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

1.	If the mean of the following data is 20.2, find the value of p:
Answer» According to the question, Mean = 20.2 So, ∑f_ix_i/∑f_i = 20.2 So we get, ∑f_ix_i= (10×6)+(15×8)+(20×p)+(25×10+)(30×6) =610+20p We also get, ∑f_i=6+8+p+10+6 =30+p Therefore, ∑f_ix_i/∑f_i=20.2 (610+20p)/30+p=20.2 20.2(30+p) =610+20p 606+20.2p=610+20p 20.2p-20p=610-606 0.2p=4 p=4/0.2 p=20

Answer»

According to the question,

Mean = 20.2

So,

∑f_ix_i/∑f_i = 20.2

So we get,

∑f_ix_i= (10×6)+(15×8)+(20×p)+(25×10+)(30×6)

=610+20p

We also get,

∑f_i=6+8+p+10+6

=30+p

Therefore,

∑f_ix_i/∑f_i=20.2

(610+20p)/30+p=20.2

20.2(30+p) =610+20p

606+20.2p=610+20p

20.2p-20p=610-606

0.2p=4

p=4/0.2

p=20

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

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