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प्रश्न
Find the median of the following distribution:
| Marks | 0 – 10 | 10 –20 | 20 – 30 | 30 – 40 | 40 – 50 | 50 – 60 |
| Number of students | 5 | 8 | 20 | 15 | 7 | 5 |
उत्तर
| Marks | No. of students (f) |
c.f. |
| 0 – 10 | 5 | 5 |
| 10 – 20 | 8 | 13 |
| 20 – 30 | 20 | 33 |
| 30 – 40 | 15 | 48 |
| 40 – 50 | 7 | 55 |
| 50 – 60 | 5 | 60 |
| `sum"f"` = 60 |
Here, N = `sum"f"` = 60
∴ `"N"/2 = 60/2` = 30
So, the median class is 20 – 30
Lower limit of median class, l = 20
Class size, h = 10
Cumulative frequency of preceding class, c.f. = 13
Frequency of median class, f = 20
∴ Median = `"l" + (("N" / 2 - "c.f."))/"f" xx "h"`
= `20 + ((60 /2 - 13)/20) xx 10`
= `20 + 17/2`
= 20 + 8.5
= 28.5
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संबंधित प्रश्न
Compute the median for the following data:
| Marks | No. of students |
| Less than 10 | 0 |
| 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 |
Compute the median for the following data:
| Marks | No. of students |
| More than 150 | 0 |
| More than 140 | 12 |
| More than 130 | 27 |
| More than 120 | 60 |
| More than 110 | 105 |
| More than 100 | 124 |
| More than 90 | 141 |
| More than 80 | 150 |
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3, 5, 7, 3, 8, 0, 1, 4 and 6.
Find the median of these marks.
Given below is the number of units of electricity consumed in a week in a certain locality:
| Class | 65 – 85 | 85 – 105 | 105 – 125 | 125 – 145 | 145 – 165 | 165 – 185 | 185 – 200 |
| Frequency | 4 | 5 | 13 | 20 | 14 | 7 | 4 |
Calculate the median.
The arithmetic mean and mode of a data are 24 and 12 respectively, then its median is
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| Weekly income (in Rs) |
Number of families |
| 0 – 1000 | 250 |
| 1000 – 2000 | 190 |
| 2000 – 3000 | 100 |
| 3000 – 4000 | 40 |
| 4000 – 5000 | 15 |
| 5000 – 6000 | 5 |
| Total | 600 |
Compute the median income.
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 |
If in a frequency distribution, the mean and median are 21 and 22 respectively, then its mode is approximately ______.
The median of 100 observations grouped in classes of equal width is 25. If the median class interval is 20 –30 and the number of observations less than 20 is 45, then the frequency of median class is ______.
The monthly expenditure on milk in 200 families of a Housing Society is given below:
| Monthly Expenditure (in ₹) |
1000 – 1500 | 1500 – 2000 | 2000 – 2500 | 2500 – 3000 | 3000 – 3500 | 3500 – 4000 | 4000 – 4500 | 4500 – 5000 |
| Number of families | 24 | 40 | 33 | x | 30 | 22 | 16 | 7 |
Find the value of x and also, find the median and mean expenditure on milk.
