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?

Question

Kendrick Prince

Mathematics

17 July, 23:26

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?

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Nyla Mason · Answer 1

If the second class has the minimum and maximum values of 48 and 64 inches, respectively, then the minimum and maximum values for the first class must be less than 48 and greater than 64 inches, respectively since the first class has a greater variability.