Question

the mean and the medium of 100 observation are 50 and 52 respectively the value of the largest observation is 100 it was later found that it is 110 and 100 find the true mean and median

Answer 1

Hi friend,

Here is your answer,
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Median = 52
Mean = 50
Total numbers of observation = 100

Mean = Sum of the observations / Total number of observation
    50  = Sum of observations/100
Sum of observation = 5000

Correct sum of observation = 5000 - 100 + 110
                                            = 5010
Correct mean = ⁵⁰¹⁰/₁₀₀
                       = 50.10

Median would be same because the number of observations is not changing.

Therefore Median = 52
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