Question : The number of students in Class XI in the Science, Arts and Commerce streams of a school over a period of 4 years (2011 2014) has been depicted through the bar chart given below.
What is the difference between the averages of the number of Science and Commerce students in the given class over the given period of 4 years?
Option 1: 8
Option 2: 10
Option 3: 12
Option 4: 5
Correct Answer: 5
Solution :
From the given bar graph,
Total no. of students in science over the given years = 20 + 30 + 40 + 10 = 100
⇒ Average no. of science students over the given years = $\frac{100}{4}$ = 25
Total no. of students in commerce over the given years = 40 + 30 + 20 + 30 = 120
⇒ Average no. of commerce students over the given years = $\frac{120}{4}$ = 30
So, Difference between the average number of Science and Commerce students in the given class over the given period = 30 – 25 = 5
Hence, the correct answer is 5.
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