Question

Which data set could be represented by the box plot shown below?

• A. 94, 95, 97, 98, 101, 105, 106, 110
• B. 94, 96, 102, 103, 106, 109, 111
• C. 10, 97, 102, 104, 106
• D. 97,102, 103, 104,105, 106, 110

Answer 1

The correct option is D 97,102, 103, 104,105, 106, 110

From the given box plot, we can conclude that:
Minimum value $=97$
Maximum value $=110$
Lower quartile $=102$
Upper quartile $=106$
Median $=104$

Option A: The minimum of the value of the data set is 94, but the minimum in the box plot is 97, so this data set cannot be represented by the box plot shown.

Option B: Arranging the data in ascending order:
97, 102, 103, 104, 105, 106, 110.
Maximum value is 110, lower quartile is 102,the upper quartile is 106, and median is 104. So, this data set can be represented by the box plot shown in the question.

Option C: The minimum of the value of the data set is 94, but the minimum in the box plot is 97, so this data set cannot be represented by the box plot shown.

Option D: The minimum value of the data set is 10, but the minimum in the box plot is 97. So, this data set cannot be represented by the box plot shown in the question.
Based on these conditions, we pick the only option that has all these numbers, i.e., 97, 102, 103, 104, 105, 106, and 110.