Question

A box plot graphically displays ______. Select one:

a. the minimum, maximum, mean, 25th percentile, and 75th percentile values
b. the minimum, maximum, 50th percentile, 20th percentile, and 80th percentile values
c. the minimum, maximum, median, 25th percentile, and 75th percentile values
d. the 25th percentile, 75th percentile, and 100th percentile value

Answer 1

A box plot graphically displays the minimum, maximum, median, 25th percentile, and 75th percentile values of a dataset. The five-number summary helps illustrate the spread and concentration of the data.

Step-by-step explanation:

A box plot graphically displays the following five-number summary:

The minimum valueThe first quartile (25th percentile)

The median (50th percentile)

The third quartile (75th percentile)

The maximum value

The correct answer to the question "A box plot graphically displays ______." would be option (c), which states: the minimum, maximum, median, 25th percentile, and 75th percentile values. This is because a box plot is constructed from these specific values, which are used to show the concentration of the data, how the extreme values are distributed in relation to the rest of the data, and the range of the data set. The five-number summary is instrumental in understanding the distribution of the dataset.