbers is = 30
Sum of 50 numbers is,
= 50 × 30 = 1500
Later it was discovered that two entries were wrongly entered as 82 and 13 instead of 28 and 31.
∴ Difference = (82 + 13) – (28 + 31)
= 95 – 59
= 36 (extra)
∴ Actual sum of 50 numbers is;
= 1500 – 36 = 1464
∴ Actual average
$\large=\frac{1464}{50}$
= 29.28

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