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CBSE Class 11-commerce Answered

Q.14 Draw a ‘less than’ ogive and ‘more than’ ogive curves for the following frequency

distribution.

Marks 0-10 10-20 20-30 30-40 40-50 50-60

No. of students 3 4 8 10 3 2

Asked by sntshtrk530 | 04 Sep, 2017, 04:44: AM

Expert Answer

Less than ogive curves: In this method, frequencies are cumulated and presented in a graph corresponding to upper limits of the classes in a frequency distribution. Firstly, all the data are converted into less than cumulative frequency distribution as follows-

Marks	Cumulative Frequency
Less than 10	3
Less than 20	3 + 4 = 7
Less than 30	7 + 8 = 15
Less than 40	15 + 10 = 25
Less than 50	25 + 3 = 28
Less than 60	28 + 2 = 30

This curve is drawn by plotting cumulative frequencies against the upper limit of the class intervals. And these points are joined to obtain the less than ogive curve.

ii. More than ogive curves: In this method, frequencies are cumulated and presented in a graph corresponding to lower limits of the classes in a frequency distribution. Firstly, all the data are converted into more than cumulative frequency distribution as follows-

Marks	Cumulative Frequency
More than 0	30
More than 10	30 - 3 = 27
More than 20	27 - 4= 23
More than 30	23 - 8 = 15
More than 40	15 - 10 = 5
More than 50	5- 3 = 2
More than 60	2-2= 0

This curve is drawn by plotting cumulative frequencies against the lower limit of the class intervals. And these points are joined to obtain more than ogive curve.

Answered by Tharageswari S | 04 Sep, 2017, 10:30: AM

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