Question

the box plots compare the number of students in mr. ishimotos classes and in ms. castillos classes over the last two semesters. number of students in classes mr ishimotos class ms. castillos class 22 24 26 28 30 32 34 36 38 40 42 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: Calculate range for each box - plot

Range = Maximum - Minimum. For Mr. Ishimoto's class, assume minimum is 22 and maximum is 40, so range is \(40 - 22=18\). For Ms. Castillo's class, assume minimum is 22 and maximum is 40, so range is \(40 - 22 = 18\).

Step2: Calculate inter - quartile range (IQR)

IQR = Q3 - Q1. Visually, for both box - plots, the length of the box (which represents IQR) is the same.

Step3: Check for outliers

There is no indication of an outlier (a point outside the whiskers) in Mr. Ishimoto's data.

Step4: Compare maximum values

The maximum value for Mr. Ishimoto's class (end of the right - hand whisker) is 40, which is the greatest value among all the data shown.

Step5: Check minimum value

The smallest value in either data set is 22, not 24.

Answer:

1. Both box plots show the same range.
2. Both box plots show the same interquartile range.
3. Mr. Ishimoto had the class with the greatest number of students.