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Find the z-score for the value 62, when the mean is 79 and the standard deviation is 4.
Solution:
A z-score measures exactly how many standard deviations above or below the mean data point is.
The formula to find z-score is given by
z = (data point - mean)/standard deviation
Some important facts about z-score,
- A positive z-score says that the data point is above average
- A negative z-score says that the data point is below average
- A z-score close to zero says that the data point is close to average
- A data point is considered unusual if its z-score is above 3 or below -3.
Given,
Mean, μ = 79
Standard deviation, 𝜎 = 4
Data point, x = 62
We know, z = (x - μ)/𝜎
z = (62 - 79)/4
z = -17/4
z = -4.25
Therefore, the z-score value is -4.25
Find the z-score for the value 62, when the mean is 79 and the standard deviation is 4.
Summary:
The z-score for the value 62, when the mean is 79 and the standard deviation is 4 is -4.25
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