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, 70, 71, 73, 75, 76, 78, 79, 80, 80, 81, 82, 82, 83, 85

Step2: Find the median (Q2)

There are 21 data - points. The median is the 11th value, so Q2 = 75.

Step3: Find the lower half and its median (Q1)

The lower half is 65, 67, 67, 68, 68, 69, 70, 70, 71, 73. There are 10 values. The median of the lower half (Q1) is the average of the 5th and 6th values: $\frac{68 + 69}{2}=68.5$.

Step4: Find the upper half and its median (Q3)

The upper half is 76, 78, 79, 80, 80, 81, 82, 82, 83, 85. There are 10 values. The median of the upper half (Q3) is the average of the 5th and 6th values: $\frac{80+81}{2}=80.5$.

Step5: Identify the minimum and maximum

The minimum is 65 and the maximum is 85.

Step6: Match with box - plot

The box - plot with minimum = 65, Q1 = 68.5, Q2 = 75, Q3 = 80.5, and maximum = 85 is the correct one.

Answer:

The box - plot that has the minimum value at 65, the first quartile (Q1) around 68.5, the median (Q2) at 75, the third quartile (Q3) around 80.5, and the maximum value at 85. Without specific labels for each box - plot in the options, based on the calculated values, you can identify the correct one among A, B, C, D. If we assume the box - plots are labeled in order, you would need to visually check which one has these correct quartile and extreme values.