STATS:DATA+MODELS-W/DVD
STATS:DATA+MODELS-W/DVD
4th Edition
ISBN: 9780321986498
Author: DeVeaux
Publisher: PEARSON
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Chapter 4, Problem 1E
To determine

Compare and contrast the distributions of domestic load factor and international load factor.

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Explanation of Solution

The data represents the histogram and summary statistics for the load factors of domestic and international commercial airlines for every month from 2000 through September 2013.

Interpretation of the histogram of domestic load factor:

From the given histograms for the domestic load factor, the observed points are provided below:

  • The histogram consists of only one largest bar, which indicates the distribution of domestic load factor is unimodal.
  • The histogram shows that the length of the curve of the left hand tail is larger compared to the length of the curve of the right hand tail. Therefore, the latter reveals that the shape of the distribution is negatively skewed.

Interpretation of the histogram of international load factor:

From the given histograms for the international load factor, the observed points are provided below:

  • The histogram consists of only one largest bar, which indicates that the distribution of international load factor is unimodal.
  • The histogram shows that the length of the curve of the left hand tail is larger compared to the length of the curve of the right hand tail. Therefore, the latter reveals that the shape of the distribution is approximately left skewed.

Interpretation of the summary statistics of domestic and international load factors:

The median of the domestic load factor is 78.02 and the median of the international load factor is 77.98, the inter quartile range of the domestic load factor is 9.20, and the inter quartile range of the international load factor is 6.78.

Comparison and contrast:

  • The distributions of both the data sets of domestic and international load factors are unimodal with left skewed.
  • The distributions of international load factor may contain low outliers due to less variability.
  • Median is an appropriate measure of centre tendency. Here, the medians for both the distributions are close to each other, which says that the distributions of domestic load factor and international load factor are almost similar.

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