The data 30, 33, 49, 51, x, x + 4, 73, 79, 85, 96 is arranged in the ascending order and median of the class is 64. Find the value of x.
Given
Data set: 30, 33, 49, 51, x, x + 4, 73, 79, 85, 96
Total number of terms (n) = 10
Formula Used
For an even number of observations, Median = Average of the th and th terms.
Solution
Since n = 10 (even), the median is the average of the 5th and 6th terms.
5th term = x
6th term = x + 4
Median =
Final Answer
So the correct answer is (a)
English
100 Questions
100 Marks
90 Mins English English100 Questions100 Marks90 Mins English English100 Questions100 Marks90 Mins EnglishThe median of the following observations 46, 64, 87, 41, 58, 77, 35, 90, 55, 92, 33 is 58. If 92 is replaced by 99 and 41 by 43 in the given data, then the new median is:
The median of the following observations 46, 64, 87, 41, 58, 77, 35, 90, 55, 92, 33 is 58. If 92 is replaced by 99 and 41 by 43 in the given data, then the new median is:
The data 30, 33, 49, 51, x, x + 4, 73, 79, 85, 96 is arranged in the ascending order and median of the class is 64. Find the value of x.
The median of the following data is 350.
Class Interval | Frequency |
0-100 | 4 |
100-200 | 6 |
200-300 | x |
300-400 | 10 |
400-500 | y |
500-600 | 8 |
What are the values of x and y if the total frequency is 40?
If x and y are upper limit of median class and lower limit of modal class, respectively in the following distribution, then what is the value of (2x + y)?
The following is the distribution of ages (in years) of children in a group:
What is the median age (in years) of children ?
The median of the observations 6, 48, 32, 3, 37 and 18 is:
In the following frequency distribution
| Height (in cm) | 140–145 | 145–150 | 150–155 | 155–160 | 160–165 | 165–170 |
| No. of students | 13 | 15 | 9 | 10 | 8 | 5 |
The sum of the upper limit of the modal class and the lower limit of the median class:
The median of a set of 9 distinct observations is 20.5. If each of the largest four observations of the set is increased by 2, then the median of the new set:
What is the median of the following data?
76, 35, 42, 49, 95, 21, 68, 41, 20, 27, 17
Suggested Test Series
Suggested Test Series
The median of the following observations 46, 64, 87, 41, 58, 77, 35, 90, 55, 92, 33 is 58. If 92 is replaced by 99 and 41 by 43 in the given data, then the new median is:
The median of the following observations 46, 64, 87, 41, 58, 77, 35, 90, 55, 92, 33 is 58. If 92 is replaced by 99 and 41 by 43 in the given data, then the new median is:
The data 30, 33, 49, 51, x, x + 4, 73, 79, 85, 96 is arranged in the ascending order and median of the class is 64. Find the value of x.
The median of the following data is 350.
Class Interval | Frequency |
0-100 | 4 |
100-200 | 6 |
200-300 | x |
300-400 | 10 |
400-500 | y |
500-600 | 8 |
What are the values of x and y if the total frequency is 40?
If x and y are upper limit of median class and lower limit of modal class, respectively in the following distribution, then what is the value of (2x + y)?
The following is the distribution of ages (in years) of children in a group:
What is the median age (in years) of children ?
The median of the observations 6, 48, 32, 3, 37 and 18 is:
In the following frequency distribution
| Height (in cm) | 140–145 | 145–150 | 150–155 | 155–160 | 160–165 | 165–170 |
| No. of students | 13 | 15 | 9 | 10 | 8 | 5 |
The sum of the upper limit of the modal class and the lower limit of the median class:
The median of a set of 9 distinct observations is 20.5. If each of the largest four observations of the set is increased by 2, then the median of the new set:
What is the median of the following data?
76, 35, 42, 49, 95, 21, 68, 41, 20, 27, 17
