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\neq24).
• For the third box - plot:
  • The right - hand edge of the box (upper quartile) is at (40\neq42).
• For the fourth box - plot:
  • The left - hand edge of the box (lower quartile) is at (36\neq24).

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).