Question

A toy manufacturing company produced toys as shown in the bar graph below. The average production of 2004 and 2005 was exactly equal to the average production of which of the following pairs of years?

• A. 2003 and 2007
• B. None of the above
• C. 2001 and 2006
• D. 2002 and 2008

Answer 1

The correct option is A 2003 and 2007

Let's calculate the average production of 2004 and 2005.
Production in 2004 = 20 thousand
Production in 2005 = 40 thousand
$\text{So, average production is}=\frac{20+40}{2}$
$=\frac{60}{2}=\text{30 thousand}$

The red line shows the average production of 2004 and 2005 on the graph.


We have to check which two columns are equidistant from the red line.


In the above graph, we can observe that the years 2001 and 2004 and 2003 and 2007 are equidistant from the line.

So, among the given options, the years 2003 and 2007 have the same average as that of the years 2004 and 2005.

Let's verify the result.
Average production for the years 2003 and 2007:
Production in 2003 = 35 thousand
Production in 2007 = 25 thousand
$\text{So, average production}=\frac{35+25}{2}$
$=\frac{60}{2}=\text{30 thousand}$

So, the average production for the years 2004 and 2005 is the same as the average production for the years 2003 and 2007.