Final answer:
To evaluate the weekly unit sales of two stores based on their boxplots, one must consider the median, quartiles, and variability indicated by the Interquartile Range and whiskers or outliers. Statements about consistency, median comparisons, and variations can be ascertained by analyzing these elements.
Step-by-step explanation:
To compare the weekly unit sales of two small franchise stores in Florida and Colorado using boxplots, we need to evaluate the given statements based on the characteristics of the box plots such as consistency, median, quartiles, and outliers
- A) Weekly unit sales in Florida are more consistent than weekly sales in Colorado. This statement would be considered true if the Interquartile Range (IQR) for Florida is narrower compared to Colorado's, as a smaller IQR indicates less variability and hence more consistency.
- B) The first quartile of weekly unit sales in Florida is less than the first quartile of weekly unit sales in Colorado. This is true if the lower end of Florida's box plot is at a lower value than the lower end of Colorado's box plot.
- C) Weekly unit sales in Colorado have more extreme values than weekly sales in Florida. This is typically represented by longer whiskers or outliers in the box plot for Colorado.
- D) The median of weekly unit sales in Florida is greater than the median of weekly sales in Colorado. This would be true if the line dividing the box (which represents the median) in Florida's box plot is to the right of the median in Colorado's box plot.
- E) The top 25% of weekly unit sales in Colorado has less variation than the top 25% of weekly sales in Florida. If the upper quartile is closer to the maximum value in the box plot for Colorado, this would indicate less variation.
Each of these points can be validated by closely examining the box plots in question.