Question

timothy collects data on the weights of watermelons at two farm stands. the box plots show the data distributions. decide whether each statement is true or false. the heaviest watermelon is at stand a. the median weight for stand a is greater than the median weight for stand b. stand a has a greater iqr than stand b.

Explanation:

Step1: Analyze the heaviest watermelon

In a box - plot, the end of the right - most whisker represents the maximum value. For both Stand A and Stand B, the right - most whisker ends at the same point on the scale. So, the statement "The heaviest watermelon is at Stand A" is False.

Step2: Analyze the median weight

The line inside the box of a box - plot represents the median. The median line of Stand A is to the right of the median line of Stand B on the scale. So, the median weight for Stand A is greater than the median weight for Stand B, and this statement is True.

Step3: Analyze the IQR

The IQR (Inter - Quartile Range) is the length of the box in a box - plot. The length of the box for Stand B is greater than the length of the box for Stand A. So, Stand A does not have a greater IQR than Stand B, and this statement is False.

Answer:

1. False
2. True
3. False