Advertisements
Advertisements
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.
APPEARS IN
संबंधित प्रश्न
Using a graph paper draw a histogram of the given distribution showing the number of runs scored by 50 batsmen. Estimate the mode of the data:
| Runs scored |
3000- 4000 |
4000- 5000 |
5000- 6000 |
6000- 7000 |
7000- 8000 |
8000- 9000 |
9000- 10000 |
| No. of batsmen |
4 | 18 | 9 | 6 | 7 | 2 | 4 |
The following table gives the age of 50 student of a class. Find the arithmetic mean of their ages.
| Age-years | 16 – 18 | 18 – 20 | 20 – 22 | 22 – 24 | 24 – 26 |
| No. of students | 2 | 7 | 21 | 17 | 3 |
If the mean of the following observations is 54, find the value of p.
| Class | 0 – 20 | 20 – 40 | 40 – 60 | 60 – 80 | 80 – 100 |
| Frequency | 7 | p | 10 | 9 | 13 |
Find the mean of the following frequency distribution :
| Class | 101-110 | 111-120 | 121-130 | 131-140 | 141-150 | 151-160 |
| Frequency | 11 | 16 | 20 | 30 | 14 | 9 |
The marks obtained by 200 students in an examination are given below :
| Marks | 0-10 | 10-20 | 20-30 | 30-40 | 40-50 | 50-60 | 60-70 | 70-80 | 80-90 | 90-100 |
| No.of students | 5 | 10 | 11 | 20 | 27 | 38 | 40 | 29 | 14 | 6 |
Using a graph paper, draw an Ogive for the above distribution. Use your Ogive to estimate:
(i) the median;
(ii) the lower quartile;
(iii) the number of students who obtained more than 80% marks in the examination and
(iv) the number of students who did not pass, if the pass percentage was 35.
Use the scale as 2 cm = 10 marks on one axis and 2 cm = 20 students on the other axis.
If the mean of 6, 4, 7, p and 10 is 8, find the value of p.
Find the median of 26, 33, 41, 18, 30, 22, 36, 45 and 24
Find the median of the given values : 47, 53, 62, 71, 83, 21, 43, 47, 41
Find the median of the given data:
14, −3, 0, −2, −8, 13, −1, 7
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
