In the list of numbers, 6, x, 10, 2, 7, 13, and 15, the median is 10.

Which of the following could NOT be the value of x?

(A) 9

(B) 10

(C) 11

(D) 13

(A) 9

Step-by-step explanation:

Let's put the number of the set 6, 10, 2, 7, 13, 15 in order from least to greatest:

2, 6, 7, 10, 13, 15

we know that the median is the central value of the number set

then

if the median is 10

then x should be placed between 10 and 13 or 13 and 15

which means

x ≥ 10

therefore

9 could NOT be the value of x