Question

In: Statistics and Probability

A basketball player's average number of points per game (PPG) for each of his seasons is...

A basketball player's average number of points per game (PPG) for each of his seasons is given in the table below. Find the sample standard deviation of the average points per game made per season by the basketball player. (Round your answer to one decimal place.) Incorrect: Your answer is incorrect. PPG Season PPG 1984-85 33.4 1985-86 27.2 1986-87 29.4 1987-88 26.9 1988-89 20.4 1989-90 23.7 1990-91 30.1 1991-92 32.8 Season PPG 1992-93 27.1 1994-95 24.9 1995-96 33.2 1996-97 26.8 1997-98 22.7 2001-02 37.9 2002-03 34.4

Solutions

Expert Solution

Here is the table

PPG season PPG
1984-85 33.4
1985-86 27.2
1986-87 29.4
1987-88 26.9
1988-89 20.4
1989-90 23.7
1990-91 30.1
1991-92 32.8
1992-93 27.1
1994-95 24.9
1995-96 33.2
1996-97 26.8
1997-98 22.7
2001-02 37.9
2002-03 34.4

Here sample mean = = =  430.9/15 = 28.7267

Variance of the average points per game made per season by the basketball player=

s2 = 1/(n-1) [

= 23.9078

stnaddrd deviation of the average points per game = s =4.89 or 4.9 points

sample standard deviation of the average points per game made per season by the basketball player = 4.9 points


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