Discussion
If the median of the data 30, 8, 7, 3, 17, 15, 21, 24, 29, 23 is x and the median of the data obtained by replacing 3 by 33 and 8 by 18 in the above data is y, then what is the difference between y and x ?
Answer: C
The difference between y and x is 3.
Arrange the original data in order: 3, 7, 8, 15, 17, 21, 23, 24, 29, 30. With ten values the median is the mean of the 5th and 6th: x = (17 + 21)/2 = 19.
After replacing 3 by 33 and 8 by 18 the data are 7, 15, 17, 18, 21, 23, 24, 29, 30, 33, so y = (21 + 23)/2 = 22.
\[ y - x = 22 - 19 = 3 \]
Forgetting to re-sort the data after the replacement is the usual source of the other answers.
No comment is present. Be the first to comment.
Loading…
Post your comment
Please log in or register to post a comment.
Examination Categories
- SSC Exams
- Banking Exams
- Teaching Exams
- Civil Services Exams
- Railways Exams
- Engineering Recruitment Exams
- Defence Exams
- State Government Exams
- Police Exams
- Insurance Exams
- Nursing Exams
- Other Government Exams
- NRA CET
- PG Entrance Exams
- Campus Placement
- MBA Entrance Exams
- CUET and UG Entrance
- Judiciary Exams
- Regulatory Body Exams
- Software Development