number of students in classes\nmr. ishimotos class\nms. castillos class\n22 24 26 28 30 32 34 36 38 40…

number of students in classes\nmr. ishimotos class\nms. castillos class\n22 24 26 28 30 32 34 36 38 40 42\nwhich statement is true about the box plots? select three options.\nboth box plots show the same range.\nboth box plots show the same interquartile range.\nthe data for mr. ishimoto has an outlier.\nmr. ishimoto had the class with the greatest number of students.\nthe smallest class size was 24 students.
Answer
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.
Explanation:
Step1: Calculate range for each box - plot
Range = Maximum - Minimum. For Mr. Ishimoto's class, range = 40 - 22=18. For Ms. Castillo's class, range = 40 - 22 = 18.
Step2: Calculate inter - quartile range (IQR) for each box - plot
IQR = Q3 - Q1. For Mr. Ishimoto's class, Q1 = 28, Q3 = 34, IQR = 34 - 28 = 6. For Ms. Castillo's class, Q1 = 28, Q3 = 34, IQR = 34 - 28 = 6.
Step3: Check for outliers
There are no points outside the whiskers in either box - plot, so no outliers.
Step4: Compare maximum values
The maximum value for Mr. Ishimoto's class is 40 and for Ms. Castillo's class is 38, so Mr. Ishimoto had the class with the greatest number of students.
Step5: Check minimum values
The minimum value for both classes is 22, not 24.