Question

The data set represents the number of minutes Dan spent on his homework each night.

30, 35, 35, 45, 46, 46, 52, 55, 57

Which box plot correctly represents the data?

A number line goes from 30 to 58. The whiskers range from 30 to 57, and the box ranges from 35 to 53. A line divides the box at 46.
A number line goes from 30 to 58. The whiskers range from 30 to 57, and the box ranges from 35 to 52. A line divides the box at 46.
A number line goes from 30 to 58. The whiskers range from 30 to 57, and the box ranges from 35 to 55. A line divides the box at 46.
A number line goes from 30 to 58. The whiskers range from 30 to 57, and the box ranges from 35 to 55. A line divides the box at 45.

Answer 1

Compute the five-number summary.

Sorted data: 30, 35, 35, 45, 46, 46, 52, 55, 57
- Min = 30
- Max = 57
- Median = middle (5th) value = 46
- Using the common method that includes the median in both halves:
- Lower half: 30, 35, 35, 45, 46 → Q1 = middle = 35
- Upper half: 46, 46, 52, 55, 57 → Q3 = middle = 52

So the box goes from 35 to 52, median at 46, whiskers from 30 to 57. That matches the second option.