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: Analyze the inter - quartile range (IQR)

The IQR is a measure of spread, but it doesn't directly indicate overall success. A less spread - out IQR just means the middle 50% of data is more clustered.

Step2: Analyze the total spread

The total spread (range) also doesn't directly show which class is more successful. It just shows the difference between the maximum and minimum values.

Step3: Analyze the statement about winning at least one event

Winning at least one event is a very low - level statement and doesn't show greater success compared to other measures.

Step4: Analyze the quartile comparison

If Mr. Roland's class's lower quartile (Q1) is the same as Mrs. Cai's class's upper quartile (Q3), it means that 75% of Mrs. Cai's data is less than or equal to Q3 (which is equal to Mr. Roland's Q1). So, 75% of Mr. Roland's class's data is above 75% of Mrs. Cai's class's data. This is a strong indication 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.