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

The Frequency Table Below Summarizes A List Of Recorded Length In Inches Of Randomly Sampled Fish In A Pond Find The Mean class=

Sagot :

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,

[tex]\begin{gathered} Mean\text{ =}\frac{\sum^xf}{\sum^f} \\ =\frac{5\times3+6\times1+7\times1+8\times2+9\times3+10\times4+11\times6+12\times1}{21} \\ =\frac{15+6+7+16+27+40+66+12}{21} \\ =\frac{189}{21} \\ =9 \end{gathered}[/tex]

Hence, the mean length is 9.

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