statist

[sud21]

X is in the set 2, 4, 8, 10, and x, what is x?
1) The average of the numbers is equal to the median
2) X is not 16

[Anurag@Gurome]

X is in the set 2, 4, 8, 10, and x, what is x?
1) The average of the numbers is equal to the median
2) X is not 16

Average of the numbers = (2 + 4 + 8 + 10 + x)/5 = (24 + x)/5

Statement 1:

• # For x ≤ 4, median = 4 = (24 + x)/5 ---> x = -4
  # For 4 < x < 8, median = x = (24 + x)/5 ---> x = 6
  # For x ≥ 8, median = 8 = (24 + x)/5 ---> x = 16

Hence, x can have any of the three values (-4, 6, and 16).

Not sufficient

Statement 2: x can be anything.

Not sufficient

1 & 2 Together: x can be either -4 or 6.

Not sufficient

The correct answer is E.