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WAEC - Further Mathematics (2015 - No. 33)

In calculating the mean of 8 numbers, a boy mistakenly used 17 instead of 25 as one of the numbers. If he obtained 20 as the mean, find the correct mean. 
24
23
21
19

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Let the sum of the 8 numbers = y.

\(\frac{y}{8} = 20 \implies y = 20 \times 8 = 160\)

\(160 - 17 = 143 (\text{the sum of the other 7 numbers})\)

\(mean = \frac{143 + 25}{8} = \frac{168}{8}\)

= 21

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