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प्रश्न
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?
- Which class interval has the least number of students?
- What is the class size?
- How many students have height less than 140 cm?
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उत्तर
a. Number of students who have height more than or equal to 135 cm, but less than 150 cm = 14 + 18 + 10 = 42
b. The class interval 150 – 155 has the least number of students, i.e. 4.
c. We know, class size = Upper class limit – Lower class limit
Consider any class, say (125 – 130),
Then class size = 130 – 125 = 5
Hence, the class size is 5.
d. Number of students who have height less than 140 cm = 6 + 8 + 14 = 28
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संबंधित प्रश्न
Draw a histogram for the frequency table made for the data in Question 3 and answer the following questions.
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| Time (minutes) | 60 - 80 | 80 - 100 | 100 - 120 | 120 - 140 | 140 - 160 |
| No. of students | 14 | 20 | 24 | 22 | 16 |
Observe the following frequency polygon and write the answers of the questions below it.
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- What is the class-mark of the class, having frequency of 50 students?
- Write the lower and upper class limits of the class whose class mark is 85.
- How many students are in the class 80-90?
The following table is based on the marks of the first term examination of 10th class students. Show the information by a histogram. Also, draw a frequency polygon with the help of the histogram.
| Class-mark of marks | 325 | 375 | 425 | 475 | 525 | 575 |
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| Class interval: | 10−15 | 15−20 | 20−25 | 25−30 | 30−35 | 34−40 |
| Frequency: | 30 | 98 | 80 | 58 | 29 | 50 |
Number of workshops organized by a school in different areas during the last five years are as follows:
| Years | No. of workshops |
| 1995−1996 | 25 |
| 1996−1997 | 30 |
| 1997−1998 | 42 |
| 1998−1999 | 50 |
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| 5600−5700 | 8 |
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| 5800−5900 | 3 |
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| 6100−6200 | 3 |
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| 6300−6400 | 2 |
Construct histograms for following frequency distribution:
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Construct histograms for following frequency distribution:
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| Frequency | 11 | 23 | 30 | 20 | 16 |
Construct histograms for following frequency distribution:
| Class Interval | 130-140 | 140-150 | 150-160 | 160-170 | 170-180 |
| Frequency | 24 | 16 | 29 | 20 | 11 |
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Draw a histogram for the following data.
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Try yourself
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| Overs | Runs scored |
| 20 – 30 | 37 |
| 30 – 40 | 45 |
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| 70 – 80 | 35 |
Use graph sheet for this question.
Take 2 cm = 10 overs along one axis and 2 cm = 10 runs along the other axis.
- Draw a histogram representing the above distribution.
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