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Mathematics

The mean of 10 numbers is 24. If one more number is included, the new mean is 25. Find the included number.

Statistics

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Answer

Given:

Number of observations = 10

Mean = 24

⇒ Sum of all 10 observations = 10 x 24 = 240

On including an observation, the mean of the 11 observations = 25

∵ Sum of all 11 observations = 11 x 25 = 275

⇒ Included observation = Sum of all 11 observations - Sum of all 10 observations

= 275 - 240

= 35

Hence, the included number is 35.

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