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The arithmetic mean of marks of the students for the given data is:

Marks

No. of students

0-10

12

10-20

18

20-30

27

30-40

20

40-50

17

50-60

60


1. 38
2. 48
3. 18
4. 28

1 Answer

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Best answer
Correct Answer - Option 1 : 38

Concept:

Mean of the classed Data:

\(\rm Mean =\dfrac{ \sum\limits_{i=1}^{i=n}f_i\overline x_i}{\sum\limits_{i=1}^{i=n}f_i}\), where n is the total number of class and f and x̅ are the frequency and mean of the class

Calculation:

Marks Middle Value Frequency
0 - 10 5 12
10 - 20 15 18
20 - 30 25 27
30 - 40  35 20
40 - 50 45 17
50 - 60 55 60

 

Mean = \(\dfrac{5\times12+15\times18+25\times27+35\times20+45\times17+55\times60}{12+18+27+20+17+60}\)

Mean = \(5770\over154\) = 37.467 ≈ 38

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