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Express the following recurring decimal as a rational number.
`3 · dot5`
Concept: undefined >> undefined
Find the area of triangle whose vertices are A(-1, 2), B(2, 4), C(0, 0)
Concept: undefined >> undefined
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Express the following recurring decimal as a rational number.
`3.dot5`
Concept: undefined >> undefined
Find the area of triangle whose vertices are A(-1, 2), B(2, 4), C(0, 0).
Concept: undefined >> undefined
Express the following recurring decimal as a rational number.
`3.4bar56`
Concept: undefined >> undefined
Express the following recurring decimal as a rational number.
`3.4bar56`
Concept: undefined >> undefined
Express the following recurring decimal as a rational number.
`3.dot5`
Concept: undefined >> undefined
Find the area of triangle whose vertices are A(−1, 2), B(2, 4), C(0, 0)
Concept: undefined >> undefined
Express the following recurring decimal as a rational number.
`3.dot5`
Concept: undefined >> undefined
Find the area of triangle whose vertices are A (-1, 2), B (2, 4), C (0, 0).
Concept: undefined >> undefined
Express the following recurring decimal as a rational number.
`3.dot5`
Concept: undefined >> undefined
Find the area of triangles whose vertices are A(−1, 2), B(2, 4), C(0, 0).
Concept: undefined >> undefined
Express the following recurring decimal as a rational number.
`3.4bar(56)`
Concept: undefined >> undefined
The following table gives frequency distribution of marks of 100 students in an examination.
| Marks | 15 –20 | 20 – 25 | 25 – 30 | 30 –35 | 35 – 40 | 40 – 45 | 45 – 50 |
| No. of students | 9 | 12 | 23 | 31 | 10 | 8 | 7 |
Determine D6, Q1, and P85 graphically.
Concept: undefined >> undefined
The following table gives the distribution of daily wages of 500 families in a certain city.
| Daily wages | No. of families |
| Below 100 | 50 |
| 100 – 200 | 150 |
| 200 – 300 | 180 |
| 300 – 400 | 50 |
| 400 – 500 | 40 |
| 500 – 600 | 20 |
| 600 above | 10 |
Draw a ‘less than’ ogive for the above data. Determine the median income and obtain the limits of income of central 50% of the families.
Concept: undefined >> undefined
The following frequency distribution shows the profit (in ₹) of shops in a particular area of city:
| Profit per shop (in ‘000) | No. of shops |
| 0 – 10 | 12 |
| 10 – 20 | 18 |
| 20 – 30 | 27 |
| 30 – 40 | 20 |
| 40 – 50 | 17 |
| 50 – 60 | 6 |
Find graphically The limits of middle 40% shops.
Concept: undefined >> undefined
The following frequency distribution shows the profit (in ₹) of shops in a particular area of city:
| Profit per shop (in ‘000) | No. of shops |
| 0 – 10 | 12 |
| 10 – 20 | 18 |
| 20 – 30 | 27 |
| 30 – 40 | 20 |
| 40 – 50 | 17 |
| 50 – 60 | 6 |
Find graphically the number of shops having profile less than 35,000 rupees.
Concept: undefined >> undefined
The following is the frequency distribution of overtime (per week) performed by various workers from a certain company.
Determine the values of D2, Q2, and P61 graphically.
| Overtime (in hours) |
Below 8 | 8 – 12 | 12 – 16 | 16 – 20 | 20 – 24 | 24 and above |
| No. of workers | 4 | 8 | 16 | 18 | 20 | 14 |
Concept: undefined >> undefined
Draw ogive for the following data and hence find the values of D1, Q1, P40.
| Marks less than | 10 | 20 | 30 | 40 | 50 | 60 | 70 | 80 | 90 |
| No. of students | 4 | 6 | 24 | 46 | 67 | 86 | 96 | 99 | 100 |
Concept: undefined >> undefined
The following table shows the age distribution of head of the families in a certain country. Determine the third, fifth and eighth decile of the distribution graphically.
| Age of head of family (in years) |
Numbers (million) |
| Under 35 | 46 |
| 35 – 45 | 85 |
| 45 – 55 | 64 |
| 55 – 65 | 75 |
| 65 – 75 | 90 |
| 75 and Above | 40 |
Concept: undefined >> undefined
