Question

question #13
ms. gregson noted the resting heart rates of her students after gym class.
85, 68, 76, 73, 81, 80, 65, 67, 82, 79, 67, 78, 68, 83, 71, 82, 70, 80, 75, 69
which box - plot models the resting heart rates of ms. gregsons students?

Explanation:

Step1: Arrange data in ascending order

65, 67, 67, 68, 68, 69, 70, 71, 73, 75, 76, 78, 79, 80, 80, 82, 82, 83, 83

Step2: Find the minimum and maximum values

Minimum = 65, Maximum = 83

Step3: Find the median (Q2)

There are 19 data - points. The median is the 10th value. So, Q2 = 75

Step4: Find the lower half and upper half of data

Lower half: 65, 67, 67, 68, 68, 69, 70, 71, 73
Upper half: 76, 78, 79, 80, 80, 82, 82, 83, 83

Step5: Find Q1 and Q3

Q1 is the median of the lower half. There are 9 values in the lower half, so Q1 is the 5th value. Q1 = 68
Q3 is the median of the upper half. There are 9 values in the upper half, so Q3 is the 5th value. Q3 = 80

Step6: Analyze box - plot features

The box - plot should have a minimum at 65, Q1 at 68, Q2 at 75, Q3 at 80, and a maximum at 83.

Answer:

We need to visually inspect the box - plots to find the one with minimum = 65, Q1 = 68, Q2 = 75, Q3 = 80, and maximum = 83. Without seeing the actual differences in the box - plots you provided in detail (since no clear visual differences are described in text), if we assume the box - plots are differentiated by these quartile and extreme values, we can make a selection based on the above - calculated values. But if we assume the box - plots are standard in construction and differ only in the position of quartiles and extremes, the box - plot with the correct quartile and extreme values as calculated above is the correct one. If we had to guess without seeing the visual differences: we look for a box - plot where the left - most whisker starts at 65, the left side of the box is at 68, the line inside the box is at 75, the right side of the box is at 80, and the right - most whisker ends at 83.