Janelle made ordered lists of the heights, in inches, of the students in Ms. Carver’s and Mr. Wright’s homerooms. She found the two lists had the same median value, but the list from Ms. Carver’s class showed greater variability. If the shortest student in Mr. Wright’s homeroom is 48 inches tall and the tallest student is 64 inches tall, what could be the heights of the shortest and tallest students in Ms. Carver’s homeroom?
Mr. Wright’s class has a range of 64 − 48 = 16 inches. Greater variability means Ms. Carver’s class must have a larger range; choice B gives 66 − 47 = 19 inches. The other choices have ranges of 15, 11, and 15 inches, so they are not more variable.
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