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Question
Show the following data by a frequency polygon:
| Electricity bill (₹) | Families |
| 200 – 400 | 240 |
| 400 – 600 | 300 |
| 600 – 800 | 450 |
| 800 – 1000 | 350 |
| 1000 – 1200 | 160 |
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Solution
To draw frequency Polygon, we first prepare the following table
| Class | Mid | Frequency |
| 0 – 200 | 100 | 0 |
| 200 – 400 | 300 | 240 |
| 400 – 600 | 500 | 300 |
| 600 – 800 | 700 | 450 |
| 800 – 1000 | 900 | 350 |
| 1000 – 1200 | 1100 | 160 |
| 1200 – 1400 | 1300 | 0 |
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| Class | Frequency |
| 15-20 | 20 |
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| 25-30 | 50 |
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Draw histogram for the following frequency distributions:
| Class Interval | 10 – 16 | 16 – 22 | 22 – 28 | 28 – 34 | 34 – 40 |
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| No. of students | 7 | 33 | 45 | 65 | 47 | 18 | 5 |
Draw a histogram for the daily earnings of 30 drug stores in the following table:
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|
Use of electricity (Unit)
|
50 - 70 | 70 - 90 | 90 - 110 | 110 - 130 | 130 - 150 | 150 - 170 |
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| 28-30 | 4 |
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The total area of the histogram is _________ to the total frequency of the given data
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| 52 | 33 | 56 | 52 | 44 | 59 | 47 | 61 | 49 | 61 |
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| 32 | 64 | 50 | 54 | 42 | 48 | 22 | 37 | 59 | 63 |
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| Mid Value (x) | 15 | 25 | 35 | 45 | 55 | 65 | 75 |
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Try yourself
- Next time when you watch your favourite TV programme, count the number of advertisements during each break. Use tally marks. Put a dot below the tally when you find children in any advertisement.
- Compare with your friends. Do you get different answers?
Look at the histogram below and answer the questions that follow.
- How many students have height more than or equal to 135 cm but less than 150 cm?
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Use graph paper for this question. Estimate the mode of the given distribution by plotting a histogram. [Take 2 cm = 10 marks along one axis and 2 cm = 5 students along the other axis]
| Daily wages (in ₹) | 30 - 40 | 40 - 50 | 50 - 60 | 60 - 70 | 70 - 80 |
| No. of Workers | 6 | 12 | 20 | 15 | 9 |
