1. Below is a table showing the total points scored in recent Super Bowls and th

Question

1. Below is a table showing the total points scored in recent Super Bowls and the % change in the Dow Jones Industrial Average (DJIA) for the year between Super Bowls Total % change in DJIA YearWinner Points 56 38 65 51 52 34 5% 2011 Packers 2012 2013 2014 Seahawks 2015 Patriots 2016Broncos Giants Ravens 12% -6% 24% Calculate the following: (For your convenience this table is repeated on the next page.) *"Keep Y in % terms. Do not convert to decimal form. Median of the Total Points Scored- Mean of Total Points- Standard Deviation of Y Coefficient of Variation for X- Correlation Coefficient Between Total Points and the % Change in the DJIA The z-score corresponding to 62 total points (the number of points scored in this year's Super Bowl)

Explanation / Answer

median of the total points =(n+1)/2 th value =(6+1)/2 th value =3.5 th value =(51+52)/2 =51.5

mean of total points =49.3333

std deviation of Y =9.67%

coefficient of variation for X =(std deviation/mean)*100 =23.35%

correlation coefficient between total points and % change in DJIA =-0.4361

z score corresponding to 62 =(X-mean)/std deviation =(62-49.3333)/11.5181 =1.0997

please revert for any clarification required

( Note: for above calculations ; sample std deviation is taken )

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