Following is the distribution of marks of 70 students in a periodical test:

Marks Less than
10 Less than
20 Less than
30 Less than
40 Less than
50

Number of students 3 11 28 48 70

Draw a cumulative frequency for the above data.

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Solution

Let us plot the points A(10,3), B(20,11), C(30,28), D(40,48) and E(50,70).
Now, let us join AB, BC, CD and DE with a free hand to get the curve representing the ‘less than type’ series.

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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

For the following distribution draw a 'less than type' ogive and from the curve find the median.

Marks obtained	Less than 20	Less than 30	Less than 40	Less than 50	Less than 60	Less than 70	Less than 80	Less than 90	Less than 100
Number of students	2	7	17	40	60	82	85	90	100

Marks	Less than 10	Less than 20	Less than 30	Less than 40	Less than 50
No. of Students	5	15	55	75	100

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