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 0 1 2 3 4 5 6 7 8 9 10 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: Understand box - plot statistics

Box - plots show minimum, lower quartile (Q1), median (Q2), upper quartile (Q3), and maximum values. Greater success can be measured by higher median or quartile values.

Step2: Analyze each option

• Option 1: Inter - quartile range (IQR = Q3 - Q1) being less spread out doesn't necessarily mean more success. It just shows data variability.
• Option 2: Greater total spread (range = maximum - minimum) doesn't directly imply more success.
• Option 3: Winning at least one event doesn't compare overall success well.
• Option 4: If Mr. Roland's class's lower quartile (Q1) is the same as Mrs. Cai's class's upper quartile (Q3), it means that at least 25% of Mr. Roland's class's data is as high as or higher than 75% 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.