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Mean

The mean of a...

Question

The mean of a set of 20 observations is 19.3. The mean is reduced by 0.5 when a new observation is added to the set. The new observation is

19.8

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9.8

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9.2

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8.8

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Solution

The correct option is D 8.8
Mean of 20 observations = 19.3
If a new observation is added, then the mean is reduced by 0.5
So, new observation
$= 21 \times (19.3 - 0.5) - 19.3 \times 20 = 21 \times 18.8 - 386 = 394.8 - 386 = 8.8$

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