Mathematics
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 |
Answer
Cumulative frequency distribution table :
| Age in years (less than) | Cumulative frequency |
|---|---|
| 10 | 0 |
| 20 | 17 |
| 30 | 32 |
| 40 | 37 |
| 50 | 53 |
| 60 | 58 |
| 70 | 65 |
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, 0), (20, 17), (30, 32), (40, 37), (50, 53), (60, 58) and (70, 65).
Join the points marked by a free hand curve.
The required ogive is shown in the adjoining 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 Use graph paper for this question.
The table given below shows the monthly wages of some factory workers.
(i) Using the table, calculate the cumulative frequencies of workers.
(ii) Draw a cumulative frequency curve.
Wages (in ₹) No. of workers 6500 - 7000 10 7000 - 7500 18 7500 - 8000 22 8000 - 8500 25 8500 - 9000 17 9000 - 9500 10 9500 - 10000 8 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 (a) Use the information given in the adjoining histogram to construct a frequency table.
(b) Use this table to construct an ogive.
