over the summer, aiden had a part - time job at the library. he recorded how many hours he worked each…

over the summer, aiden had a part - time job at the library. he recorded how many hours he worked each week.\ntime worked (hr.)\n6 4 13 11 14 6 20 9 14 4 14 18\nwhich box plot represents the data?\ntime worked (hr.)\n0 4 8 12 16 20\ntime worked (hr.)\n0 4 8 12 16 20

over the summer, aiden had a part - time job at the library. he recorded how many hours he worked each week.\ntime worked (hr.)\n6 4 13 11 14 6 20 9 14 4 14 18\nwhich box plot represents the data?\ntime worked (hr.)\n0 4 8 12 16 20\ntime worked (hr.)\n0 4 8 12 16 20

Answer

Explanation:

Step1: Arrange data in ascending order

4, 4, 6, 6, 9, 11, 13, 14, 14, 14, 18, 20

Step2: Find the median (Q2)

There are 12 data - points. The median is the average of the 6th and 7th values. $\frac{11 + 13}{2}=12$

Step3: Find the lower half of data

4, 4, 6, 6, 9, 11. The median of the lower - half (Q1) is $\frac{6+6}{2}=6$

Step4: Find the upper half of data

13, 14, 14, 14, 18, 20. The median of the upper - half (Q3) is $\frac{14 + 14}{2}=14$

Step5: Identify the minimum and maximum

The minimum value is 4 and the maximum value is 20.

Answer:

The box - plot with the minimum at 4, Q1 at 6, Q2 at 12, Q3 at 14, and maximum at 20 represents the data. Without specific labels for the given box - plots, we can't choose an exact lettered option, but the box - plot should have these key values marked correctly.