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The average of 19 numbers is 22.8. The average of the first ten number is 18.4 and that of the last ten numbers is 28.6. If the 10th number is excluded from the given numbers, then what is the average of the remaining numbers?

The average of 19 numbers is 22.8. The average of the first ten number is 18.4 and that of the last ten numbers is 28.6. If the 10th number is excluded from the given numbers, then what is the average of the remaining numbers? Correct Answer 22

Average of 19 numbers = 22.8

Sum of the 19 numbers = 22.8 × 19 = 433.2

Average of next 10 numbers = 18.4

Sum of next 10 numbers = 18.4 × 10 = 184

Average of last 10 number = 28.6

Sum of last 10 number = 28.6 × 10 = 286

10th number = 286 + 184 – 433.2 = 36.8

Sum of 18 number = 433.2 – 36.8 = 396.4

Average of 18 number = 396.4/18 = 22 

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