Question

what is the box-and-whiskers plot used to show?
a. a histogram \t\t\tc. median
b. variability \t\t\td. observations

please select the best answer from the choices provided

○ a
○ b
○ c
○ d

Explanation:

A box - and - whiskers plot (box plot) is a graphical display of the five - number summary of a dataset (minimum, first quartile, median, third quartile, maximum). It is mainly used to show the spread or variability of the data. A histogram is a different type of graph used to show the frequency distribution of data, so option a is incorrect. While the median is part of the information in a box - and - whiskers plot, the plot is not mainly used to show just the median, so option c is incorrect. It is not used to show individual observations in the way that, for example, a dot plot might, so option d is incorrect.

Answer:

B. variability