5-nümbel sily. boxplot and the 15. Details Here are histograms for four manufact

Question

5-nümbel sily. boxplot and the 15. Details Here are histograms for four manufactur sets of numbers. The histograms look rather diffe but all four sets have the same 5-number summary ren t, , so the boxplots for all four sets are identical to the one shown. a) Using these plots as examples, identify some features of a distribution that a boxplot may not show. b) What does this tell you about the limitations of using a boxplot to assess the shape of a distribution? 10 - 16 18 20 22 24 26 28 30 32 34 36 38 10 16 18 20 22 24 26 28 30 32 34 36 38

Explanation / Answer

15

a)

A box plot can tell whether a data is symmetric or not and it can also tell whether the data is right-skewed or left-skewed. However, it would not be able to detect the shape of symmetry in a similar fashion a histogram would be able to detect.

b)

Box-plots would only be useful when one needs to clearly check what those five number summary is and also to a certain extent it would talk about the distribution but when it comes to shape of symmetry, it wont be able to distinguish between two distributions.

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