Question

janelle made ordered lists of the heights, in inches, of the students in ms. carvers and mr. wrights homerooms. she found the two lists had the same median value, but the list from ms. carvers class showed greater variability. if the shortest student in mr. wrights 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. carvers homeroom?
o 46 inches and 61 inches
o 47 inches and 66 inches
o 52 inches and 63 inches
o 53 inches and 68 inches

Explanation:

Step1: Recall range and variability concept

Variability can be measured by range. Range = Maximum - Minimum. Greater variability means a larger range.

Step2: Analyze Mr. Wright's data

In Mr. Wright's homeroom, shortest is 48 inches and tallest is 64 inches. Range = 64 - 48=16 inches.

Step3: Check each option for Ms. Carver's data range

Option 1: 46 and 61 inches

Range = 61 - 46 = 15 inches.

Option 2: 47 and 66 inches

Range = 66 - 47 = 19 inches.

Option 3: 52 and 63 inches

Range = 63 - 52 = 11 inches.

Option 4: 53 and 68 inches

Range = 68 - 53 = 15 inches.

Step4: Select option with greater range than Mr. Wright's

The range for Mr. Wright is 16 inches. The option with 47 inches and 66 inches has a range of 19 inches which is greater.

Answer:

47 inches and 66 inches