Note: A maximum number of 4 points are available for this question. Part A is worth 1 point. Part B is worth 1 point. Part C is worth 2 points.


Larry is conducting an experiment that requires collecting data on the ages of boys and girls in his music classes. Among the data he collected, Larry noted the ages of 15 boys and 17 girls. Based on the collected data, he determined the following.

Ages of Students in Music Classes
Age Boys Girls
Minimum 7 10
Maximum 18 18
Mean 12 14
Median 12 15
Mean Absolute Deviation 2.93 2.35
Range 11 8
Interquartile Range 7 7



A
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If Larry were to make a dot plot of the combined data, explain the characteristics he should see. (Is there overlap in the data? Can he determine if there are two sets being measured, or does it look like one set of data? Does the information shown in the dot plot indicate which data set has the most variability?)
Rubric



B
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If Larry were to make a box-and-whisker plot of each data set, explain the characteristics he should see. (Is there overlap in the data? Is there overlap within the 1st and 3rd quartiles? Does the information shown in the box-and-whisker plots indicate which data set has the most variability?)


C
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A new boy, Paul, has joined Larry's music class. Paul is younger than all but two of the other boys. Larry includes Paul's age to make a new data set for the boys. Which measure(s) must be the same when Paul's age is included? Justify your answer.