justin packed two suitcases for his trip and compared the weights of the items he packed in each of the…

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.

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.

Answer

Explanation:

Step1: Recall box - plot concepts

The box in a box - plot represents the inter - quartile range (IQR), the line inside the box is the median, and the whiskers show the range. An outlier is a data point that lies outside the whiskers.

Step2: Analyze outliers

There are no points outside the whiskers for either suitcase 1 or suitcase 2, so neither has an outlier.

Step3: Analyze medians

The median of suitcase 1 is around 10 and the median of suitcase 2 is around 8. So, the data for suitcase 1 has a greater median than the data for suitcase 2.

Step4: Analyze inter - quartile ranges

The IQR of suitcase 1 is from about 6 to 14 (IQR = 14 - 6=8), and the IQR of suitcase 2 is from about 4 to 12 (IQR = 12 - 4 = 8). So, they have the same IQR.

Step5: Analyze ranges

The range of suitcase 1 is from 0 to 32 (range = 32 - 0=32), and the range of suitcase 2 is from 0 to 28 (range = 28 - 0 = 28). So, the data for suitcase 1 has a greater range than the data for suitcase 2.

Answer:

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