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प्रश्न
Out of 10 students, who appeared in a test, three secured less than 30 marks and 3 secured more than 75 marks. The marks secured by the remaining 4 students are 35, 48, 66 and 40. Find the median score of the whole group.
उत्तर
Here, total observations = n = 10 (even)
Thus, we have
Median =`1/2[ "value of"(10/2)^"th""term"+"value of"((10)/(2)+1)^"th""term"]`
=`1/2[ "valueof" 5^"th" "term"+"value of "6^"th" "term"]`
According to the given information, data in ascending order is as follows:
| 1 st Term | 2nd Term | 3rd Term | 4th Term | 5th term | 6th Term | 7th Term | 8th Term | 9th term | 10th term | |
| Marks | Less than 30 | 35 | 40 | 48 | 66 | More than 75 | ||||
∴ Median =`1/2(40 + 48) = 88/2 =44`
Hence, the median score of the whole group is 44.
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संबंधित प्रश्न
Using a graph paper, draw an ogive for the following distribution which shows a record of the width in kilograms of 200 students.
| Weight | Frequency |
| 40 – 45 | 5 |
| 45 – 50 | 17 |
| 50 – 55 | 22 |
| 55 – 60 | 45 |
| 60 – 65 | 51 |
| 65 – 70 | 31 |
| 70 – 75 | 20 |
| 75 – 80 | 9 |
Use your ogive to estimate the following:
- The percentage of student weighting 55 kg or more
- The weight above which the heaviest 30% of the student fall
- The number of students who are
- underweight
- overweight, If 55.70 kg is considered as standard weight.
The daily wages of 80 workers in a building project are given below :
| Wages (Rs) | No.of workers |
| 30-40 | 6 |
| 40-50 | 10 |
| 50-60 | 15 |
| 60-70 | 19 |
| 70-80 | 12 |
| 80-90 | 8 |
| 90-100 | 6 |
| 100-110 | 4 |
Using graph paper, draw an ogive for the above distribution. Use your ogive, to estimate :
(1) the mediam wages of workers
(2) the percentage of workers who earn more than Rs 75 a day.
(3) the upper quartile wages of the workers
(4) the lower quartile wages of the workers
(5) Inter quartile range
A mathematics aptitude test of 50 students was recored as follows:
| Marks | No. of students |
| 50-60 | 4 |
| 60-70 | 8 |
| 70-80 | 14 |
| 80-90 | 19 |
| 90-100 | 5 |
Draw a histrogram for the above data using a graph paper and locate the mode.
The mean monthly income of 10 persons is Rs 8,670. If a new member with a monthly income of Rs 9, 000 joins the group, find the new monthly income.
Find the mode of the following:
3, 4, 5, 7, 6, 3, 5, 4, 3, 5, 6, 4, 7, 5, 4, 5, 4, 3, 4, 5, 7, 6, 5, 6, 6, 7
Find the mode of the following frequency distribution:
| Pocket money per week in Rs | 25 | 50 | 75 | 100 | 125 | 150 |
| No. of students | 4 | 7 | 13 | 18 | 6 | 2 |
The mean of marks scored by 100 students was found to be 40, later on, it was discovered that a score of 53 was misread as 83. Find the correct mean.
Find the median of 17, 23, 36, 12, 18, 23, 40 and 20
The marks in a subject for 12 students are as follows:
31, 37, 35, 38, 42, 23, 17, 18, 35, 25, 35, 29
For the given data, find the median
Given below are heights of 15 boys of a class measured in cm:
128, 144, 146, 143, 136, 142, 138, 129, 140, 152, 144, 140, 150, 142, 154
Find the median height of the boys.
