The following tables present the numbers of viewers, in millions for the top 15 prime-time shows for the 2012–2013 and 2015–2016 seasons. The numbers of viewers include those who watched the program on any platform, including time-shifting up to seven days after the original telecast.

a. Find the population standard deviation of the ratings for 2012–2013.

b. Find the population standard deviation of the ratings for 2015–2016.

c. Compute the range for the ratings for both seasons.

d. Based on the standard deviations, did the spread in ratings increase or decrease over the two seasons?

e. Based on the ranges, did the spread in ratings increase or decrease over the two seasons?

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Top Rated TV Programs: 2012-2013 Program Rating NCIS 21.6 Sunday Night Football 21.0 The Big Bang Theory 19.0 NCIS: Los Angeles 17.5 Person of Interest 16.2 American Idol (Wednesday) 15.1 Dancing With the Stars (Monday) 15.0 American Idol (Thursday) 14.8 The Voice (Monday) 14.4 The Walking Dead 14.3 Dancing With the Stars (Tuesday) 14.0 Two and a Half Men The Voice (Tuesday) Blue Bloods Elementary 13.9 13.5 13.3 13.3