Question 53

The given bar graph given below provides information about the quantity of salt produced by a company in 8 consecutive years. Study the information provided in the bar graph and answer the question that follows.

The average production of salt in 2001 and 2003 was exactly equal to the average production of salt in which of the following pairs of years?

Solution

Average production of salt in 2001 and 2003 = $$\frac{40000+70000}{2}$$

= $$\frac{110000}{2}$$

= 55000

Option (a) 2006 and 2007

average production of salt in 2006 and 2007 = $$\frac{50000+80000}{2}$$

= $$\frac{130000}{2}$$

= 65000

This is not equal to the required average. So this is not the correct answer.

Option (b) 2001 and 2005

average production of salt in 2001 and 2005 = $$\frac{40000+55000}{2}$$

= $$\frac{95000}{2}$$

= 47500

This is not equal to the required average. So this is not the correct answer.
Option (c) 2002 and 2007

average production of salt in 2002 and 2007 = $$\frac{30000+80000}{2}$$

= $$\frac{110000}{2}$$

= 55000
This is equal to the required average. So this is the correct answer.

Option (d) 2005 and 2006

average production of salt in 2005 and 2006 = $$\frac{55000+50000}{2}$$

= $$\frac{105000}{2}$$

= 52500

This is not equal to the required average. So this is not the correct answer.


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