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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:
| Shoe size | 5 | 6 | 7 | 8 | 9 | 10 | 11 |
| Frequency | 8 | 1 | 7 | 14 | 11 | 5 | 4 |
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उत्तर
| Shoe size | Frequency (f) | Cumulative frequency |
| 5 | 8 | 8 |
| 6 | 1 | 9 |
| 7 | 7 | 16 |
| 8 | 14 | 30 |
| 9 | 11 | 41 |
| 10 | 5 | 46 |
| 11 | 4 | 50 |
No. of terms = 50
Lower Quartile (Q1) = `n/4 = 50/4` = 12.5th term = 7
Upper Quartile (Q3) = `(n xx 3)/4 = (50 xx 3)/4` = 37.5th term = 9
Interquartile range = Q3 - Q1 = 9-7 = 2
Semi-interquartile range = `(Q_3 - Q_1)/2 = (9-7)/2 = 1`
Hence, Lower quartile = 7, upper quartile = 9, interquartile range = 2, semi-interquartile range = 1
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संबंधित प्रश्न
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| 20 — 25 | 2 |
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| 35 — 40 | 12 |
| 40 — 45 | 10 |
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Represent the following data by Histogram:
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| 18-20 | 4 |
| 20-22 | 8 |
| 22-24 | 22 |
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| 26-28 | 8 |
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| 5600−5700 | 8 |
| 5700−5800 | 4 |
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| 6200−6300 | 1 |
| 6300−6400 | 2 |
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Use of electricity (Unit)
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50 - 70 | 70 - 90 | 90 - 110 | 110 - 130 | 130 - 150 | 150 - 170 |
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| 145 - 155 | 3 |
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| 150 - 200 | 10 |
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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 |
| 36 | 35 | 48 | 48 | 55 | 62 | 74 | 43 | 41 | 51 |
| 08 | 71 | 30 | 18 | 43 | 28 | 20 | 40 | 58 | 49 |
