**Given the scores: \(4, 7, 8, 11, 13, 8\) with corresponding frequencies: \(3, 5, 2, 7, 2, 1\) respectively. The mean score is...**

### Question

Given the scores: \(4, 7, 8, 11, 13, 8\) with corresponding frequencies: \(3, 5, 2, 7, 2, 1\) respectively. The mean score is

### Options

A) \(7.0\)

B) \(8.7\)

C) \(9.5\)

D) \(11.0\)

The correct answer is B.

### Explanation:

Mean \(= \frac{\sum fx}{\sum f}\)

Mean \(= \frac{(4 \times 3) + (7 \times 5) + (8 \times 2) + (11 \times 7) + (13 \times 2) + (8 \times 1)}{20}\)

Mean \(= \frac{174}{20} = 8.7\)

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## Discussion (4)

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Mean \(= \frac{\sum fx}{\sum f}\)

Mean \(= \frac{(4 \times 3) + (7 \times 5) + (8 \times 2) + (11 \times 7) + (13 \times 2) + (8 \times 1)}{20}\)

Mean \(= \frac{174}{20} = 8.7\)

summation of fx is 234 and summation of f is 20

234/20 is 11.7

summation of fx is 234 and summation of f is 20

234/20 is 11.7

Mean \(= \frac{\sum fx}{\sum f}\)

Mean \(= \frac{(4 \times 3) + (7 \times 5) + ... + (8 \times 1)}{20}\)

Mean \(= \frac{174}{20} = 8.7\)