Convert the following data in a simple frequency distribution:

5 students obtained less than 3 marks

12 students obtained less than 6 marks

25 students obtained less than 9 marks

33 students obtained less than 12 marks

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Solution

The given information can be summarised as follows.

Marks Cumulative Frequency
(c.f.)

Less than 3
Less than 6
Less than 9
Less than 12 5
12
25
33

This can be presented in the form of a simple frequency distribution as follows.

Marks Frequency
(f)

0 − 3
3 − 6
6 − 9
9 − 12 5
7 (= 12 − 5)
13 (= 25 − 12)
8 (= 33 − 25)

$Σ f = 33$

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Similar questions

Marks	Number of students
Marks less than 10 Marks less than 20 Marks less than 30 Marks less than 40 Marks less than 50	3 11 28 48 70

Marks	Less than 10	Less than 20	Less than 30	Less than 40	Less than 50
Number of students	3	11	28	48	70

\begin{matrix} Marks & No. of students less than 10 & 6 less than 20 & 15 less than 30 & 30 less than 40 & 39 less than 50 & 53 less than 60 & 70 \end{matrix}

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Marks	Cumulative Frequency (c.f.)
Less than 3 Less than 6 Less than 9 Less than 12	5 12 25 33