Question

The student who traveled to states visited new states during a vacation. Does increasing the to change the​ median? If​ so, how?

Answer 1

Step-by-step explanation:

The exact question is as follows :

Given - The student who traveled to 3 states visited 6 new states during a vacation.

To find - Does increasing the 3 to 6 change the​ median? If​ so, how?

Proof -

Yes,

If we increase the 3 states to 6 states, it changes the median

Because

The median of the first 3 states is the middle state.

For example -

If we have 3 states X, Y, Z

Then the median is the state Y

Now,

The median of 6 states is the average of the 2 middle states.

For example -

If we have 6 states

X, Y, Z, U, V, W

Then

The median is not explicit.

Median is the average of the two middle states, Z and U.

And

Average of Z and U =  half of the sum of Z and U.

i.e.  (Z + U)/2.

And we can see that,

Median of 3 States is not equal to Median of 6 states

i.e. Y is not equal to (Z + U)/2.

So,

We can say that,

Increasing the state 3 to 6 changes the​ median.