Question

Given X1=20 and X2=-20. The arithmetic mean will be:
(A) Zero
(B) Infinity
(C) Impossiblc
(D) Difficult to tell​

Answer 1

Answer:

a) zero

Step-by-step explanation:

x1+X2/2

20-20/2= 0

Answer 2

The arithmetic mean of X1 and X2 will be 0 (option A).

Given,

X1 = 20, X2 = -20

To find,

The arithmetic mean of given observations.

Solution,

The arithmetic mean of X1 and X2 will be 0.

According to the question,

X1 = 20, X2 = -20

We know that the following formula is used to find the mean:

Mean = Sum of observations/total number of observations

Mean = [20+(-20)]/2

Mean = (20-20)/2

Mean = 0/2

Mean = 0

(Note that if zero is in the denominator then the answer would be infinity.)

Hence, the arithmetic mean of X1 and X2 is 0.