Question

two semesters. number of students in classes mr. ishimotos class ms. castillos class 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.

Explanation:

Step1: Recall range formula

Range = Maximum - Minimum
For Mr. Ishimoto's class, maximum is 42 and minimum is 24, so range is $42 - 24=18$. For Ms. Castillo's class, maximum is 40 and minimum is 24, so range is $40 - 24 = 16$. So the first option is false.

Step2: Recall inter - quartile range (IQR) formula

IQR = Q3 - Q1. For both box - plots, Q1 is 30 and Q3 is 34, so IQR is $34 - 30=4$. Both box plots have the same IQR.

Step3: Check for outliers

There is no indication of any outliers in Mr. Ishimoto's box - plot.

Step4: Compare maximum values

The maximum value for Mr. Ishimoto's class is 42 and for Ms. Castillo's class is 40. So Mr. Ishimoto had the class with the greatest number of students.

Step5: Check minimum value

The smallest value in either box - plot is 24.

Answer:

B. Both box plots show the same interquartile range.
D. Mr. Ishimoto had the class with the greatest number of students.
F. The smallest class size was 24 students.