Distribution of Blocked Shots in the NBA The variable Blocks in the dataset NBAPlayers 2015 includes information on the number of blocked shots during the season for each of the 182 players in the dataset.

(a) Use technology to find the mean and the standard deviation of the number of blocked shots.

(b) Use technology to find the five number summary for the same variable.

(c) Which set of summary statistics, those from part

(a) or part (b), is more resistant to outliers and more appropriate if the data are heavily skewed?

(d) Use technology to create a graph of the data in Blocks and describe the shape of the distribution.

(e) Is it appropriate to use the $95 %$ rule with these data? Why or why not?

Refer to the dataset NBAPlayers2015, which contains information on many variables for players in the NBA (National Basketball Association) during the 2014-2015 season. The dataset includes information for all players who averaged more than 24 minutes per game, and includes $n=182$ players and 25 variables.

NBAPlayers2015

 Data for 182 NBA basketball players from the 2014–2015 regular season. Includes all players who averaged more than 24 minutes per game that season.

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Age Team Games Starts Mins MinPerGame Player Pos Name of player Position (PG=point guard, SG = shooting guard, PF = power forward, SF small forward, C = center) Age (in years) Team name Games played (out of 82) Games started Minutes played Minutes per game FGMade Field goals made FGAttempt Field goals attempted FGPct Field goal percentage FG3Made FG3Attempt FG3Pct FTMade Three-point field goals made Three-point field goals attempted Three-point field goal percentage Free throws made FTAttempt Free throws attempted FTPct Free throw percentage OffRebound Offensive rebounds DefRebound Rebounds Total rebounds Assists Steals Defensive rebounds Number of assists Number of steals Blocks Number of blocked shots Turnovers Number of turnovers Fouls Number of personal fouls Points Number of points scored