Ashley's z-score for the given table is -1.2.
What is z-score?
''A z-score describes the position of a raw score in terms of its distance from the mean, when measured in standard deviation units. The z-score is positive if the value lies above the mean, and negative if it lies below the mean.''
From the given table, we can calculate the mean, median, mode and standard deviation.
Therefore, mean = (75 + 60 + 75 + 100 + 75 + 75 + 75 + 95 + 60 + 65) ÷ 10
= 75.5
Median = middle term when scores are arranged in ascending order
= middle term of {60, 60, 65, 75, 75, 75, 75, 75, 95, 100}
= 75
Mode = number that occurs highest in {60, 60, 65, 75, 75, 75, 75, 75, 95, 100} = 75.
Standard deviation = [tex][\sqrt{(x_1-x)^{2}+(x_2-x)^{2}+........+(x_n-x)^{2}]/n[/tex]
= [tex][\sqrt{(75-75.5)^{2}+(60-75.5)^{2}+........+(65-75.5)^{2}]/10[/tex]
= [tex]\sqrt{157.25}[/tex]
=12.54
Therefore, Ashley's Z-score = (Ashley's score - Mean)/ Standard Deviation
= (60 - 75.5)/12.54 = -1.2
Learn more about z-score here: https://brainly.com/question/17756962
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