wiz-icon
MyQuestionIcon
MyQuestionIcon
4
You visited us 4 times! Enjoying our articles? Unlock Full Access!
Question

The median of a set of 9 distinct observations is 20.5. If each of the largest 4 observations of the set is increased by 2, then the median of the new set _________.
(Data is arranged in ascending order)

A
is increased by 2
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
is decreased by 2
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
is two times the original median
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
remains the same as that of the original set
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
Open in App
Solution

The correct option is D remains the same as that of the original set
Since n = 9 (odd observatioons), Median = (n + 12)th
then median will be
Median = (9 + 12)th=5thobservation
Now, last four observations are increased by 2.
The median is the 5th observation, which remains unchanged.

There will be no change in median.

flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Measures of Central Tendency
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon