The Berg Balance Scale (BBS), named after its developer Katherine Berg, is a popular clinical test of a person's static and dynamic balance abilities. It is scored on a scale of 0 to 56; the higher the value, the better the score. The cut-off score is 45, which means that a score less than 45 indicates a greater risk of falling. The file BBS_Older contains data for 20 older patients at a hospital:

The researchers then collect a new set of data, this time for 20 younger patients. Their findings are stored in the file BBS_Younger :

a. List the five-number summaries of the BBS values of the two samples.

b. Construct boxplots and describe the shapes of the distributions.

c. What similarities and differences are there in the distributions of the BBS values for younger and older people?

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43 40 32 38 32 34 46 33 39 34 48 42 9 49 40 40 35 40 40 39