Question

which box plot represents a data set with a lower quartile of 24 and an upper quartile of 42?

Explanation:

Step1: Recall the definition of lower and upper quartile in box - plot

In a box - plot, the lower quartile (\(Q_1\)) is the left - hand edge of the box and the upper quartile (\(Q_3\)) is the right - hand edge of the box.

Step2: Check each box - plot

• First box - plot:

The left - hand edge of the box is at \(24\) (lower quartile \(Q_1 = 24\)) and the right - hand edge of the box is at \(42\) (upper quartile \(Q_3=42\)).

• Second box - plot:

The left - hand edge of the box is at \(36
eq24\) (lower quartile \(Q_1
eq24\)).

• Third box - plot:

The left - hand edge of the box is at \(30
eq24\) (lower quartile \(Q_1
eq24\)).

• Fourth box - plot:

The left - hand edge of the box is at \(36
eq24\) (lower quartile \(Q_1
eq24\)).

Answer:

The first box - plot (the orange one)