Question

quiz unit 4 - statistics
the ten tallest buildings are listed in the table. use this table to answer the question below.

building	height (in feet)	building	height (in feet)
building b	1972	building g	1483
building c	1667	building h	1476
building d	1614	building i	1451
building e	1588	building j	1449

explain without calculating, that the median height of the five tallest buildings is more than the median height of the eight tallest buildings.
choose the correct answer below.
a. the median height of the five tallest buildings is the height of the third - building and that of the eight tallest buildings is the average height of the fourth and fifth buildings.
b. in the list of five tallest buildings, each height is unique, but in the list of eight tallest buildings, the height of the building is repeated.
c. the first list contains the odd number of buildings and the second list contains the even number of buildings.
d. in the list of numbers arranged in descending order, the smallest number is the median.

Explanation:

The median of a set with an odd - numbered of elements is the middle value when the data is arranged in order. For five buildings (odd number), the median is the third - tallest building's height. For eight buildings (even number), the median is the average of the fourth and fifth - tallest buildings' heights. Since the third - tallest building among five must be taller than the average of the fourth and fifth - tallest among eight, the median of the five tallest buildings is greater.

Answer:

A. The median height of the five tallest buildings is the height of the third building and that of the eight tallest buildings is the average height of the fourth and fifth buildings.