Question

the box plot compares the number of events that mrs. cais and mr. rolands classes won over the last 10 years on the schools field day. number of events won on field day mrs. cais class mr. rolands class based on the data in the box plots, what is the best evidence to show which class has had greater success on field day over the last 10 years? mrs. cais class was more successful because her interquartile range was less spread out. mrs. cais class was more successful because she had the greater total spread. mr. rolands class was more successful because his class always won at least one event. mr. rolands class was more successful because his classs lower quartile was the same as mrs. cais classs upper quartile.

Explanation:

Step1: Analyze box - plot concepts

The inter - quartile range (IQR) shows the spread of the middle 50% of the data. A smaller IQR means less variability in the middle data, but it doesn't directly show overall success. The total spread is the range (maximum - minimum), but it can be affected by outliers and doesn't best measure success. Winning at least one event doesn't comprehensively show greater success.

Step2: Compare quartiles

If Mr. Roland's class's lower quartile is the same as Mrs. Cai's class's upper quartile, it means that at least 25% of Mr. Roland's class's data is at or above the top 25% of Mrs. Cai's class's data. This is strong evidence of greater success.

Answer:

Mr. Roland's class was more successful because his class's lower quartile was the same as Mrs. Cai's class's upper quartile.