Question

the parallel dotplots below display the number of absences for students in each of two classes. which of the following statements is true? the range for the distribution of the number of absences is larger for class d. the range for the distribution of the number of absences is larger for class c. the iqr for the distribution of the number of absences is larger for class d. the iqr for the distribution of the number of absences is larger for class c.

Explanation:

Step1: Recall range formula

Range = Maximum - Minimum

Step2: Find range for class D

For class D, maximum number of absences is 3, minimum is 0. Range of D = 3 - 0 = 3

Step3: Find range for class C

For class C, maximum number of absences is 10, minimum is 0. Range of C = 10 - 0 = 10

Step4: Recall IQR formula

IQR = Q3 - Q1 (quartile 3 - quartile 1)

Step5: Estimate IQR visually

Visually, the spread between Q1 and Q3 for class D is smaller than that for class C. But calculating exact IQR requires data - ordering which is not necessary as range comparison is conclusive. Since 10>3, the range for the distribution of the number of absences is larger for class C.

Answer:

The range for the distribution of the number of absences is larger for class C.