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 mr. rolands class number of events won on field day 0 1 2 3 4 5 6 7 8 9 10 o mrs. cais class was more successful because her interquartile range was less spread out. o mrs. cais class was more successful because she had the greater total spread. o mr. rolands class was more successful because his class always won at least one event. o mr. rolands class was more successful because his classs lower quartile was the same as mrs. cais classs upper quartile.

Explanation:

Step1: Recall box - plot concepts

The inter - quartile range (IQR) is a measure of spread, and the median represents the middle value. A higher median and a reasonable spread can indicate more success.

Step2: Analyze the box - plots

For Mr. Roland's class, the box - plot shows a higher median (around 5) compared to Mrs. Cai's class (around 2). The IQR for Mr. Roland's class is also reasonable. A greater total spread can also be an indication of more success in terms of winning more events over the years.

Answer:

Mrs. Cai's class was more successful because she had the greater total spread.