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Question

The following table of grouped data represents the weight (in kg) of 100 gas cylinders. Calculate the mode weight of a cylinder.
Weight(%)3−55−77−99−1111−1313−15
Number of gas cylinders161315251417

A
12.96
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B
15.96
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C
9.96
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D
10.96
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Solution

The correct option is D 9.96
The lower limit (l) of the modal class =9,
the class size (h) =2,
the frequency (f1) of modal class=25,
the frequency (f0) of the class preceding the modal class=15,
the frequency (f2) of the class succeeding
the modal class =14.

Now, using the formula:
lMode=l+(f1f02f1f0f2)×h=9+(2515(2×25)1514)×2=9+0.48×2=9+0.96=9.96

Therefore, the mode weight of a cylinder is 9.96 kg.

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