Question

1. the boxplots below show the distribution of cooking times (in minutes) for two different types of thanksgiving pies, pumpkin and apple, based on data collected from a group of bakers. which of the following statements is not true based on the boxplots? (a) the median cooking time for apple pie is greater than the median cooking time for pumpkin pie. (b) the interquartile range (iqr) for apple pie is greater than the iqr for pumpkin pie. (c) the range of cooking times for apple pie is greater than the range of cooking times for pumpkin pie. (d) more than 25% of the pumpkin pies were cooked for a shorter time than the minimum cooking time for apple pie. (e) the maximum cooking time for pumpkin pie is greater than the maximum cooking time for apple pie.

Explanation:

• Option A: The median is the line inside the box. The box for Apple pie is to the right of Pumpkin pie's box, so its median is greater. This statement is true.
• Option B: IQR is the length of the box. The box for Apple pie is longer than Pumpkin pie's box, so its IQR is greater. This statement is true.
• Option C: Range is max - min. The whiskers for Apple pie (from ~40 to 75) have a larger spread than Pumpkin pie (from ~37 to ~55), so its range is greater. This statement is true.
• Option D: The minimum cooking time for Apple pie is around 40 minutes. The lower whisker of Pumpkin pie is below 40, and the box (representing the middle 50%) starts below 40. So more than 25% (the lower quartile) of Pumpkin pies have cooking times shorter than 40. This statement is true.
• Option E: The maximum cooking time for Pumpkin pie is around 55 minutes, and for Apple pie it's around 75 minutes. So Pumpkin pie's max is less than Apple pie's max. This statement is NOT true.

Answer:

E. The maximum cooking time for pumpkin pie is greater than the maximum cooking time for apple pie.