If the mean of the following data is 202 find the value of p ...

Question

If the mean of the following data is 202 find the value of p

Accepted Answer

The mean is the average or computed centre value of a set of numbers used to determine the data's central tendency. The statistical measure of central tendency is a single value that represents the full collection of data or distribution.

Variable (xi)	Frequency (fi)	fi xi
10	6	60
15	8	120
20	p	20p
25	10	250
30	6	180
	Σ fi = 30 + p	Σ fi xi = 610 + 20p

It is given that

Mean = 20.2

We know that

Mean = Σ fi xi/ Σ fi

So we get

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

On further calculation

610 + 20p = 606 + 20.2p

So we get

0.2p = 4

By division

p = 20

Therefore, the value of p is 20.

RS Aggarwal Solutions Class 9 Mathematics Solutions for Mean Median And Mode Of Ungrouped Data Exercise 18B in Chapter 18 - Mean Median And Mode Of Ungrouped Data