Question

If the mean of following data is 28.25 find the value of p:

X 15 20 25 30 35 40
F 8 7 p 14 15 6

Answer 1

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Answer 2

The value of p is 10.

Step-by-step explanation:

Given : If the mean of following data is 28.25.

X  15 20 25 30 35 40

F   8  7    p   14   15  6

To find : The value of p ?

Solution :

The mean of the data is given by,

$M=\frac{\sum x_if_i}{\sum f_i}$

Substitute the values,

$28.25=\frac{15\times 8+20\times 7+25\times p+30\times 14+35\times 15+40\times 6}{8+7+p+14+15+6}$

$28.25=\frac{120+140+25p+420+525+240}{50+p}$

$28.25(50+p)=1445+25p$

$1412.5+28.25p=1445+25p$

$28.25p-25p=1445-1412.5$

$3.25p=32.5$

$p=\frac{32.5}{3.25}$

$p=10$

Therefore, the value of p is 10.

#Learn more

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

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