Find the arithmetic mean of the following data.

13

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12

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11

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10

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Solution

The correct option is D $10$
$m e a n = \frac{\sum x_{i} f_{i}}{\sum f_{i}} = \frac{(6 \times 9) + (8 \times 7) + (10 \times 15) + (12 \times 13) + (14 \times 6)}{9 + 7 + 15 + 13 + 6} = \frac{54 + 56 + 150 + 156 + 84}{50}$
$= \frac{500}{50} = 10$

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