Question

The data set represents the total number of pencils each student in a class needs to sharpen.

0, 1, 1, 1, 2, 3, 4, 4, 6, 6, 9

Which box plot correctly represents the data?

A number line goes from 0 to 10. The whiskers range from 0 to 9, and the box ranges from 2 to 6. A line divides the box at 3.
A number line goes from 0 to 10. The whiskers range from 0 to 9, and the box ranges from 2 to 6. A line divides the box at 4.
A number line goes from 0 to 10. The whiskers range from 0 to 9, and the box ranges from 1 to 6. A line divides the box at 4.
A number line goes from 0 to 10. The whiskers range from 0 to 9, and the box ranges from 1 to 6. A line divides the box at 3.

Answer 1

Compute median and quartiles for the 11 ordered values (0,1,1,1,2,3,4,4,6,6,9):

- Median (middle, 6th value) = 3.
- Lower half (first 5 values 0,1,1,1,2) → Q1 = middle = 1.
- Upper half (last 5 values 4,4,6,6,9) → Q3 = middle = 6.
- Min = 0, max = 9.

So the box runs from 1 to 6, the median line at 3, and whiskers from 0 to 9 — the fourth option.