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?
Answer
A
Image with description 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.
B
Image with description 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.
C
Image with description 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.
D
Image with description 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.
Explanation
The data are already in order. With 11 values, the middle (6th) value is 3, so the median is 3. The lower half has a middle value of 1, and the upper half has a middle value of 6; the minimum and maximum are 0 and 9. Thus the box runs from 1 to 6, with a median line at 3, as shown in choice C.
AI-written and checked against the verified answer.