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 quartiles in a box - plot

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

Step2: Check each box - plot

• For the first box - plot:
• The left - hand edge of the box (lower quartile) is at \(24\).
• The right - hand edge of the box (upper quartile) is at \(42\).
• For the second box - plot:
• The left - hand edge of the box (lower quartile) is at \(36

eq24\).

• For the third box - plot:
• The right - hand edge of the box (upper quartile) is at \(40

eq42\).

• For the fourth box - plot:
• The left - hand edge of the box (lower quartile) is at \(36

eq24\).

Answer:

The first box - plot (the orange - colored one) represents a data set with a lower quartile of \(24\) and an upper quartile of \(42\).