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
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 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 (a) Use the information given in the adjoining histogram to construct a frequency table.
(b) Use this table to construct an ogive.
