michael recorded the number of points his team scored for the first seven basketball games. 64, 58, 60, 52…

Explanation:

Step1: Arrange data in ascending order

$52,54,56,58,60,62,64$

Step2: Find the median (Q2)

Since there are 7 data - points, the median is the 4th value. So, $Q2 = 58$.

Step3: Find the lower half of data

The lower half is $52,54,56$. The median of the lower half (Q1) is 54.

Step4: Find the upper half of data

The upper half is $60,62,64$. The median of the upper half (Q3) is 62.

Step5: Identify the minimum and maximum

The minimum value is 52 and the maximum value is 64.

The box - plot should have a box from 54 (Q1) to 62 (Q3) with a line at 58 (Q2) inside the box, and whiskers extending to 52 (minimum) and 64 (maximum).

Answer:

The box - plot with a box from 54 to 62, a line at 58 inside the box, and whiskers extending to 52 and 64. (Without seeing the exact visual differences in the provided box - plots, based on the calculated values this is the correct description of the box - plot).