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Question

If mean of given data is 21, then value of p is:

x 10 15 20 25 35
f610p10 8

A
24
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B
10
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C
26
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D
none of the above
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Solution

The correct option is C 26

We know, mean of a frequency distribution is calculated by:

¯¯¯x=fixifi.

Given mean ¯¯¯x=21.

fixi =(10×6)+(15×10)+(20×p)+(25×10)+(35×8)

=60+150+20p+250+280

=740+20p.

& fi=6+10+p+10+8

=34+p.

Then,

21=740+20p34+p

21(34+p)=740+20p

714+21p=740+20p

21p20p=740714

p=26.

Thus, option C is correct.


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