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प्रश्न
Use the table given below to find:
(a) The actual class limits of the fourth class.
(b) The class boundaries of the sixth class.
(c) The class mark of the third class.
(d) The upper and lower limits of the fifth class.
(e) The size of the third class.
| Class Interval | Frequency |
| 30 - 34 | 7 |
| 35 - 39 | 10 |
| 40 - 44 | 12 |
| 45 - 49 | 13 |
| 50 - 54 | 8 |
| 55 - 59 | 4 |
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उत्तर
(a) The actual class limit of the fourth class will be 44.5 - 49.5.
(b) The class boundaries of the sixth class will be 54.5 - 59.5
(c) The class mark of the third class will be the average of the lower bound and the upper bound of the interval. Therefore the class mark will be: `( 40 + 44)/( 2)` = 42
(d) The upper and lower limit of the fifth class is 54 and 50 respectively.
(e) The size of the third class will be 44 - 40 + 1 = 5.
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संबंधित प्रश्न
The following data shows the number of students using different modes of transport:
| Modes of Transport | Number of Students |
| Bicycle | 140 |
| Bus | 100 |
| Walk | 70 |
| Train | 40 |
| Car | 10 |
From this table, find the central angle (θ) for the Mode of Transport ‘Bus’.
In the following table, the toll (in ₹) paid by drivers and the number of vehicles is shown. Find the mean of the toll by 'assumed mean' method.
| Toll (Rupees) | 300 - 400 | 400 - 500 | 500 - 600 | 600 - 700 | 700 - 800 |
| No. of vehicles | 80 | 110 | 120 | 70 | 40 |
A frequency distribution table for the production of oranges of some farm owners is given below. Find the mean production of oranges by ‘assumed mean’ method.
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Production (Thousand rupees)
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25-30 | 30-35 | 35-40 | 40-45 | 45-50 |
| No. of Customers | 20 | 25 | 15 | 10 | 10 |
A frequency distribution of funds collected by 120 workers in a company for the drought affected people are given in the following table. Find the mean of the funds by ‘step deviation’ method.
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Fund (Rupees)
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0-500 | 500-1000 | 1000-1500 | 1500-2000 | 2000-2500 |
| No. of workers | 35 | 28 | 32 | 15 | 10 |
The following table shows classification of number of workers and the number of hours they work in a software company. Find the median of the number of hours they work.
| Daily No. of hours | 8 - 10 | 10 - 12 | 12 - 14 | 14 - 16 |
| Number of workers | 150 | 500 | 300 | 50 |
The frequency distribution table shows the number of mango trees in a grove and their yield of mangoes. Find the median of data.
| No. of Mangoes | 50 - 100 | 100 - 150 | 150 - 200 | 200 - 250 | 250 - 300 |
| No. of trees | 33 | 30 | 90 | 80 | 17 |
The following table shows the classification of number of vehicles and their speeds on Mumbai-Pune express way. Find the median of the data.
|
Average Speed of
Vehicles (Km/hr) |
60 - 64 | 64 - 69 | 70 - 74 | 75 - 79 | 79 - 84 | 84 - 89 |
| No. of vehicles | 10 | 34 | 55 | 85 | 10 | 6 |
Electricity used by some families is shown in the following table. Find the mode for use of electricity.
| Use of electricity (Unit) | 0 - 20 | 20 - 40 | 40 - 60 | 60 - 80 | 80 - 100 | 100 - 120 |
| No. of families | 13 | 50 | 70 | 100 | 80 | 17 |
The following frequency distribution table shows the distances travelled by some rickshaws in a day. Observe the table and answer the following questions
| Class (Daily distance travelled in km) |
Continuous Classes |
Frequency (no.of. rickshaws) |
Cumulative frequency less than type |
| 60 – 64 | 59.5 – 64.5 | 10 | 10 |
| 65 – 69 | 64.5 – 69.5 | 34 | 10 + 34 = 44 |
| 70 – 74 | 69.5 – 74.5 | 58 | 44 + 58 = 102 |
| 75 – 79 | 74.5 – 79.5 | 82 | 102 + 82 = 184 |
| 80 – 84 | 79.5 – 84.5 | 10 | 184 + 10 = 194 |
| 85 – 89 | 84.5 – 89.5 | 6 | 194 + 6 = 200 |
- Which is the modal class? Why?
- Which is the median class and why?
- Write the cumulative frequency (C.F) of the class preceding the median class.
- What is the class interval (h) to calculate median?
Find the class mark of class 10 - 20.
