Question

for exercise 5, use the box - plot to answer the question. the box - plot shows the daily number of passengers on the noon train for one month. passengers on noon train. 5. what does comparing the range and interquartile range tell you about the number of passengers on the noon train?

Explanation:

The range shows the spread of all data values from minimum to maximum, while the inter - quartile range (IQR) shows the spread of the middle 50% of the data. A large difference between the range and IQR indicates that there are outliers or extreme values in the data set. In the context of the number of passengers, it means that while the overall spread of daily passenger numbers is large (range), the middle 50% of the daily passenger numbers are relatively less spread out (IQR), suggesting that a few days have very high or very low passenger counts compared to the typical middle - range days.

Answer:

Comparing the range and interquartile range shows that there are likely outliers in the data of the number of passengers on the noon train, as the overall spread (range) is larger than the spread of the middle 50% of the data (IQR).