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Draw Histogram and Frequency Polygon on the Same Graph Paper for the Following Frequency Distribution - Algebra

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Question

Draw histogram and frequency polygon on the same graph paper for the following frequency distribution

Class Frequency
15-20 20
20-25 30
25-30 50
30-35 40
35-40 25
40-45 10

 

Solution

Class 15 20 20 25 25 30 30 35 35 40 40 45
Frequency 20 30 50 40 25 10
Classmark 17.5 22.5 27.5 32.5 37.5 42.5

Scale - on x axis : 1 cm = 5 units and y axis : 1 cm = 5 units

Histogram : -

 

Frequency Polygon curve : -

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2017-2018 (March) Set A

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For which of these would you use a histogram to show the data?

(a) The number of letters for different areas in a postman’s bag.

(b) The height of competitors in an athletics meet.

(c) The number of cassettes produced by 5 companies.

(d) The number of passengers boarding trains from 7:00 a.m. to 7:00 p.m. at a station.

Give reasons for each.


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50 - 70 70 - 90 90 - 110 110 - 130 130 - 150 150 - 170
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Draw the histogram for the following frequency distribution and hence estimate the mode for the distribution.

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20 - 25 8
25 - 30 5
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