The z-scores of the scores are -1.34, -0.73, 0.48, 0.48 and 1.10
The sample scores are given as:
2, 3, 5, 5, 6.
Calculate the mean and the standard deviation using a statistical calculator.
From the statistical calculator, we have:
[tex]\bar x = 4.2[/tex] --- mean
[tex]\sigma_x = 1.64[/tex] --- standard deviation
The z-score is then calculated using
[tex]z= \frac{x - \bar x}{\sigma}[/tex]
Where:
x = 2, 3, 5, 5, 6.
So, we have:
[tex]z_1= \frac{2 - 4.2}{1.64} = -1.34[/tex]
[tex]z_2= \frac{3 - 4.2}{1.64} = -0.73[/tex]
[tex]z_3= \frac{5 - 4.2}{1.64} = 0.48[/tex]
[tex]z_4= \frac{5 - 4.2}{1.64} = 0.48[/tex]
[tex]z_5= \frac{6 - 4.2}{1.64} = 1.10[/tex]
Hence, the z-scores of the scores are -1.34, -0.73, 0.48, 0.48 and 1.10
Read more about z-scores at:
https://brainly.com/question/25638875
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