Question

unit 4 test: graphs and describing distributions multipl

1. in a box and whisker plot, the top 25% of the observations will be at or above the

(a) maximum
(b) lower quartile
(c) median
(d) third (upper) quartile
a
b
c
d

Explanation:

In a box - and - whisker plot:

• The lower quartile (\(Q_1\)) has \(25\%\) of the data below it and \(75\%\) of the data above it.
• The median (\(Q_2\)) has \(50\%\) of the data below it and \(50\%\) of the data above it.
• The upper quartile (\(Q_3\)) has \(75\%\) of the data below it and \(25\%\) of the data above it.
• The maximum is the largest value in the data set.

Since we want the value such that the top \(25\%\) of the observations are at or above it, we are looking for the upper (third) quartile.

Answer:

d. third (upper) quartile