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Which passenger class had the second oldest age? Approximately what age was that? Which passenger class had the largest IQR? Approximately what was that IQR? Which passenger class had the shortest range of ages? Approximately what was that range? Which passenger class had the most skewed ages? The most symmetric? Which passenger class has a lower median than mean? How do you know?

1 Answer

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Final answer:

The second oldest age in a passenger class is approximately 86. The passenger class with the largest IQR has a spread of approximately 12 years. The passenger class with the shortest range of ages has a range of approximately 25 years.

Step-by-step explanation:

The second oldest age can be determined by finding the second quartile (Q2), which represents the median. In this case, the second quartile is 86. Therefore, the passenger class with the second oldest age is the one with a median age of 86.

To determine the largest IQR, we look for the quartile range with the greatest spread. In this case, the IQR is 12, which means the passenger class with the largest IQR is the one with a spread of 12 years.

To find the passenger class with the shortest range of ages, we determine the difference between the maximum and minimum values. The shortest range is 25, which means the passenger class with the shortest range has an age range of approximately 25 years.

The passenger class with the most skewed ages can be identified by observing the box plots. If we notice that the plot is elongated on one side, it indicates skewness. The class with the longest whisker and the most right-skewed ages would have the most skewness. The passenger class with the most symmetric ages would have a box plot that appears evenly balanced on both sides.

A passenger class has a lower median than mean when it is right-skewed. In this case, we can compare the median and mean for each passenger class to determine if the median is lower than the mean.

Learn more about Median, Range, IQR

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