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.
What percentage of cars were running at the speed of 90 km/h and above?
Option 1: 15.75%
Option 2: 11.25%
Option 3: 10%
Option 4: 21.25%
Correct Answer: 11.25%
Solution :
Number of cars having speed between (40-50) kmph = 50
Number of cars having speed between (50-60) kmph = 70
Number of cars having speed between (60-70) kmph = 85
Number of cars having speed between (70-80) kmph = 90
Number of cars having speed between (80-90) kmph = 60
Number of cars having speed between (90-100) kmph = 45
Calculations:
Total cars on highway = 50 + 70 + 85 + 90 + 60 + 45 = 400
Cars running with the speed of 90 km/hr and above = 45
Percentage of cars running with the speed of 90km/hr and above = $(\frac{45}{400})$ × 100 = 11.25%
$\therefore$ 11.25% cars were running with the speed of 90 km/hr and above.
Hence, the correct answer is 11.25%
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