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प्रश्न
The following are the marks scored by the students in the Summative Assessment exam
| Class | 0 − 10 | 10 − 20 | 20 − 30 | 30 − 40 | 40 − 50 | 50 − 60 |
| No. of Students | 2 | 7 | 15 | 10 | 11 | 5 |
Calculate the median.
उत्तर
| Class Interval | No. of students frequency |
Cumulative frequency |
| 0 − 10 | 2 | 2 |
| 10 − 20 | 7 | 9 |
| 20 − 30 | 15 | 24 |
| 30 − 40 | 10 | 34 |
| 40 − 50 | 11 | 45 |
| 50 − 60 | 5 | 50 |
| N = 50 |
`"N"/2 = 50/2`
= 25
Here l = 30, f = 10, m = 24 and c = 10
Median = `"l" + (("N"/2 - "m") xx "c")/f`
= `30 + ((25 - 24)10)/10`
= 30 + 1
= 31
∴ Median = 31
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संबंधित प्रश्न
For a certain frequency distribution, the value of Mean is 101 and Median is 100. Find the value of Mode.
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| I.Q.: | 55 - 64 | 65 - 74 | 75 - 84 | 85 - 94 | 95 - 104 | 105 - 114 | 115 - 124 | 125 - 134 | 135 - 144 |
| No of Students: | 1 | 2 | 9 | 22 | 33 | 22 | 8 | 2 | 1 |
Compute mean from the following data:
| Marks | 0 – 7 | 7 – 14 | 14 – 21 | 21 – 28 | 28 – 35 | 35 – 42 | 42 – 49 |
| Number of Students | 3 | 4 | 7 | 11 | 0 | 16 | 9 |
The following table shows the daily wages of workers in a factory:
| Daily wages in (Rs) | 0 – 100 | 100 – 200 | 200 – 300 | 300 – 400 | 400 – 500 |
| Number of workers | 40 | 32 | 48 | 22 | 8 |
Find the median daily wage income of the workers.
Calculate the median for the following data:
| Class | 19 – 25 | 26 – 32 | 33 – 39 | 40 – 46 | 47 – 53 | 54 - 60 |
| Frequency | 35 | 96 | 68 | 102 | 35 | 4 |
Find the median from the following data:
| Class | 1 – 5 | 6 – 10 | 11 – 15 | 16 – 20 | 21 – 25 | 26 – 30 | 31 – 35 | 35 – 40 | 40 – 45 |
| Frequency | 7 | 10 | 16 | 32 | 24 | 16 | 11 | 5 | 2 |
In the following table, Σf = 200 and mean = 73. Find the missing frequencies f1, and f2.
| x | 0 | 50 | 100 | 150 | 200 | 250 |
| f | 46 | f1 | f2 | 25 | 10 | 5 |
Following is the distribution of the long jump competition in which 250 students participated. Find the median distance jumped by the students. Interpret the median
| Distance (in m) |
0 – 1 | 1 – 2 | 2 – 3 | 3 – 4 | 4 – 5 |
| Number of Students |
40 | 80 | 62 | 38 | 30 |
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| Class: | 0 – 10 | 10 – 20 | 20 – 30 | 30 – 40 | 40 – 50 |
| Frequency: | 6 | 3 | x | 12 | 19 |
