The table show the gold medal Olympic times (in seconds) for the 200-meter run. Data are shown for the first five Olympics of the 1900s and five more recent Olympics in the 2000s. (Source: World Almanac and Book of Facts 2017)

a. Find and interpret (report in context) the mean and standard deviation of the winning times for the first five Olympics of the 1900s. Round to the nearest hundredth of a second.

b. Find the mean and standard deviation of the winning times for the more recent Olympics.

c. Compare the winning times of the early 1900s and the 2000s Olympics. Are recent winners faster or slower than those of the early 1900s? Which group has less variation in its winning times?

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Olympic Year Time Olympic Year Time 1900 22.2 2000 20.1 1904 21.6 2004 19.8 1908 22.6 2008 19.3 1912 21.7 2012 19.3 1920 22.0 2016 19.8