Question

which statement is true about the box plots? select three options. both box plots show the same range. both box plots show the same interquartile range. the data for mr. ishimoto has an outlier. mr. ishimoto had the class with the greatest number of students. the smallest class size was 24 students. mr. ishimotos class ms. castillos class number of students in classes

Explanation:

Step1: Recall box - plot concepts

Box - plot shows minimum, first quartile ($Q_1$), median ($Q_2$), third quartile ($Q_3$) and maximum values. Range = Max - Min, Inter - quartile range (IQR)=$Q_3 - Q_1$.

Step2: Analyze the range

From the box - plots, we can see that the range for Mr. Ishimoto's class is larger than that of Ms. Castillo's class. So the statement "Both box plots show the same range" is false.

Step3: Analyze the inter - quartile range

The length of the box (which represents the IQR) for both box plots is different. So the statement "Both box plots show the same inter - quartile range" is false.

Step4: Analyze the minimum value

The minimum value on the box - plot for Ms. Castillo's class is 22 and for Mr. Ishimoto's class is 24. So the statement "The smallest class size was 24 students" is false.

Step5: Analyze the maximum value

By looking at the box - plots, Mr. Ishimoto's box - plot has a larger maximum value, which means Mr. Ishimoto had the class with the greatest number of students.

Step6: Analyze for outliers

There is no indication of an outlier in the box - plot for Mr. Ishimoto's data.

Answer:

Mr. Ishimoto had the class with the greatest number of students.