Question

if the mean of the following data is 20.6 find the value of p
x- 10. 15. p. 25. 35.
f- 3. 10. 25. 7. 5

Answer 1

this is the required solution...p=20

Answer 2

Answer:

The value of p=20.

Step-by-step explanation:

Given : The mean of the data is 20.6.

To find : The value of p?

Solution :

$x_i$       -      10        15        p        25         35

$f_i$        -       3        10       25        7           5

$f_ix_i$   -      30      150     25p      175       175

The mean of the data is the summation of all the $f_ix_i$ divided by numbers of frequency.

$Mean=\frac{\sum f_ix_i}{\sum f_i}$

$20.6=\frac{30+150+25p+175+175}{3+10+25+7+5}$

$20.6=\frac{530+25p}{50}$

$20.6\times 50=530+25p$

$1030-530=25p$

$500=25p$

$p=\frac{500}{25}$

$p=20$

Therefore, The value of p=20.