The mean of 200 items was 50. Later on it was discovered that 2 items were misread as 92 and 8 instead of 192 and 88. Find the correct mean.

Since,

Mean of 200 items = 50

Sum of 200 items/ Number of items = Mean

Sum of 200 items = Mean x number of items

= 50 x 200

= 10,000

Wrong sum of 200 items = 10,000

Correct sum = 10,000 + 192 +88 - 92 - 8 [As we add the correct items and subtract the wrong items]

= 10,280 - 100

= 10,180

Therefore,

Correct mean = 10,180/ 200

= 50.9

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