Question

Which boxplot represents the data set?

{3,8,8,6,9,7,4,3,7,6,8,12,9,7,2,4}


(1 point)
Responses

A boxplot on a number line from 2 to 12 is untitled. The 5 points on the boxplot are 2, 3, 4, 8, and 12. The box is from 3 to 8. A vertical line is at 4. A line connects 2 and 3. A line connects 8 and 12.
Image with description A boxplot on a number line from 2 to 12 is untitled. The 5 points on the boxplot are 2, 3, 4, 8, and 12. The box is from 3 to 8. A vertical line is at 4. A line connects 2 and 3. A line connects 8 and 12.

A boxplot on a number line from 2 to 12 is untitled. The 5 points on the boxplot are 2, 4, 7, 8, and 12. The box is from 4 to 8. A vertical line is at 7. A line connects 2 and 4. A line connects 8 and 12.
Image with description A boxplot on a number line from 2 to 12 is untitled. The 5 points on the boxplot are 2, 4, 7, 8, and 12. The box is from 4 to 8. A vertical line is at 7. A line connects 2 and 4. A line connects 8 and 12.

A boxplot on a number line from 2 to 12 is untitled. The 5 points on the boxplot are 2, 3, 6.5, 8.25, and 12. The box is from 3 to 8.25. A vertical line is at 6.5. A line connects 2 and 3. A line connects 8.25 and 12.
Image with description A boxplot on a number line from 2 to 12 is untitled. The 5 points on the boxplot are 2, 3, 6.5, 8.25, and 12. The box is from 3 to 8.25. A vertical line is at 6.5. A line connects 2 and 3. A line connects 8.25 and 12.

A boxplot on a number line from 2 to 12 is untitled. The 5 points on the boxplot are 2, 3, 5, 8.25, and 12. The box is from 3 to 8.25. A vertical line is at 5. A line connects 2 and 3. A line connects 8.25 and 12.

Answer 1

Sort the data: 2, 3, 3, 4, 4, 6, 6, 7, 7, 7, 8, 8, 8, 9, 9, 12 (n = 16).

- Min = 2
- Q1 = median of first 8 values = (4 + 4)/2 = 4
- Median = (8th + 9th)/2 = (7 + 7)/2 = 7
- Q3 = median of last 8 values = (8 + 8)/2 = 8
- Max = 12

So the boxplot with five-number summary 2, 4, 7, 8, 12 (the second option) is correct.