Answer:
The correct option is;
The data for suitcase 1 have an outlier but the data for suitcase 2 does not
Step-by-step explanation:
Range of a box plot
Interquartile range (IQR) for bot suitcases we have
Here we have for suitcase 1
IQR = Q₃ - Q₁ = 12 - 8 = 4
For suitcase 2
IQR = Q₃ - Q₁ = 18 - 5 = 13
Lower outlier = Q₁ - 1.5×IQR
Higher outlier = Q₃ + 1.5×IQR
For suitcase 1 we have;
Lower outlier = 8 - 1.5×4 = 2 (No lower outlier)
Higher outlier = 12 + 1.5×4 = 18
Hence, whereby the whiskers range from 4 to 30, suitcase 1 has a higher outlier
For suitcase 2 we have;
Lower outlier = 5 - 1.5×13 = -14.5 (No lower outlier)
Higher outlier = 18 + 1.5×13 = 37.5
Hence, whereby the whiskers range from 2 to 20, suitcase 2 has no outlier.
Therefore, the correct option is the data for suitcase 1 have an outlier but the data for suitcase 2 does not.
