If a normal distribution has a mean of 104 and a standard deviation of 4 what is the z score for a value of 110
Answers
The z-score for 110 is 1.5
Step-by-step explanation:
Let us define z-score first
A z-score for a given value is the relationship of the value to the mean.
It tells us that how many standard deviations, a value is close or far from the mean. Let the value be x
The formula for calculating z-score is:
z-score = (x-μ)/σ
Given
Mean = μ = 104
SD = σ = 4
Putting the values in the formula
z = (110-104)/4
=6/4
=3/2 = 1.5
The z-score for 110 is 1.5
Keywords: Statistics, Mean
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