Question : The given histogram shows the frequency distribution of the speed of cars passing through at a particular spot on a highway. Study the graph and answer the question that follows.
The number of cars with speeds between 70 km/h and 80 km/h is what percentage more than the number of cars with speeds between 50 km/h and 60 km/h? (correct to one decimal place)
Option 1: 22.2 %
Option 2: 15.5 %
Option 3: 28.6 %
Option 4: 29.7 %
Correct Answer: 28.6 %
Solution :
According to the question
Number of cars in 70 - 80 km/h range(A) = 90
Number of cars in 50 - 60 km /h range(B) = 70
Use: A is more than B in percentage = $\frac{(A- B)}{B}$×100
⇒ Required percentage = $\frac{90 - 70}{70}$×100
= 28.56% ~ 28.6%
Hence, the correct answer is 28.6%.
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