Mathematics
Draw an ogive for the following distribution :
| Marks obtained | No. of students |
|---|---|
| less than 10 | 8 |
| less than 20 | 25 |
| less than 30 | 38 |
| less than 40 | 50 |
| less than 50 | 67 |
Answer
Cumulative frequency distribution table :
| Marks obtained | Class interval | No. of students (Cumulative frequency) |
|---|---|---|
| less than 10 | 0 - 10 | 8 |
| less than 20 | 10 - 20 | 25 |
| less than 30 | 20 - 30 | 38 |
| less than 40 | 30 - 40 | 50 |
| less than 50 | 40 - 50 | 67 |
Steps of construction of ogive :
Take 2 cm = 10 units along x-axis.
Take 1 cm = 10 units along y-axis.
Ogive always starts from a point on x-axis representing the lowest limit. Mark point (0, 0).
Take upper class limits along x-axis corresponding cumulative frequencies along y-axis, mark the points (10, 8), (20, 25), (30, 38), (40, 50) and (50, 67).
Join the points marked by a free hand curve.
The required ogive is shown in the below figure:
Related Questions
Draw a cumulative frequency curve (ogive) for the following distributions :
Class interval Frequency 10 - 19 23 20 - 29 16 30 - 39 15 40 - 49 20 50 - 59 12 Draw an ogive for the following distribution :
Age in years (less than) Cumulative frequency 10 0 20 17 30 32 40 37 50 53 60 58 70 65 (a) Use the information given in the adjoining histogram to construct a frequency table.
(b) Use this table to construct an ogive.
Draw a cumulative frequency curve (ogive) for the following distributions :
Class Interval Frequency 10 - 15 10 15 - 20 15 20 - 25 17 25 - 30 12 30 - 35 10 35 - 40 8