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.