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QUESTION:

Here again are the boxplots showing amount spent for vehicles in two neighboring locations (in thousands of dollars).

The cost of vehicles purchased in Metropolis and Suburbia are displayed horizontally in side-by-side boxplots. The income scale is from 0 to 60, measured in thousands of dollars. Metropolis has a minimum of about $15 thousand, the low end of the box is $25 thousand, the median is $30 thousand, the high end of the box is $45 thousand, and the maximum is $60 thousand. Suburbia has a minimum of about $20 thousand, the low end of the box is $25 thousand, the median is $30 thousand, the high end of the box is $38 thousand, and the maximum is $40 thousand.

Which city has a greater percentage of vehicles which cost between $30,000 and $50,000?

ANSWER:

 Suburbia


This is correct. 

As the picture below shows, for Suburbia, $30,000 is the median and $50,000 is above the maximum, and therefore 50% of the vehicles in Suburbia cost between $30,000 and $50,000. For Metropolis, $30,000 is the median and $50,000 is between Q3 and the maximum and therefore between 25% and 50% of the vehicles in metropolis cost between $30,000 and $50,000.

Posted by Cleveland on September 19, 2024
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