Wednesday HW

Tonight please compare the puzzle completion times for males and females given the boxplots below (we also have this slide). 

BE SURE TO READ THESE BULLETS!

• Write your response in your notebook OR on separate paper--your decision. We'll go over this in class tomorrow to formalize an example for our notes.
• When we compare distributions we focus on the same elements as when we describe distributions--SOCS + Generally! And use context!
• For center, spread, and outliers you must use comparative language--words like higher, lower, faster, slower, bigger, smaller. If you described each distribution separately without any comparative language you would earn a score of 0.
• Here's a suggestion for how to write your response:
• First, describe the shape of each distribution (probably no comparative language there)
• Next, comment on outliers
• Now, COMPARE medians
• Then, COMPARE a measure of spread
• Be sure everything is written in context!
• Finally, wrap up with a comparative % statements--who completed the brain teasers faster? How do you know--using some type of %'s to support this statement.

Here's a sample response with a different set of boxplots.  The boxplots compare the ages of male and female Oscar winning actors from 1975 to 2004.



Shape:"The distribution of ages of Oscar winning actors from 1975 to 2004 is skewed right for both males and females.
Outliers: Both males and females have outliers, but the female winners have more outliers than females.
Center:The median age of male Oscar winners is higher--this suggests male Oscar winners are typically older.
Spread:Female Oscar winners have a wider range than that of the males--this suggests the ages of female Oscar winners vary more than males. (Or, you could say for spread--'the ages of male Oscar winners has a wider IQR--this suggests the ages of male Oscar winners vary more in the middle 50%'). 

Comparative % Statement: Generally, male Oscar winners are older than female Oscar winners--at least 50% of male Oscar winners were older than roughly 75% of female winners. (Or...'at least 75% of male Oscar winners were older than at least 50% of female winners).