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Following table shows a frequency distribution for the speed of cars passing through at a particular spot on a highway :
Class interval Frequency
30 - 40 3
40 - 50 6
50 - 60 25
60 - 70 65
70 - 80 50
80 - 90 28
90 - 100 14
Draw a histogram and frequency polygon representing the data above.

Solution:

Given, the table represents the frequency distribution for the speed of cars passing through a particular spot on a highway.

We have to draw a histogram and frequency distribution for the given data.

The given frequency distribution is in the exclusive form.

We can represent the class intervals of speed along the horizontal axis.

The corresponding frequencies are represented along the vertical axis.

Given, the interval start with 30 - 40

This implies that there is a break near the origin.

Using the given data, a histogram is given below,

Following table shows a frequency distribution for the speed of cars passing through at a particular spot on a highway : Class interval Frequency 30 - 40 3 40 - 50 6 50 - 60 25 60 - 70 65 70 - 80 50 80 - 90 28 90 - 100 14. Draw a histogram and frequency polygon representing the data above

Let us mark the midpoints of the top of the rectangles as B, C, D, E, F, G and H respectively.

Consider the classes 20 - 30 and 100 - 110 each with frequency 0.

The class marks of these classes are 25 and 105 at the points A and l are obtained from the graph.

Join all the points using a dotted line.

Therefore, the curve ABCDEFGHI represents the frequency polygon.

✦ Try This: Following table shows a frequency distribution for the speed of cars passing through at a particular spot on a highway:

Class interval Frequency
30 - 40 5
40 - 50 6
50 - 60 27
60 - 70 67
70 - 80 59
80 - 90 34
90 - 100 19

Draw a histogram and frequency polygon representing the data above.

☛ Also Check: NCERT Solutions for Class 9 Maths Chapter 14

NCERT Exemplar Class 9 Maths Exercise 14.4 Problem 7

Following table shows a frequency distribution for the speed of cars passing through at a particular spot on a highway : Class interval Frequency 30 - 40 3 40 - 50 6 50 - 60 25 60 - 70 65 70 - 80 50 80 - 90 28 90 - 100 14. Draw a histogram and frequency polygon representing the data above.

Summary:

The table represents the frequency distribution for the speed of cars passing through a particular spot on a highway. A histogram and frequency polygon representing the data above is shown in the graph

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