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The mean of the following frequency distribution is ____.

Marks of students
0-10
10-20
20-30
30-40
40-50
50-60
No. of students
12
18
27
20
17
6

see full answer

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Detailed Solution

The mean of the following frequency distribution is 28.
Given:

Marks of students	0-10	10-20	20-30	30-40	40-50	50-60
No. of students	12	18	27	20	17	6

Formula:

Mean = ∑ f i x i ∑ f i

, where

f

is the frequency and

x

is the mid value of the given class.
We have to find the mean of the following frequency distribution. The frequency distribution table will be

Class	Frequency ( $f_{i}$ )	Mid-value ( $x_{i}$ )	$f_{i} x_{i}$
0-10	12	5	60
10-20	18	15	270
20-30	27	25	675
30-40	20	35	700
40-50	17	45	765
50-60	6	55	330
	Σ $f_{i}$ =100		Σ $f_{i} x_{i}$ =2800

To calculate the mean, apply formula:

M e a n = 2800100 = 28

The mean of the following data is 28.

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