Question

the box plots compare the number of students in mr. ishimoto’s classes and in ms. castillo’s classes over the last two semesters.
number of students in classes
mr. ishimoto’s class
ms. castillo’s 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: Analyze Range

Range is max - min. For Mr. Ishimoto: max - min (from plot, say max ~42, min ~28? Wait, no, looking at the plot, Mr. Ishimoto's whiskers: left whisker starts at ~28, right at ~42? Ms. Castillo: left at ~24, right at ~38. Wait, no, maybe I misread. Wait, the x - axis: 22,24,26,28,30,32,34,36,38,40,42. Mr. Ishimoto's box plot: left whisker (min) around 28, right whisker (max) around 42. Ms. Castillo's: min around 24, max around 38. Wait, no, maybe the other way. Wait, the upper box (Mr. Ishimoto) and lower (Ms. Castillo). Wait, maybe I made a mistake. Wait, let's re - check. The problem says "the box plots compare...". Let's check each option:

1. Both box plots show the same range: Range = max - min. Let's assume Mr. Ishimoto's min is 28, max is 42 (range 14). Ms. Castillo's min is 24, max is 38 (range 14). So range is same. So this could be true.

1. Both box plots show the same interquartile range (IQR): IQR = Q3 - Q1. The length of the box is IQR. Looking at the boxes, both boxes seem to have the same length (from Q1 to Q3). So IQR same.

1. The data for Mr. Ishimoto has an outlier: Outliers are outside 1.5*IQR from Q1 or Q3. The whiskers don't show any points outside, so no outlier. So this is false.

1. Mr. Ishimoto had the class with the greatest number of students: His max is higher (42 vs 38), so this is true.

So the true options are: Both box plots show the same range, Both box plots show the same interquartile range, Mr. Ishimoto had the class with the greatest number of students.

Answer:

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