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Average

The average o...

Question

The average of six observations is 12. The average decreases by 1, when a new observation is included. What is the seventh observation?

A

1

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B

3

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C

5

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D

6

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E

None of these

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Solution

The correct option is C 5
Total of 6 observations = 6 $\times$ 12 = 72
Total of 7 observations (including the 7th)
= 7 $\times$ (12 -1)
= 77
$∴$ 7th observation = 77 -72 = 5

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