The mean of 100 items was found to be 30. If at the time of calculation, two items were wrongly taken as 32 and 12 instead of 23 and 11, the correct mean is?
- 29.7
- 29.8
- 29.9
- None
Explanation
The mean of 100 items is 30, so the total sum of all items is:
30 x 100 = 3000
However, two items were wrongly taken as 32 and 12 instead of 23 and 11, which means the correct total sum should be:
3000 - 32 - 12 + 23 + 11 = 2990
Since there are 100 items, the correct mean is:
2990 ÷ 100 = 29.9
So, the correct answer is: 29.9
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