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The weights of coffee im 70 packets are ...

The weights of coffee im 70 packets are shown in the following table

Determine the modal weight.

A

201.4g

B

201.7g

C

201.5g

D

201.6g

Text Solution

Verified by Experts

The correct Answer is:
B
In the given data, the highest frequency is 26, which is lies in the interval 201-202
Here, `l=201, f_(m)=26, f_(1)=12, f_(2)=20 and ("class width")h=1`
`therefore "Mode"l+((f_(m)-t_(1))/(2f_(m)-t_(1)-f_(2)))xxh=201+((26-12)/(2xx26-12-20))xx1`
`=201+((14)/(52-32))=201+(14)/(20)=201+0.7=201.7g`
Hence the modal weight is 201.7g
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