Question

unit 4 - mean, median and mode, and
the ten tallest buildings are listed in the table. use this table to answer the question below.
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. 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.
b. in the list of numbers arranged in descending order, the smallest number is the median.
c. the first list contains the odd number of buildings and the second list contains the even number of buildings.
d. 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.

Explanation:

When finding the median of a set of data, for a set with an odd - numbered of elements (like 5 tallest buildings), the median is the middle - numbered value when the data is arranged in ascending or descending order. For a set with an even - numbered of elements (like 8 tallest buildings), the median is the average of the two middle - numbered values. Since the 5 tallest buildings are a subset of the 8 tallest buildings and the middle value of 5 data points is likely to be larger than the average of the two middle values of 8 data points.

Answer:

D. 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.