Which of the following is always true?
(I) The average (arithmetic mean) of five negative consecutive integers is equal to the average of the largest and smallest of them.
(II) The average (arithmetic mean) of four positive consecutive integers is equal to the average of the largest and smallest of them.
(III) The average (arithmetic mean) of five consecutive integers is equal to the average of the largest and smallest of them.  Choose the correct choice
A) I and III
B) I, II and III
C) II
D) I and II
E) None
he average (arithmetic mean) of five negative consecutive integers is equal to the average of the largest and smallest of them.   (-10+-9+-8+-7+-6)/5 = -40/5 = -8 same as (-10+-6)/2 = -8 True   The average (arithmetic mean) of four positive consecutive integers is equal to the average of the largest and smallest of them.   (2+3+4+5)/4 = 14/4 same as (5+2)/2 = 7/2 always true   (1+2+3+4)/4 = 10/4 same as (4+1)/2 = 5/2   The average (arithmetic mean) of five consecutive integers is equal to the average of the largest and smallest of them.   (3+4+5+6+7)/5= 
<gadget id="calculator">(3+4+5+6+7)/5</gadget>
<output>5</output>
5 same as (7+3)/2= 
<gadget id="calculator">(7+3)/2</gadget>
<output>5</output>
5 True   ANSWER:I, II and III
<result>B</result>
Which of the following is always true?
(I) The average (arithmetic mean) of five negative consecutive integers is equal to the average of the largest and smallest of them.
(II) The average (arithmetic mean) of four positive consecutive integers is equal to the average of the largest and smallest of them.
(III) The average (arithmetic mean) of five consecutive integers is equal to the average of the largest and smallest of them.