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.

Explanation:

Step1: Recall range formula

Range = Maximum - Minimum
For Mr. Ishimoto's class: Maximum = 40, Minimum = 26, Range = 40 - 26 = 14
For Ms. Castillo's class: Maximum = 38, Minimum = 22, Range = 38 - 22 = 16. So the ranges are different.

Step2: Recall inter - quartile range (IQR) formula

IQR = Q3 - Q1
For Mr. Ishimoto's class: Q1 = 30, Q3 = 36, IQR = 36 - 30 = 6
For Ms. Castillo's class: Q1 = 30, Q3 = 36, IQR = 36 - 30 = 6. So both box - plots have the same IQR.

Step3: Check for outliers

There are no individual points marked outside the whiskers for Mr. Ishimoto's data, so no outlier.

Step4: Compare maximum values

Mr. Ishimoto's maximum is 40 and Ms. Castillo's maximum is 38. So Mr. Ishimoto had the class with the greatest number of students.

Answer:

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