Chapter 2, Section 3, Exercise 118 Statisties for NBA Players in 2014-2015 The d

Question

Chapter 2, Section 3, Exercise 118 Statisties for NBA Players in 2014-2015 The dataset NBAPlayers2015 contains infor nation ? many variables for players in the NBA National Dasketball Associat n during the 2014-2015 seas n The dataset in udes if rm ation for all players who averaged more than mi utes per game, and includes 2 = players and 24 variables Which Accomplshment oN LeBron James is Most impressive? The table below shows the means and standard deviations for four of the variables in the NBAPlayers2015 dataset, FGPct is the field goal percentage, Points is total number of points scored during the season, Assists is total number of assists during the season, and Steals is total number of steals during the season. LeBron James had a field goal percentage ofr 0.488, scored 1743 points had 511 assists, and had 109 steals. 0453 915 205 67.5 Standard Deviation 0.054 357 149 33.6 Steals Table 1 Summary statistics on NBA players Click here for the dataset associated with this question. Find the 2-score for each of LeBrons statistics Round your answers to three decimal places 2-score tor -score for Points 2-score for z-score for Steals Use the 2-scores to determine, relative to the other players in the NBA that season, which statistic of LeSron's is the most impressive. Which is the least impressive? The most impressive statistic of Lebron's is The least impressive statistic of Lebron's is

Explanation / Answer

The formula for Z score is:

Z = ( x - u)/s

z score for FGPct = (0.488 - 0.453)/0.054 = 0.648

z score for points = (1743 - 915)/357 = 2.319

z score for Assists = (511 - 205)/149 = 2.054

z score for steals = (109 - 67.5)/33.6 = 1.235

So, the most impressive statistic is total points for the season, which was 2.319 standard deviations away from the NBA mean that season.

The least impressive statistic was field goal %, which was only 0.648 standard deviation away from the NBA mean.

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