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Mean for Frequency Distribution Table

Find the mean...

Question

Find the mean of the following $20$ observations:
$12, 2, 3, 3, 2, 12, 12, 1, 4, 5, 4, 4, 3, 11, 11, 2, 6, 2, 3, 6, 12$ .

A

4

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B

5

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C

6

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D

7

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Solution

The correct option is B $6$
Arithmetic mean using direct method formula is $¯ x = \frac{\sum f_{i} x_{i}}{\sum f_{i}}$ .
$∴ ¯ x = \frac{120}{20} = 6$ .

Hence, option $C$ is correct.

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