Guidelines for comparing boxplots
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- Wilfrid Harrell
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1 Comparing Data Sets Project IMP I Name When using boxplots to compare two or more batches of data, it is usually best to compare individual features in a methodical way. You may find the following guidelines helpful. Guidelines for comparing boxplots. Compare the respective medians, to compare location.. Compare the interquartile ranges (that is, the box lengths), to compare dispersion (how spread out the data is).. Look for signs of skewness (lopsided data). If the data do not appear to be symmetric, does each batch show the same kind of asymmetry?. Look for potential outliers. Outliers are defined as being more than. times the distance of the interquartile range away from the end of the box (Q or Q). After discussing these features, general conclusions should be summarized briefly. Boxplots of family sizes The table below contains data on the sizes (numbers of children) of the completed families of two samples of mothers in Ontario. One sample of mothers had had fewer years of education than the other sample (six years or less for mothers in the first sample, and seven years or more for those in the other sample). (Less Education) Mother educated for six years or less 9 (More Education) Mother educated for seven years or more 9 9 Compare the two samples of data using the systematic approach outlined above. What conclusions can you draw about an association between education and family size?....
2 Archery: On different days, two archers record the number of bull s-eyes they score out of tries.. Make a box and whisker plot for each archer. Archer : Archer : Number of Bull s-eyes Compare the two samples of data using the systematic approach outlined above..... Which archer would you say is more consistent? Why?
3 The box and whisker plots below show the ages of the players on the New York Yankees and the Texas Rangers baseball teams during the season. Compare the two samples of data. (Combine the steps described above to create a paragraph describing how the sets of data compare) Based on your comparison, which team would you say is the older team. Explain. What percent of the Yankee s players are less than years old? Explain. What percent of the Ranger s players are less than years old? Explain.
4 When using histograms to compare two or more batches of data, it is also best to compare individual features in a methodical way. You may find the following guidelines helpful. Guidelines for histograms. Compare the respective medians, to compare location.. Compare the ranges and interquartile ranges to compare dispersion (how spread out the data is).. Look for signs of skewness. If the data do not appear to be symmetric, does each batch show the same kind of asymmetry? Compare any GAPS or CLUSTERS of data that appear in the histograms.. Compare the modes (most frequently occurring outcome). After discussing these features, general conclusions should be summarized briefly. The histograms below show the total number of points scored in games by the - Girls Cheney Cardinal Basketball Team. One histogram displays data from the home games, the other displays data from the away games. Cheney Girls Basketball - Total Points Scored in Home Games Cheney Cardinals Girls Basketball - Total Points Scored in Away Games Compare the two samples of data using the systematic approach outlined above..... Summary:
5 The histograms below show number of gallons of gas customers purchased at a gas station in each of two weeks. Gasoline Purchases - Week Gasoline Purchases - Week Compare the two samples of data using the systematic approach outlined above..... Summary:
6 The histograms below show the number of hits made per season by two baseball teams. Number of Hits - Blue Team Number of Hits - Red Team Compare the two samples of data. (Combine the steps described above to create a paragraph describing how the sets of data compare) Based on your comparison, which team would you say is has better hitters. Explain.
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