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Question
The mean of 5 numbers is 27. If one new number is included, the new mean is 25. Find the included number.
Solution
Mean of 5 observations = 27
Total sum of 5 observations = 27 × 5 = 135
New mean with 6 numbers
When the new number is included, the mean becomes 25, and the total numbers increase to 6.
On including an observation, the mean of 6 observation = 25 × 6 = 150
⇒ Included observations = Total Mean of 6 observations – Total mean of 5 observations
= 150 − 135 = 15
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