First slide

Introduction to statistics

Question

The median of a set of nine distinct observations is 20.5. If each of the last four observations of the set is increased by 2, then the median of the new set

Easy

A

Is Increased by 2
B

Is decreased by 2
C

Is two times the original median
D

Remains the same as that of the original set

Solution

$Since n = 9, median term = {(\frac{9 + 1}{2})}^{t h} = 5 th term.$
Now, the last four observations are increased by 2.
Since the median is the 5th observation, which remains unchanged,
there will be no change in median.

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