Solution no. 1:-Arithmetic Mean = ∑X/NGiven : Mean = 50 and N = 100Therefore,50 =∑X/100∑X(Wrong) = 5000Correct value = 110Incorrect value = 100Correct Arithmetic Mean = {∑X (Wrong) + Correct valueof observation- Incorrect value of observation}/N⇒ Correct Mean = (5000 + 110 - 100)/100⇒ Correct mean = 5010/100⇒ Correct Mean = 50.1Answer

Solution no. 2 :-In this question, 'the value of thelargest item' should be written instead of 'latest item'.The value of the Median will not change because whatever values are added or subtracted from median, the total observation will remain 100 and median is the centrally located value of a series such that the half of the value or items of the series are above it and the otherhalf arebelow it.Formula of median = Size of(N+1)/2th ItemTotal observations = 100Size of (N+1)/2th item⇒(100+1)/2th Item⇒ 101/2⇒ 50.5th Item110 is corrected observation instead of 100 and 110 is the largest of all the observation. So it will not make any difference in value of median. The value of Median will be 52.Answer