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Histograms

Draw a 'more ...

Question

Draw a 'more than' ogive for the data given below which gives the marks of 100 students.

Marks 0−10 10−20 20−30 30−40 40−50 50−60 60−70 70−80

Number of students 4 6 10 10 25 22 18 5

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Solution

The frequency distribution table of more than type is as follows:

Marks (lower class limits) Cumulative frequency (cf)

More than 0 96 + 4 = 100

More than 10 90 + 6 = 96

More than 20 80 + 10 = 90

More than 30 70 + 10 = 80

More than 40 45 + 25 = 70

More than 50 23 + 22 = 45

More than 60 18 + 5 = 23

More than 70 5

Taking the lower class limits on x−axis and their respective cumulative frequencies on y−axis, its ogive can be obtained as follows:

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