Question : The given histogram shows the frequency distribution of the speed of cars passing through a particular spot on a highway. Read the graph and answer the following question.
The number of cars with speed (km} / h)in the interval (60-70) km/h is what percentage less than the number of cars with speed (km/ h) in the interval (70-80) km/h? (correct to one decimal place)
Option 1: 5.9%
Option 2: 5.6%
Option 3: 7.5%
Option 4: 8.6%
Correct Answer: 5.6%
Solution :
Number of cars in the interval (60-70) km/h = 85
Number of cars in the interval (70-80) km/h = 90
Required percentage = $\frac{\text{Number of cars in the interval (70-80) km/h – number of cars in the interval (60-70) km/h}}{\text{Number of cars in the interval (70-80) km/h}}\times100$
= $\frac{90-85}{90}\times100$
= $\frac{5}{90}\times100$
= 5.55
Hence, the correct answer is 5.6%
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