Question : Direction: Study the following bar graph and answer the question :
The average production of 1996 and 1997 is exactly equal to the average production of the years.
Option 1: 1995 and 2001
Option 2: 1995 and 1999
Option 3: 1999 and 2000
Option 4: 2000 and 2001
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Correct Answer: 1995 and 2001
Solution :
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:
Average production (in 10000 tonnes) of 2000 and 2001 = $\frac{50+75}{2}$ = 62.5
Average production (in 10000 tonnes) of 1999 and 2000 = $\frac{65+50}{2}$ = 57.5
Average production (in 10000 tonnes) of 1995 and 1999 = $\frac{25+65}{2}$ = 45
Average production (in 10000 tonnes) of 1995 and 2001 = $\frac{25+75}{2}$ = 50
∴ The average production of 1996 and 1997 is equal to the average production of 1995 and 2001.
Hence, the correct answer is 1995 and 2001.
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