Question

A survey asked a group of people the size of their households. The results are shown in the frequency distribution.

What is the mean of the frequency distribution?

Household size 1 2 3 4 5
f 3 4 6 7 5
25


16.4


5


3.28

Answer 1

3.28! is your answer

Answer 2

Household size (x) Frequency (f) fx
1 3 1 × 3 = 3
2 4 2 × 4 = 8
3 6 3 × 6 = 18
4 7 4 × 7 = 28
5 5 5 × 5 = 25

Total of fx (Σfx) = 3 + 8 + 18 + 28 + 25 = 82
Total frequency (Σf) = 3 + 4 + 6 + 7 + 5 = 25
Mean = Σfx ÷ Σf = 82 ÷ 25 = 3.28

Correct answer: option D