Question

My SAT packet says the answer is D but i dont understand why. I realllllly need help on this question b/c im studying for the sat! Please help anyone! :
The median of a list that consists of eleven different numbers is M. If the least and greatest numbers are excluded from the list, the median of the nine numbers in the resulting list is P. Which of the following statements must be true?

A. P= (9/11)m
B. P= (11/9)m
C. P= m-2
D. P=m
E. P=m+2

Answer 1

When the numbers are arranged in order (increasing or decreasing), the median is the MIDDLE number. Assume we arrange the numbers in increasing order. If you remove the least number, you are removing the leftmost number. Then when you remove the greatest number you are removing the rightmost number. So the middle number will still be the same number.

Answer 2

Assume the 11 numbers arranged in increasing order are:
A B C D E F G H I J K
The middle number is F.

Remove A and K from the list.
The middle number, once again, is F.

Answer 3

OH I get it! but where does P come from?

Answer 4

They are just using a variable to represent the middle number.
M is the middle number at first.
Then they change the list. P is the middle number in the new list.
We just need to prove that M and P are the same.

Answer 5

ohhhh i see, that makes a lot of sense. Thank you SO MUCH!

Answer 6

You are welcome.