Mathematics
The mean of 6 numbers is 42. If one number is excluded, the mean of remaining numbers is 45. Find the excluded number.
Statistics
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Answer
Given:
Number of observations = 6
Mean = 42
⇒ Sum of all 5 observation = 6 x 42 = 252
On excluding an observation, the mean of the remaining 5 observation = 45
∵ Sum of all remaining 5 observation = 5 x 45 = 225
⇒ Excluded observation = Sum of all 6 observations - Sum of all remaining 5 observations
= 252 - 225
= 27
Hence, the excluded number is 27.
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