Question

The frequency table below summarizes a list of recorded length ( in inches ) of randomly sampled fish in a pond. Find the mean.

Answer 1

Given,

The frequency of length of fishes is,

Value frequency

5 3

6 1

7 1

8 2

9 3

`10 4

11 6

12 1

Required

The mean length of the fish.

The mean is calculated as,

`\begin{gathered} Mean\text{ =}(\sum^xf)/(\sum^f) \\ =(5*3+6*1+7*1+8*2+9*3+10*4+11*6+12*1)/(21) \\ =(15+6+7+16+27+40+66+12)/(21) \\ =(189)/(21) \\ =9 \end{gathered}`

Hence, the mean length is 9.