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  • If the mean of the following data is 20.2, find the value of p:

If the mean of the following data is 20.2, find the value of p:

x 10 15 20 25 30
f 6 8 p 10 6

Answers (1)

Answer : \left [ p=20 \right ]

The frequency distribution table can be prepared as follows-

x_{i} f_{i} x_{i}f_{i}
10 6 60
15 8 120
20 p 20 p
25 10 250
30 6 180
  \sum f_{i}=30+p \sum f_{i}x_{i}=610+20p

Mean =\bar{x}=\frac{\sum f_{i}x_{i}}{\sum f_{i}}=\frac{610+20p}{30+p}=20.2

610+20p=606+20.2p

610-606=20.2p-20p

4=0.2 p

p=\frac{4}{0.2}=\frac{40}{2}=20

Hence, the value of p is 20

Posted by

infoexpert23

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