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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 |
No of Students | 4 | 6 | 10 | 10 | 25 | 22 | 18 | 5 |
Solution
The frequency distribution table of more than type is as follows:
Marks (upper 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 lower class limits of on x-axis and their respective cumulative frequencies on y-axis,its ogive can be drawn as follows:
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