Question

compare the box plots for two data sets. which statement is true? box plots for set a and set b with a number line from 20 to 40 the ranges for both sets are equal. the range for set b is greater than the range for set a. the median for set a is greater than the median for set b. the medians for both sets are equal.

Explanation:

Step1: Calculate Set A range

Range = Max - Min = $36 - 20 = 16$

Step2: Calculate Set B range

Range = Max - Min = $38 - 24 = 14$

Step3: Identify Set A median

Median = middle line of box = $30$

Step4: Identify Set B median

Median = middle line of box = $30$

Step5: Verify each statement

• Ranges equal? $16

eq 14$ → False

• Set B range > Set A? $14 < 16$ → False
• Set A median > Set B? $30 = 30$ → False
• Medians equal? $30 = 30$ → True

Answer:

The medians for both sets are equal.