Mean of 50 observations was found to be 80 4 But later on it was discovered that 96 was - Maths - Statistics

Question

Mean of 50 observations was found to be 80 4 But later on it was
discovered that 96 was misread as 69 at one place Find the correct
mean If to each observation a constant value k is added, how is the
mean affected?

Ajanta Trivedi · Accepted Answer

mean of 50 observations = 80 4
the sum of 50 observations = 80 4*50=4020
since 96 was misread as 69 at one place
the actual sum = 4020-69+96=4047
therefore the correct mean = 4047/50= 80 94
if k is added to each observation
the sum of n observations = 4047+50k
therefore the mean = (4047+50k)/50 = 80 94+k
hope this helps you

Mean of 50 observations was found to be 80.4. But later on it was discovered that 96 was misread as 69 at one place. Find the correct mean. If to each observation a constant value k is added, how is the mean affected?