Advertisements
Advertisements
प्रश्न
The following data have been arranged in ascending order. If their median is 63, find the value of x.
34, 37, 53, 55, x, x + 2, 77, 83, 89 and 100.
उत्तर
Given numbers are 34, 37, 53, 55, x, x+2, 77, 83, 89, 100
Here n = 10(even)
Median = `1/2 [ " value of " ( n/2)^"th" "term" + "value of " (n/2+ 1)^"th" " term" ]`
= `1/2 [ " value of " ( 10/2)^"th" "term" + "value of " (10/2+ 1)^"th" " term" ]`
= `1/2` [ value of ( 5 )th term + value of ( 5 + 1)th term ]
= `1/2` [ value of ( 5 )th term + value of (6)th term ]
63 = `1/2` [ x + x + 2 ]
⇒ `[2 + 2x]/(2)` = 63
⇒ x + 1 = 63
⇒ x = 62
APPEARS IN
संबंधित प्रश्न
The following are the marks obtained by 70 boys in a class test:
| Marks | No. of boys |
| 30 – 40 | 10 |
| 40 – 50 | 12 |
| 50 – 60 | 14 |
| 60 – 70 | 12 |
| 70 – 80 | 9 |
| 80 – 90 | 7 |
| 90 – 100 | 6 |
Calculate the mean by:
Step-deviation method
Find the mean, median and mode of the following marks obtained by 16 students in a class test marked out of 10 marks:
0, 0, 2, 2, 3, 3, 3, 4, 5, 5, 5, 5, 6, 6, 7 and 8.
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
The percentage marks obtained in 10 subjects by a student are 84, 88, 72, 91, 68, 75, 98, 96, 79 and 86. Find the median of the marks obtained.
Find the median of the following:
25, 34, 31, 23, 22, 26, 35, 29, 20, 32
The following observations have been arranged in ascending order. If the median of these observations is 58, find the value of x.
24, 27, 43, 48, x - 1, x + 3, 68, 73, 80, 90
Find the median of the following sets of numbers.
25, 11, 15, 10, 17, 6, 5, 12.
Find the median of 25, 16, 15, 10, 8, 30
Median of the data may or may not be from the given data.
Find the median of the given data if the mean is 4.5.
5, 7, 7, 8, x, 5, 4, 3, 1, 2
