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Question
Draw ogive for the following data and hence find the values of D1, Q1, P40.
| Marks less than | 10 | 20 | 30 | 40 | 50 | 60 | 70 | 80 | 90 |
| No. of students | 4 | 6 | 24 | 46 | 67 | 86 | 96 | 99 | 100 |
Solution
N = 100
To draw the less than ogive we have to plot the points (10, 4), (20, 6), (30, 24), (40, 46), (50, 67), (60, 86), (70, 96), (80, 99), (90, 100).
For D1, we have to consider `"N"/(10) = (100)/(10)` = 10
For Q1, we have to consider `"N"/(4) = (100)/(4)` = 25
For P40, we have to consider `(40"N")/(100)=(40xx100) /(100)` = 40
∴ We consider the values 10, 25, and 40 on the Y-axis. From these points, we draw lines parallel to X-axis. From the points where they intersect the less than ogive, we draw perpendiculars on the X-axis. The values at the foot of the perpendicular represent the values of D1, Q1, and P40 respectively.
∴ D1 ≈ 22, Q1 ≈ 30.4, P40 ≈ 37
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