The mean of the following frequency distribution is 50. Find the value of p.

Classes 0−20 20−40 40−60 60−80 80−100

Frequency 17 28 32 p 19

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Solution

Given that the mean value of the following distribution is 50.

Class 0-20 20-40 40-60 60-80 80-100

Frequency 17 28 32 p 19

We have to find the value of p.

To find the value of p, we have following procedure

Class Mid-value x_i Frequency f_i f_ix_i

00-20 10 17 170

20-40 30 28 840

40-60 50 32 1600

60-80 70 p 70p

80-100 90 19 1710

Thus, we have

We know that the formula of mean is given by

Hence

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Similar questions

Class	0 – 20	20 – 40	40 – 60	60 – 80	80 – 100
Frequency	12	15	32	x	13

Class :	0−20	20−40	40−60	60−80	80−100
Frequency :	7	p	10	9	13

Class	0−20	20−40	40−60	60−80	80−100
Frequency	7	p	10	9	13

Class	0-20	20-40	40-60	60-80	80-100	Total
Frequency	17	f₁	32	f₂	19	120

Compute the mode of the following data: [CBSE 2013]

Class	0−20	20−40	40−60	60−80	80−100
Frequency	25	16	28	20	5

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Classes	0−20	20−40	40−60	60−80	80−100
Frequency	17	28	32	p	19