Question

The table on the right shows last initials of basketball players and the number of games...

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
Math   Statistics-And-Probability   
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Homework Answers

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.

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