Mathematics
The mean of 5 numbers is 18. If one number is excluded, the mean of remaining numbers becomes 16. Find the excluded number.
Statistics
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Answer
Given:
Number of observations = 5
Mean = 18
⇒ Sum of all 5 observations = 5 x 18 = 90
On excluding an observation, the mean of the remaining 4 observations = 16
∵ Sum of all remaining 4 observations = 4 x 16 = 64
⇒ Excluded observation = Sum of all 5 observations - Sum of all remaining 4 observations
= 90 - 64
= 26
Hence, the excluded number is 26.
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