Question : The given bar chart presents the average marks obtained in English (E) and vernacular (V) by the students of five districts (D1, D2, D3, D4, D5) in a state at the secondary level examination of a particular year (marks secured out of a total of 100 ).
What is the difference between the average percentage of marks in the vernacular of the districts (D1, D2, D4) and (D3, D5)?
Option 1: 1.7%
Option 2: 11.3%
Option 3: 22.5%
Option 4: 3.5%
Correct Answer: 22.5%
Solution :
Given: Full marks = 100
Total marks of D1, D2 and D4 = 80 + 70 + 75 = 225
Average marks of D1, D2 and D4 = $\frac{225}{3}$
= 75
Average percentage of D1, D2 and D4 = 75%
Total marks of D3 and D5 = 50 + 55 = 105
Average marks of D1 and D5 = $\frac{105}{2}$
= 52.5
Average percentage of D1 and D5 = 52.5%
Required difference = 75 – 52.5 = 22.5
Hence, the correct answer is 22.5%.
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