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Question
Form a continuous frequency distribution table and draw histogram from the following data.
| Age (in years) | No. of persons |
| Under 5 | 1 |
| Under 10 | 12 |
| Under 15 | 19 |
| Under 20 | 26 |
| Under 25 | 27 |
| Under 30 | 35 |
| Under 35 | 38 |
| Under 40 | 45 |
| Under 45 | 48 |
| Under 50 | 53 |
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Solution
Converting into continuous distribution we have
| Class interval | No. of persons |
| 0 – 5 | 1 |
| 5 – 10 | 11 |
| 10 – 15 | 7 |
| 15 – 20 | 7 |
| 20 – 25 | 1 |
| 25 – 30 | 8 |
| 30 – 35 | 3 |
| 35 – 40 | 7 |
| 40 – 45 | 3 |
| 45 – 50 | 5 |
| Total | 53 |
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RELATED QUESTIONS
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.
Draw a histogram for the frequency table made for the data in Question 3 and answer the following questions.
(1) Which group has the maximum number of workers?
(2) How many workers earn Rs 850 and more?
(3) How many workers earn less than Rs 850?
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| Frequency | 15 | 23 | 30 | 20 | 16 |
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| No. of students | 4 | 12 | 16 | 8 |
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Construct a frequency polygon without using a histogram for the following frequency distribution :
| Class Mark | 10 | 15 | 20 | 25 | 30 | 35 | 40 |
| Frequency | 4 | 20 | 40 | 45 | 30 | 25 | 5 |
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| Class Interval | 0 − 10 | 10 − 20 | 20 − 30 | 30 − 40 | 40 − 50 | 50 − 60 |
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In a histogram, class intervals and frequencies are taken along ______ axis and ______ axis.
The following pictorial representation of data is a histogram.
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| 200 – 400 | 240 |
| 400 – 600 | 300 |
| 600 – 800 | 450 |
| 800 – 1000 | 350 |
| 1000 – 1200 | 160 |
