Consider the following vectors representing the number of
three-pointers made and attempted by a basketball player in five games:
Three-Pointers Made: c(4, 5, 3, 6, 7) Three-Pointers Attempted: c(9, 10,
8, 11, 12) Calculate the three-point shooting percentage for each game
and select the correct average three-point shooting percentage for the
five games.
#Three-Pointers Made:
three_made<-c(4, 5, 3, 6, 7)
#Three-Pointers Attempted:
three_attempted<-c(9, 10, 8, 11, 12)
avg_game<-round(three_made/three_attempted,3)
avg_game
[1] 0.444 0.500 0.375 0.545 0.583
overall_avg<-round(mean(avg_game),2)
overall_avg
[1] 0.49
avg_total<-round(sum(three_made)/sum(three_attempted),3)
avg_total
[1] 0.5
overall_avg (\(0.49\) / \(49\%\)): Represents the unweighted average
of the per-game percentages. It treats a game with 8 attempts the same
as a game with 12 attempts.avg_total (\(0.50\) / \(50\%\)): Represents the true cumulative
shooting percentage. It weights each attempt equally, making it the
standard metric for sports analytics.
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