Answer:
Yes, changing from 3 states to 6 states changes the median because:
- The median of the first 3 states is simply the middle-placed state of the 3 states.
- The median of 6 states is the average of the 2 middle states.
Step-by-step explanation:
Suppose the first 3 states in order are:
A, B, C.
The median of these states is simply the middle state, B.
Adding 3 new states to have:
A, B, C, D, E, F.
The median is not explicit. It is the average of the two middle states, C and D.
Average of C and D is half of the sum of C and D.
That is (C + D)/2.
Which is different from B.
