Question

justin packed two suitcases for his trip and compared the weights of the items he packed in each of the suitcases.
weights of the items in the two suitcases (in ounces)
suitcase 1
suitcase 2
which statement is true about the box plots?
○ the data for suitcase 1 have an outlier, but the data for suitcase 2 does not.
○ the data for suitcase 2 have a greater median than the data for suitcase 1.
○ the data for suitcase 1 has a greater interquartile range than the data for suitcase 2.
○ the data for suitcase 2 has a greater range than the data for suitcase 1.

Explanation:

Step1: Identify key box plot values

For Suitcase 1: Median = 10, IQR = 12-8=4, Range = 16-8=8
For Suitcase 2: Median = 8, IQR = 16-4=12, Range = 20-0=20

Step2: Evaluate each option

• Outliers: No outliers marked for either.
• Median: Suitcase 1 median (10) > Suitcase 2 (8).
• IQR: Suitcase 1 IQR (4) < Suitcase 2 (12).
• Range: Suitcase 2 range (20) > Suitcase 1 (8).

Answer:

The data for suitcase 2 has a greater range than the data for suitcase 1.