Question

The table on the right shows last initials of basketball players and the number of games played by each. Find the z-score for player F's

games played.

What is player F's

z-score?

Player |
Games
Played |

A | 71 |

B | 81 |

C | 75 |

D | 77 |

E | 72 |

F | 82 |

G | 73 |

H | 79 |

J | 71 |

K | 82 |

Answer #1

First calculate mean and variance

Mean = = x/n = (71+81+75+77+72+82+73+79+71+82) /10

= 763/10

=76.3

Variance=^{2}
=
(x-x_bar) ^{2}/n

=
(71-76.3)^{2}+(81-76.3)^{2}+(75-76.3)^{2}+(77-76.3)^{2}+(72-76.3)^{2}+(82-76.3)^{2}+(73-76.3)^{2}+(79-76.3)^{2}
+(71-76.3)^{2}+(82-76.3)^{2}/10

=(28.09+22.09+1.69+0.49+18.49+32.49+10.89+7.29+28.09+32.49) /10

=18.21

=
^{2}
=
18.21= 4.27

Now calculate Z score for F

Z = x-/

= 82-76.3/4.27

z = 1.33

Hence z score for F is 1.33.

The table on the right shows last initials of basketball players
and the number of games played by each. Find the z-score for
player
F's
games played.
Player
Games Played
A
73
B
79
C
71
D
81
E
76
F
78
G
75
H
79
J
74
K
82

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85
76
80
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82
82
76
86
78
79
79
79
84
75
77
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79
73
74
79
77
77
75
75
75
81
76
79
79
80
74
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