The Kentucky Derby is held the first Saturday in May at Churchill Downs in Louisville, Kentucky. The racetrack is one and one-quarter miles. The following table shows the winners since 1990, their margin of victory, the winning time, and the payoff on a $2 bet.

a. Determine the mean and median for the variables winning time and payoff on a $2 bet.

b. Determine the range and standard deviation of the variables winning time and payoff on a $2 bet.

c. Refer to the variable winning margin. What is the level of measurement? What measure of location would be most appropriate?

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Winning Margin (lengths) Winning Time (mlnutes) Payoff on a $2 Win Bet Year Winner 1990 Unbridled 3.5 2.03333 10.80 1991 Strike the Gold 1.75 2.05000 4.80 LII E. Tee 1992 2.05000 16.80 1993 Sea Hero 2.5 2.04000 12.90 1994 Go For Gin 2.06000 9.10 1995 Thunder Gulch 2.25 2.02000 24.50 1996 Grindstone 2.01667 5.90 nose 1997 Silver Charm head 2.04000 4.00 1998 Real Qulet 0.5 2.03667 8.40 1999 Charismatic neck 2.05333 31.30 2.02000 2000 Fusalchi Pegasus 1.5 2.30 2001 Monarchos 4.75 1.99950 10.50 2002 War Emblem 4 2.01883 20.50 Funny Cide Smarty Jones 2003 1.75 2.01983 12.80 2004 2.75 2.06767 4.10 2005 Glacomo 0.5 2.04583 50.30 2006 2.02267 Barbaro 6.5 6.10 2007 Street Sense 2.25 2.03617 4.90 Big Brown Mine That Bird 2008 4.75 2.03033 6.80 2009 6.75 2.04433 103.20 18.00 2010 Super Saver 2.50 2.07417 2011 Animal Kingdom 2.75 2.034 43.80 2012 I'l Have Another 1.5 2.03050 32.60 2013 Orb 2.5 2.04817 12.80 2014 California Chrome 1.75 2.0610 7.00 2015 American Pharaoh 1.00 2.05033 7.80 2016 Nyquist 1.25 2.02183 6.60