Question

what is the box - and - whiskers plot used to show?
a. a histogram
c. median
b. variability
d. 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 representation of the five - number summary of a data set (minimum, first quartile \(Q_1\), median \(Q_2\), third quartile \(Q_3\), maximum). It shows the spread (variability) of the data. A histogram is a different type of graph (bar - like representation of data frequency). While the median is part of the box - and - whiskers plot (represented by the line inside the box), the plot as a whole is not just about the median. Observations are individual data points, and the box - and - whiskers plot does not show individual observations but rather a summary of their distribution.

Answer:

B. variability