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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. 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.
Step1: Understand box - plot metrics
In a box - plot, a greater spread of the box (inter - quartile range) can indicate more variability, but not necessarily more success. A higher upper - quartile or median can be an indication of greater success.
Step2: Analyze the box - plots
Looking at the box - plots, we see that Mrs. Cai's class has a higher upper - quartile. The upper - quartile represents the 75th percentile of the data. A higher upper - quartile means that 75% of Mrs. Cai's class won at least as many events as 75% of Mr. Roland's class, which is evidence of greater success.
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Mrs. Cai's class was more successful because she had the greater upper quartile.