Question

if the mean of the following data is 20.2 then find the value of p.

Answer 1

xi=10,15,20,25,30
fi=6,8,p,10,6
mean=20.2
$mean = \frac{(sigma)(fixi)}{(sigma)fi} = 20.2$
sum of fi=30+p
sum of fixi={(60)+(120)+(20p)+(250)+(180)}=610+20p
$mean = \frac{610 + 20p}{30 + p} = 20.2 \\ 610 + 20p = 20.2 \times (30 + p )\\ 610 + 20p = 606 + 20.2p \\ 610 - 606 = 20.2p - 20p \\ 4 = .2p = \frac{2}{10} p = 4 \\ p = \frac{40}{2} = 20$
value of p is 20

Answer 2

Hi there!

_______________________

What is Mean?

The average of a given set of numbers is called the Arithmetic mean, or simply the mean, of the given numbers.

Mean = $\frac{Sum \: of \: observations }{Number \: of \: observations }$

_______________________

For your solution to the given question refer to the attachment.

Thanks for the question!

☺️☺️☺️