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.
What percentage of cars were running with a speed less than 70 km/h?
Option 1: 45.75 %
Option 2: 60 %
Option 3: 30 %
Option 4: 51.25 %
Correct Answer: 51.25 %
Solution :
Total number of cars = 50 + 70 + 85 + 90 + 60 + 45 = 400
Total number of cars with speeds less than 70 km/h = 50 + 70 + 85 = 205
Percentage = ($\frac{\text{Part value}}{\text{Total value}}$) × 100
Percentage of cars running with a speed less than 70 km/h
= ($\frac{205}{400}$) × 100
= 51.25%
$\therefore$
The percentage value is 51.25%.
Hence, the correct answer is 51.25%.
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