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प्रश्न
Calculate Quartile deviation and Coefficient of Quartile deviation of the following data.
| Marks: | 0 | 10 | 20 | 30 | 40 | 50 | 60 | 70 |
| No. of students: | 150 | 142 | 130 | 120 | 72 | 30 | 12 | 4 |
उत्तर
| Marks (x) |
Frequency (f) |
Cumulative Frequency |
| 0 | 150 | 150 |
| 10 | 142 | 292 |
| 20 | 130 | 422 |
| 30 | 120 | 542 |
| 40 | 72 | 614 |
| 50 | 30 | 644 |
| 60 | 12 | 656 |
| 70 | 4 | 660 |
| N = 660 |
Q1 = Size of `(("N" + 1)/4)^"th"` value
= Size of `((660 + 1)/4)^"th"` value
= Size of (165.25)th value
Q1 = 10
Q3 = Size of `3(("N" + 1)/4)^"th"` value
= Size of 3(165.25)th value
= Size of (495.75)th value
Q3 = 30
Quartile deviation = `1/2 ("Q"_3 - "Q"_1)`
= `1/2 (30 - 10)`
= `20/2`
= 10
Co-efficient of Quartile deviation = `("Q"_3 - "Q"_1)/("Q"_3 + "Q"_1)`
= `(30 - 10)/(30 + 10)`
= `20/40`
= `1/2`
= 0.5
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Calculate the quartile deviation and its coefficient from the following data:
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| No. of Members: | 13 | 61 | 47 | 15 | 10 | 18 | 36 |
Calculate quartile deviation and its relative measure from the following data:
| X | 0 - 10 | 10 - 20 | 20 - 30 | 30 - 40 | 40 - 50 | 50 - 60 |
| f | 5 | 10 | 13 | 18 | 14 | 8 |
Compute mean deviation about median from the following data:
| Height in inches | No. of students |
| 58 | 15 |
| 59 | 20 |
| 60 | 32 |
| 61 | 35 |
| 62 | 35 |
| 63 | 22 |
| 64 | 20 |
| 65 | 10 |
| 66 | 8 |
Compute the mean deviation about mean from the following data:
| Class Interval: | 0 - 5 | 5 - 10 | 10 - 15 | 15 - 20 | 20 - 25 |
| Frequency (f) | 3 | 5 | 12 | 6 | 4 |
Find out the coefficient of mean deviation about median in the following series.
| Age in years | 0 - 10 | 10 - 20 | 20 - 30 | 30 - 40 | 40 - 50 | 50 - 60 | 60 - 70 | 70 - 80 |
| No. of persons | 8 | 12 | 16 | 20 | 37 | 25 | 19 | 13 |
If Q1 = 30 and Q3 = 50, the coefficient of quartile deviation is
If median = 45 and its coefficient is 0.25, then the mean deviation about median is
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| Class interval: | 0 - 10 | 10 - 20 | 20 - 30 | 30 - 40 | 40 - 50 | 50 - 60 |
| Frequency: | 6 | 7 | 15 | 16 | 4 | 2 |
Calculate Mean deviation about Mean of the following data.
| X | 2 | 5 | 6 | 8 | 10 | 12 |
| f | 2 | 8 | 10 | 7 | 8 | 5 |
What is dispersion?
