Question 70

Given that the mean of five numbers is 28. If one of them is excluded, the mean gets reduced by 5. Determine the excluded number.

Solution

Given, Mean of five numbers = 28

$$=$$> Sum of five numbers = 28 x 5 = 140

According to the problem,

Mean of four numbers = 28-5 = 23

$$=$$> Sum of four numbers = 23 x 4 = 92

$$\therefore\ $$Excluded number = Sum of five numbers - Sum of four numbers = 140-92 = 48

Hence, the correct answer is Option C

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