Karl was suspicious that cars driving down his street were often driving faster than the speed limit of 25mph. He called the police department and complained. In response the police department set up a radar speed sign (shown in the image below) and recorded the speeds of vehicles for a day.Here is the report they obtained after observing speeds for a day.Mean Speed 28.2 mphMinimum Speed 18 mphMaximum Speed 43 mphMedian Speed 25 mph90th Percentile of Speed 33.1 mph Which of the following would be a correct statement to make about the information shown in the above report?Group of answer choicesThe fastest car observed was driving 28.2 mph.One in every 10 of the vehicles observed (10%) was driving faster than 33.1 mph.The typical speed of vehicles that day was around 18 mph.The average speed of 28.2 was under the speed limit, so it seems that, at least on average, cars are going the correct speed.Cars all appear to have been driving very quickly that day as the slowest vehicle speed recorded was still higher than the speed limit.
Question
Karl was suspicious that cars driving down his street were often driving faster than the speed limit of 25mph. He called the police department and complained. In response the police department set up a radar speed sign (shown in the image below) and recorded the speeds of vehicles for a day.Here is the report they obtained after observing speeds for a day.Mean Speed 28.2 mphMinimum Speed 18 mphMaximum Speed 43 mphMedian Speed 25 mph90th Percentile of Speed 33.1 mph Which of the following would be a correct statement to make about the information shown in the above report?Group of answer choicesThe fastest car observed was driving 28.2 mph.One in every 10 of the vehicles observed (10%) was driving faster than 33.1 mph.The typical speed of vehicles that day was around 18 mph.The average speed of 28.2 was under the speed limit, so it seems that, at least on average, cars are going the correct speed.Cars all appear to have been driving very quickly that day as the slowest vehicle speed recorded was still higher than the speed limit.
Solution 1
The correct statement to make about the information shown in the report is: "One in every 10 of the vehicles observed (10%) was driving faster than 33.1 mph." This is because the 90th percentile of speed is 33.1 mph, which means that 10% of the vehicles observed were driving faster than this speed. The other statements are incorrect based on the data provided in the report.
Solution 2
The correct statement to make about the information shown in the report is: "One in every 10 of the vehicles observed (10%) was driving faster than 33.1 mph." This is because the 90th percentile of speed is 33.1 mph, which means that 90% of the speeds observed were at or below this speed, and therefore 10% were above it.
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