The z-score for each of the locations in the distribution are: Above the mean by 5 points 0.5, Above the mean by 2 points 0.2, Below the mean by 20 points -2, Below the mean by 15 points -1.50.
<h3>Z-score</h3>
a. Above the mean by 5 points.
z = (x-μ)/σ
z = (μ + 5– μ / 10
z = 0.5
b. Above the mean by 2 points.
z = (x-μ)/σ
z = (μ+ 2 – μ) / 10
z= 0.2
c. Below the mean by 20 points.
z = (x-μ)/σ
z = (μ - 20 – μ) / 10
z= -2
d. Below the mean by 15 points.
z = (x-μ)/σ
z = (μ - 15 – μ) / 10
z= -1.50
Therefore the z-score for each of the locations in the distribution are: Above the mean by 5 points 0.5, Above the mean by 2 points 0.2, Below the mean by 20 points -2, Below the mean by 15 points -1.50.
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The complete question is:
A distribution has a standard deviation of o=10. Find the z-score for each of the following locations in the distribution.
a. Above the mean by 5 points.
b. Above the mean by 2 points.
c. Below the mean by 20 points.
d. Below the mean by 15 points.
