Answer should be D, I don't understand how it could be A. if x is less than 0 (say -1) then -1+(-1)= -2/2= -1. This discredits the rule that x will = 0 if its less than or equal to 0.

can someone pls explain? I got D as the answer. How can X be 0 when it takes a minus value?

Approach #1: Apply the average formula
Average \(= \frac{x + x}{2}= \frac{2x}{2}=x\)
Notice that x can be any value
Answer: D

Approach #2: Eliminate 4 answer choices
Try \(x = -1\)
Average \(= \frac{(-1) + (-1)}{2}= \frac{-2}{2}=-1\)
This means we can:
- eliminate answer choice A, since it says the average must equal 0 if x ≤ 0
- eliminate answer choice B, since it says the average must -(-1) (i.e., 1)
- eliminate answer choice C, since it says the average must equal 0
- eliminate answer choice D, since it says the average must equal |-1| (i.e., 1)
By the process of elimination, the correct answer must be D.

NOTE: I have change the correct answer to D

Cheers,
Brent

GreenlightTestPrep

Thank u sir.

Theory

➡ Average = Sum of all the Values / Total Number of Values

The average (arithmetic mean) of x and x

Average = \(\frac{Sum}{2}\) = \(\frac{x + x}{2}\) = x

So, Answer will be D.
Hope it helps!

Watch the following video to Learn the Basics of Statistics

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