Average of 9 numbers is 25. When arranged in ascending order, average of the smallest 4 numbers is 15 and that of the largest 4 numbers is 36. Find the 5th number?
Explanation:
The sum of all 9 numbers = 9 × 25 = 225
Average of the smallest 4 numbers = 4 × 15 = 60 Average of the largest 4 numbers = 4 × 36 = 144
⇒ Sum of all 9 numbers = Sum of smallest 4 numbers + 5th number + Sum of largest 4 numbers ⇒ 225 = 60 + 5th number + 144 ⇒ 5th number = 225 - 204 = 21
Hence, option (c).
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