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Mean

The average o...

Question

The average of 6 observations is 45.5. If one new observation is added to the previous observations, then the new average becomes 47. The new observation is

A

58

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B

56

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C

50

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D

46

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Solution

The correct option is C 56
Let the new observation be x Then,
$\frac{x + 6 \times 45.5}{7} = 47$
$\Rightarrow x + 273 = 47 \times 7 = 329$
$\Rightarrow x = 329 - 273 = 56$

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