Home » » Given the scores: $$4, 7, 8, 11, 13, 8$$ with corresponding frequencies: $$3, 5, 2, 7, 2, 1$$ respectively. The mean score is...

# 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) $$11.0$$

### 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 $$= \frac{174}{20} = 8.7$$

## Discussion (4)

• 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

• Mean $$= \frac{\sum fx}{\sum f}$$
Mean $$= \frac{(4 \times 3) + (7 \times 5) + ... + (8 \times 1)}{20}$$
Mean $$= \frac{174}{20} = 8.7$$