Question : Study the given graph and answer the question that follows.
The graph shows data related to the number of students enrolled for a vocational course in two institutes (X and Y) during three years.
What is the difference between the average number of students enrolled in Institute X in 2010 and 2011 and that in Institute Y in 2011 and 2012?
Option 1: 20
Option 2: 15
Option 3: 18
Option 4: 22
Correct Answer: 20
Solution :
Students enrolled in institute X in 2010 and 2011 = 320 + 240 = 560
Average = $\frac{\text{Sum of all the observations}}{{\text{Total number of observations}}}=\frac{560}{2}
= 280$
Students enrolled in Institute Y in 2011 and 2012 = 320 + 200 = 520
Average = $\frac{520}{2}= 260$
Difference = 280 – 260 = 20
Hence, the correct answer is 20.
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