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प्रश्न
Find the lower quartile, the upper quartile, the interquartile range and the semi-interquartile range for the following frequency distributions:
| Marks | 25 | 30 | 35 | 40 | 45 | 50 |
| No. of students | 6 | 15 | 12 | 10 | 18 | 9 |
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उत्तर
| Marks | No. of students (f) | Cumulative frequency |
| 25 | 6 | 6 |
| 30 | 15 | 21 |
| 35 | 12 | 33 |
| 40 | 10 | 43 |
| 45 | 18 | 61 |
| 50 | 9 | 70 |
No. of terms = 70
Lower Quartile (Q1) = `n/4 = 70/4` = 17.5th term = 30
Upper Quartile (Q3) = `(n xx 3)/4 = (70 xx 3)/4` = 52.5th term = 45
Interquartile range = Q3 - Q1 = 45-30 = 15
Semi-Interquartile range = `(Q_3 - Q_1)/2 = (45-30)/2 = 7.5`
Hence, Lower quartile = 30, upper quartile = 45, interquartile range = 15, semi -interquartile range = 7.5
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संबंधित प्रश्न
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| Speed (in km/hr) | No. of Students |
| 20-30 | 6 |
| 30-40 | 80 |
| 40-50 | 156 |
| 50-60 | 98 |
60-70 |
60 |
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| No. of students | 7 | 33 | 45 | 65 | 47 | 18 | 5 |
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(i) Write the age group in which the number of literate female is the highest.
(ii) What is the class width?
(iii) What is the lowest frequency?
(iv) What are the class marks of the classes?
(v) In which age group literate females are the least?
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| 20-25 | 2 |
| 25-30 | 5 |
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| Pocket expenses (in ₹) |
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| 0 - 5 | 10 |
| 5 - 10 | 14 |
| 10 - 15 | 28 |
| 15 - 20 | 42 |
| 20 - 25 | 50 |
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| 30 - 35 | 14 |
| 35 - 40 | 12 |
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