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प्रश्न
Find the modal and median classes of the following distribution.
| Class | 0 – 20 | 20 – 40 | 40 – 60 | 60 – 80 | 80 – 100 |
| Frequency | 11 | 22 | 19 | 18 | 7 |
उत्तर
| Class | Frequency | cf |
| 0 – 20 | 11 | 11 |
| 20 – 40 | 22 | 33 |
| 40 – 60 | 19 | 52 |
| 60 – 80 | 13 | 65 |
| 80 – 100 | 7 | 72 |
| `sumf_i` = 72 |
Here, highest frequency is 22
Hence, modal class is 20 – 40
Also, N = `sumf_i` = 72
Now, `N/2 = 72/2` = 36
36 lies in cumulative frequency 52
So, median class is 40 – 60.
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संबंधित प्रश्न
For a certain frequency distribution, the values of mean and median are 72 and 78 respectively. Find the value of mode.
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| No. of Students |
1 | 3 | 6 | 10 | 5 | 5 |
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| Less than 30 | 10 |
| Less than 50 | 25 |
| Less than 70 | 43 |
| Less than 90 | 65 |
| Less than 110 | 87 |
| Less than 130 | 96 |
| Less than 150 | 100 |
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| Daily wages in (Rs) | 0 – 100 | 100 – 200 | 200 – 300 | 300 – 400 | 400 – 500 |
| Number of workers | 40 | 32 | 48 | 22 | 8 |
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Find the median wages for the following frequency distribution:
| Wages per day (in Rs) | 61 – 70 | 71 – 80 | 81 – 90 | 91 – 100 | 101 – 110 | 111 – 120 |
| No. of women workers | 5 | 15 | 20 | 30 | 20 | 8 |
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| Age (years) | Less than 5 | 5 - 9 | 10 - 14 | 15 - 19 | 20 - 24 | 25 - 29 |
| No. of patients | 38 | 32 | 50 | 36 | 24 | 20 |
Find the median of the following frequency distribution:
| x | 10 | 11 | 12 | 13 | 14 | 15 |
| f | 1 | 4 | 7 | 5 | 9 | 3 |
Will the median class and modal class of grouped data always be different? Justify your answer.
Calculate the median of marks of students for the following distribution:
| Marks | Number of students |
| More than or equal to 0 | 100 |
| More than or equal to 10 | 93 |
| More than or equal to 20 | 88 |
| More than or equal to 30 | 70 |
| More than or equal to 40 | 59 |
| More than or equal to 50 | 42 |
| More than or equal to 60 | 34 |
| More than or equal to 70 | 20 |
| More than or equal to 80 | 11 |
| More than or equal to 90 | 4 |
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