In: Statistics and Probability
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
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