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Question
Ages of 44 residents living in a society are given in the following frequency distribution table.
Ages (in years) Residents 10-20 5 20-30 9 30-40 16 40-50 11 50-60 3
Construct the frequency curve for the data without using histogram.
Ages of 44 residents living in a society are given in the following frequency distribution table.
| Ages (in years) | Residents |
| 10-20 | 5 |
| 20-30 | 9 |
| 30-40 | 16 |
| 40-50 | 11 |
| 50-60 | 3 |
Construct the frequency curve for the data without using histogram.
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Solution
The correct option is D
First, we have to calculate the class marks of the all the classes.
Class intervals
(Ages) Frequency
(No. of patients) Class marks Points 0-10 0 5 (5,0) 10-20 5 15 (15,5) 20-30 9 25 (25,9) 30-40 16 35 (35,16) 40-50 11 45 (45,11) 50-60 3 55 (55,3) 60-70 0 65 (65,0)
Take suitable scale,
On X-axis 1 cm = 1 class interval
On Y-axis 1 cm = 2 units
Take class marks on X-axis and frequency on Y-axis.
Now plot the points in the graph.
First, we have to calculate the class marks of the all the classes.
| Class intervals (Ages) | Frequency (No. of patients) | Class marks | Points |
| 0-10 | 0 | 5 | (5,0) |
| 10-20 | 5 | 15 | (15,5) |
| 20-30 | 9 | 25 | (25,9) |
| 30-40 | 16 | 35 | (35,16) |
| 40-50 | 11 | 45 | (45,11) |
| 50-60 | 3 | 55 | (55,3) |
| 60-70 | 0 | 65 | (65,0) |
Take suitable scale,
On X-axis 1 cm = 1 class interval
On Y-axis 1 cm = 2 units
Take class marks on X-axis and frequency on Y-axis.
Now plot the points in the graph.
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