Question

Which data set could be represented by the box plot shown below?
A horizontal boxplot is plotted along a horizontal axis marked from 0 to 20, in increments of 1. A left whisker extends from 3 to 7. The box extends from 7 to 13 and is divided into 2 parts by a vertical line segment at 10. The right whisker extends from 13 to 18. All values estimated.
Choose 1 answer:
Choose 1 answer:
(Choice A)
\[3\],
\[4\],
\[8\],
\[9\],
\[9\],
\[10\],
\[12\],
\[13\],
\[13\],
\[16\],
\[18\]
A
\[3\],
\[4\],
\[8\],
\[9\],
\[9\],
\[10\],
\[12\],
\[13\],
\[13\],
\[16\],
\[18\]
(Choice B)
\[3\],
\[4\],
\[7\],
\[9\],
\[9\],
\[10\],
\[12\],
\[13\],
\[13\],
\[16\],
\[18\]
B
\[3\],
\[4\],
\[7\],
\[9\],
\[9\],
\[10\],
\[12\],
\[13\],
\[13\],
\[16\],
\[18\]
(Choice C)
\[3\],
\[4\],
\[8\],
\[9\],
\[9\],
\[12\],
\[12\],
\[13\],
\[13\],
\[16\],
\[18\]
C
\[3\],
\[4\],
\[8\],
\[9\],
\[9\],
\[12\],
\[12\],
\[13\],
\[13\],
\[16\],
\[18\]
(Choice D)
\[2\],
\[4\],
\[7\],
\[9\],
\[9\],
\[10\],
\[12\],
\[13\],
\[13\],
\[16\],
\[18\]
D
\[2\],
\[4\],
\[7\],
\[9\],
\[9\],
\[10\],
\[12\],
\[13\],
\[13\],
\[16\],
\[18\]

Answer 1

To determine which data set could be represented by the described box plot, we need to analyze the components of the box plot and match them with the provided choices.

1. The left whisker extends from 3 to 7, indicating that the minimum value is 3 and the first quartile (Q1) is 7.
2. The box extends from 7 to 13, which means Q1 is at 7 and the third quartile (Q3) is at 13.
3. The median (shown as a line inside the box) is at 10.
4. The right whisker extends from 13 to 18, meaning the maximum value is 18.

Now let's evaluate each choice against this information:

- **Choice A:** Minimum = 3, Q1 = 7, Median = 10, Q3 = 13, Maximum = 18
- **Choice B:** Minimum = 3, Q1 = 4 (not matching), Median = 10, Q3 = 13, Maximum = 18
- **Choice C:** Minimum = 3, Q1 = 8 (not matching), Median = 10, Q3 = 13, Maximum = 18
- **Choice D:** Minimum = 2 (not matching), Q1 = 7, Median = 10, Q3 = 13, Maximum = 18

Only **Choice A** fits all criteria:
- Minimum = 3, Q1 = 7, Median = 10, Q3 = 13, Maximum = 18.

Therefore, the answer is:

**(Choice A)**
\[3\],
\[4\],
\[8\],
\[9\],
\[9\],
\[10\],
\[12\],
\[13\],
\[13\],
\[16\],
\[18\]