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

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