Question
Draw the frequency polygon representing the above data without drawing the histogram.
✓
Answer
We have to draw a frequency polygon without a histogram.
Firstly, we find the class marks of the classes given that is 30-40, 40-50, 50-60, 60-70 ....
The class mark $=\frac{(30+40)}{2}$
$\Rightarrow\frac{70}{2}=35$
Similarly, we can determine the class marks of the other classes.
So, table for class marks is shown below:
We can draw a frequency polygon by plotting the class marks along the horizontal axis and the frequency along the vertical axis. Now, plotting all the points B(35, 3), C(45, 6), D(55, 25), E(65, 65), F(75, 50), G(85, 28), H(95,14), also plot the point corresponding to the considering classes 20-30 and 100-110 each with frequency 0. Join all these point line segments.
Firstly, we find the class marks of the classes given that is 30-40, 40-50, 50-60, 60-70 ....
The class mark $=\frac{(30+40)}{2}$
$\Rightarrow\frac{70}{2}=35$
Similarly, we can determine the class marks of the other classes.
So, table for class marks is shown below:
|
Class interval (km/ h)
|
Class marks
|
Frequency
|
|
30-40
40-50
50-60
60-70
70-80
80-90
90-100
|
35
45
55
65
75
85
95
|
3
6
25
65
50
28
14
|
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