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Estimate the mean of the lengths ( in inches ) of the fish given in the following grouped frequency table. round the final answer to two decimal places.

Estimate The Mean Of The Lengths In Inches Of The Fish Given In The Following Grouped Frequency Table Round The Final Answer To Two Decimal Places class=

Sagot :

Given,

The data of the length of the fishes is,

class interval frequency

2 - 5 10

6 - 9 12

10 - 13 6

14 - 17 7

Required

The mean length of the fishes.

Taking the class interval as,

class interval x frequency

1.5 - 5.5 3.5 10

5.5 - 9.5 7.5 12

9.5 - 13.5 11.5 6

13.5 - 17.5 15.5 7

Mean length of the fishes is,

[tex]\begin{gathered} Mean=\frac{3.5\times10+7.5\times12+11.5\times6+15.5\times7}{35} \\ =\frac{35+90+69+108.5}{35} \\ =\frac{302.5}{35} \\ =8.64 \end{gathered}[/tex]

Hence, the mean length of the fishes is 8.64 inches approximately.

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