The average (arithmetic mean) of the integers from 100 to 200, inclusive, is how much lesser than the average of the integers from 150 to 950, inclusive?  Choose the correct choice from the following answers.
A) 350
B) 475
C) 300
D) 425
E) 400
For an AP the mean or average of series is average of first and last term.   So, average of numbers between 150 to 950, inclusive = (150+950)/2= 
<gadget id="calculator">(150+950)/2</gadget>
<output>550</output>
550   average of numbers between 100 to 200, inclusive= (100+200)/2= 
<gadget id="calculator">(100+200)/2</gadget>
<output>150</output>
150   difference= 550 - 150= 
<gadget id="calculator">550 - 150</gadget>
<output>400</output>
400   Answer is 400
<result>E</result>
The average (arithmetic mean) of the integers from 100 to 200, inclusive, is how much lesser than the average of the integers from 150 to 950, inclusive?