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| source: ncert_exercises |
| topic: statistics |
| class_level: class_9 |
| chapter: ch12 |
| exercise: ex12.2 |
| difficulty: beginner |
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| Class 9 | Ch12: Statistics | Exercise 12.2 |
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| Key: Frequency distribution table, histograms, frequency polygons. |
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| Q1. A family with monthly income of ₹20000 spends on items as given. Draw a bar graph. |
| Answer: Bar graph with expenses on x-axis and amounts on y-axis. Compare spending across categories. ✅ |
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| Q2. The distribution below gives weights of 30 students of a class. Draw a histogram. |
| Weight(kg):40-45, 45-50, 50-55, 55-60, 60-65. No of students: 2, 3, 8, 6, 6, 3, 2. |
| Answer: Histogram: x-axis=weight intervals (continuous), y-axis=frequency. No gaps between bars (unlike bar graph). ✅ |
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| Q3. The following table gives production yield per hectare of wheat of 100 farms. Draw histogram. |
| Production yield (kg/ha): 50-55, 55-60, 60-65, 65-70, 70-75, 75-80. |
| Frequency: 2, 8, 12, 24, 38, 16. |
| Answer: Draw histogram. Bars are adjacent (continuous data). Heights = frequencies. ✅ |
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| Q4. Draw a histogram for the frequency distribution from Q3. Then draw frequency polygon. |
| Answer: Frequency polygon: join midpoints of tops of histogram bars with straight lines. Extend to x-axis at both ends. ✅ |
