Question

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?
46 inches and 61 inches
47 inches and 66 inches
52 inches and 63 inches
53 inches and 68 inches

Answer 1

Answer:

its C.

Step-by-step explanation:

the reason i am putting this is because i tried B and it was wrong,

Answer 2

Answer:

47 inches and 66 inches

Step-by-step explanation:

1. The average of 48 and 64 is super-close to the average of the values in options b, c. And definitely not close to option d's. [a: 53.5, b: 56.5, c: 57.5, d: 60.5, given data: 56]

2. The difference of the upper and lower values (the range, hence), for comparison of variability is high for option b. [a: 15, b: 19, c: 11, d: 15, given data: 16]

The only common one is option b, 47 and 66 inches

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