Question

which is a correct comparison of sandwich prices based on the histograms?
the interval from $11 to $12 contains the most shops for both college locations.
more shops charge between $12 and $13 near main line university than city college.
the median price lies between $10 to $11 for both city college and main line university.
fewer shops sell sandwiches for under $10 near city college than near main line university.

Explanation:

Step1: Analyze the first option

Looking at the histograms, for the left - hand histogram (assuming it's one college) the tallest bar is in the \(12 - 13\) interval, not \(11 - 12\). So, the first option is incorrect.

Step2: Analyze the second option

For the \(12 - 13\) interval, the height (cumulative relative frequency increase) of the bar for the left - hand histogram (assuming it's Main Line University) is less than that of the right - hand histogram (assuming it's City College). So, the second option is incorrect.

Step3: Analyze the third option

The median is the \(50\%\) cumulative relative frequency. For the left - hand histogram (assuming Main Line University), the \(50\%\) mark is in the \(11 - 12\) interval. For the right - hand histogram (assuming City College), the \(50\%\) mark is also in the \(11 - 12\) interval. So, the third option is incorrect.

Step4: Analyze the fourth option

For the under - \(10\) (i.e., \(7 - 9\)) interval, the cumulative relative frequency for the left - hand histogram (assuming Main Line University) is higher than that of the right - hand histogram (assuming City College). This means fewer shops sell sandwiches for under \(\$10\) near City College than near Main Line University.

Answer:

Fewer shops sell sandwiches for under \(\$10\) near City College than near Main Line University.