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प्रश्न
The abscissa of the point of intersection of less than type and of the more than types cumulative frequency curves of a grouped data gives its ______.
पर्याय
Mean
Median
Mode
All of the above
उत्तर
The abscissa of the point of intersection of less than type and of the more than types cumulative frequency curves of a grouped data gives its median.
Explanation:-
The less than ogive and more than ogive when drawn on the same graph intersect at a point. From this point, if we draw a perpendicular on the x-axis, the point at which it cuts the x-axis gives us the median.
Thus, the abscissa of the point of intersection of less than type and of the more than type cumulative curves of a grouped data gives its median.
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संबंधित प्रश्न
The distribution below gives the weights of 30 students of a class. Find the median weight of the students.
| Weight (in kg) | 40−45 | 45−50 | 50−55 | 55−60 | 60−65 | 65−70 | 70−75 |
| Number of students | 2 | 3 | 8 | 6 | 6 | 3 | 2 |
The following is the distribution of the size of certain farms from a taluka (tehasil):
| Size of Farms (in acres) |
Number of Farms |
| 5 – 15 | 7 |
| 15 – 25 | 12 |
| 25 – 35 | 17 |
| 35 – 45 | 25 |
| 45 – 55 | 31 |
| 55 – 65 | 5 |
| 65 – 75 | 3 |
Find median size of farms.
Following are the lives in hours of 15 pieces of the components of aircraft engine. Find the median:
715, 724, 725, 710, 729, 745, 694, 699, 696, 712, 734, 728, 716, 705, 719.
Find the missing frequencies and the median for the following distribution if the mean is 1.46.
| No. of accidents: | 0 | 1 | 2 | 3 | 4 | 5 | Total |
| Frequency (No. of days): | 46 | ? | ? | 25 | 10 | 5 | 200 |
The following table gives the frequency distribution of married women by age at marriage:
| Age (in years) | Frequency |
| 15-19 | 53 |
| 20-24 | 140 |
| 25-29 | 98 |
| 30-34 | 32 |
| 35-39 | 12 |
| 40-44 | 9 |
| 45-49 | 5 |
| 50-54 | 3 |
| 55-59 | 3 |
| 60 and above | 2 |
Calculate the median and interpret the results.
The median of the following data is 525. Find the missing frequency, if it is given that there are 100 observations in the data:
| Class interval | Frequency |
| 0 - 100 | 2 |
| 100 - 200 | 5 |
| 200 - 300 | f1 |
| 300 - 400 | 12 |
| 400 - 500 | 17 |
| 500 - 600 | 20 |
| 600 - 700 | f2 |
| 700 - 800 | 9 |
| 800 - 900 | 7 |
| 900 - 1000 | 4 |
The ages of 37 students in a class are given in the following table:
| Age (in years) | 11 | 12 | 13 | 14 | 15 | 16 |
| Frequency | 2 | 4 | 6 | 10 | 8 | 7 |
If the difference of Mode and Median of a data is 24, then the difference of median and mean is ______.
The median of an ungrouped data and the median calculated when the same data is grouped are always the same. Do you think that this is a correct statement? Give reason.
Find the median of the following frequency distribution:
| Class: | 0 – 20 | 20 – 40 | 40 – 60 | 60 – 80 | 80 – 100 |
| Frequency: | 6 | 8 | 5 | 9 | 7 |
