a scout leader counted how many badges each scout had earned. badges earned 4 9 5 6 8 9 9 10 4 10 5 which…

Explanation:

Step1: Arrange data in ascending order

4, 4, 5, 5, 6, 8, 9, 9, 9, 10, 10

Step2: Find the median (Q2)

There are 11 data - points. The median is the 6th value. So, Q2 = 8.

Step3: Find the lower half of data

4, 4, 5, 5, 6. The median of the lower half (Q1) is 5.

Step4: Find the upper half of data

9, 9, 9, 10, 10. The median of the upper half (Q3) is 9.

Step5: Identify the minimum and maximum

The minimum value is 4 and the maximum value is 10.

Step6: Analyze box - plots

The box in a box - plot represents the inter - quartile range (IQR) from Q1 to Q3. The line inside the box is the median. The whiskers extend to the minimum and maximum values. The correct box - plot should have the box from 5 to 9 with a line at 8 inside the box, and whiskers extending to 4 and 10.

Answer:

The box - plot with the box starting at 5, ending at 9, the line inside the box at 8, and whiskers extending to 4 and 10. (Since no specific labels for the box - plots are given, a description is provided based on the calculated values).