1
Question
45 students across the different levels of Intelligent Quotient are distributed in the grouped table given below.
IQ 60-70 70-80 80-90 90-100 100-110 110-120 120-130 No. of patients 3 6 9 11 11 7 2
Draw the frequency polygon for the data.
45 students across the different levels of Intelligent Quotient are distributed in the grouped table given below.
| IQ | 60-70 | 70-80 | 80-90 | 90-100 | 100-110 | 110-120 | 120-130 |
| No. of patients | 3 | 6 | 9 | 11 | 11 | 7 | 2 |
Draw the frequency polygon for the data.
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Solution
The correct option is B
We have to first calculate the class marks of all the classes.
Class intervals
(Ages) Frequency
(No. of patients) Class marks Points 50-60 0 55 (55,0) 60-70 3 65 (65,3) 70-80 6 75 (75,6) 80-90 9 85 (85,9) 90-100 11 95 (95,11) 100-110 11 105 (105,11) 110-120 7 115 (115,7) 120-130 2 125 (125,2) 130-140 0 135 (135,0)
Take suitable scale ,
On X-axis 1 cm = class interval length
On Y-axis 1 cm = 2 units
Take class marks on X-axis and frequency on Y-axis
Now plot the points on the graph.
We have to first calculate the class marks of all the classes.
| Class intervals (Ages) | Frequency (No. of patients) | Class marks | Points |
| 50-60 | 0 | 55 | (55,0) |
| 60-70 | 3 | 65 | (65,3) |
| 70-80 | 6 | 75 | (75,6) |
| 80-90 | 9 | 85 | (85,9) |
| 90-100 | 11 | 95 | (95,11) |
| 100-110 | 11 | 105 | (105,11) |
| 110-120 | 7 | 115 | (115,7) |
| 120-130 | 2 | 125 | (125,2) |
| 130-140 | 0 | 135 | (135,0) |
Take suitable scale ,
On X-axis 1 cm = class interval length
On Y-axis 1 cm = 2 units
Take class marks on X-axis and frequency on Y-axis
Now plot the points on the graph.
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