The mean of 5 numbers is 27, if one number is excluded the mean of the remaining numbers becomes 25. Find the excluded number.
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Step-by-step explanation:
Mean of 5 observations = 27
Mean=\frac{Sumofallobservations}{No.ofobservations}Mean=
No.ofobservations
Sumofallobservations
Sum of 5 observations = 27 × 5 = 135
On excluding an observation, the mean of remaining 6 observations = 25
Total of remaining 4 observations = 25 4 = 100
Included observation = Total mean of 5 observations – Total mean of 4 observations
= 135 - 100 = 35
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Step-by-step explanation:
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