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

Given: Number of observations = 200 Mean = 50 Mean = ⇒ 50 = ⇒ Sum of all observations = 50 x 200 ⇒ Sum of all observations = 10,000 Correct sum of observations = Incorrect sum - incorrect observations + correct observations = 10,000 - (92 + 8) + (192 + 88) = 10,000 - 100 + 280 = 10,180 Correct Mean = = 50.9 Hence, the correct mean is 50.9.