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  • Following table shows a frequency distribution for the speed of cars passing through at a particular spot on a high way Draw the frequency polygon representing the above data without drawing the histogram

Following table shows a frequency distribution for the speed of cars passing through at a particular spot on a high way :

Class interval (km/h) Frequency
30-40 3
40-50 6
50-60 25
60-70 65
70-80 50
80-90 28
90-100 14

Draw the frequency polygon representing the above data without drawing the histogram.

Answers (1)

A frequency polygon is a graph constructed by using lines to join the midpoints of each interval.

Here we the midpoints as follows:

Class interval          Mid-point                    Frequency

 30 - 40                        35                                3

40 - 50                         45                                6

50 - 60                         55                                25

60 - 70                         65                                65

70 - 80                         75                                50

80 - 90                         85                                28

90 – 100                      95                                14

Hence we can construct the points using mid-point on x-axis and corresponding frequency on y-axis. So the frequency polygon will be as follows:

 

Posted by

Gurleen Kaur

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