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. stand a has a greater range than stand b.

Explanation:

Step1: Analyze the range

The range is calculated as \( \text{Range} = \text{Maximum value}-\text{Minimum value}\). For both stands, the minimum value is the same (the left - most dot). The maximum value (right - most dot) for Stand A is greater than that for Stand B. So, the range of Stand A is greater than that of Stand B.

Step2: Analyze the median

The median is the line inside the box. The median line of Stand A is to the right of the median line of Stand B. So, the median weight of Stand A is greater than that of Stand B.

Step3: Analyze the IQR

The IQR (Inter - Quartile Range) is the length of the box (\(IQR = Q3 - Q1\)). The box of Stand B is longer than the box of Stand A. So, \(IQR_{B}>IQR_{A}\).

Step4: Analyze the maximum value

The right - most dot (maximum value) for Stand A is greater than that for Stand B. So, the heaviest watermelon is at Stand A.

Answer:

1. True
2. True
3. False
4. True