Question

Study the bar chart and answer the question that follows.
Production of Fertilizers by a Company (in 1000 tonnes) Over the Years

The average production of 1996 and 1997 was exactly equal to the average production of which of the following pairs of years?

• A. 2000 and 2001
• B. 1999 and 2000
• C. 1998 and 2000
• D. 1995 and 2001

Answer 1

The correct option is D 1995 and 2001

Average production (in 10000 tonnes) of 1996 and 1997
$\frac{40+60}{2}=50.$
We shall find the average production (in 10000 tonnes) for each of the given alternative pairs:
2000 and 2001=$\frac{50+75}{2}=62.5$
1999 and 2000=$\frac{65+50}{2}=57.5$
1998 and 2000=$\frac{45+50}{2}=47.5$
1995 and 1999=$\frac{25+65}{2}=45$
1995 and 2001=$\frac{25+75}{2}=50$
$\therefore$The average production of 1996 and 1997 is equal to the average production of 1995 and 2001.