![]() Find the z-score for the value “20” in this dataset. This means that the value “13” is exactly equal to the mean.ģ. Find the z-score for the value “13” in this dataset. This means that the value “8” is 0.91 standard deviations below the mean.Ģ. Find the z-score for the value “8” in this dataset. The sample mean of this dataset is 13 and the sample standard deviation is 5.51.ġ. ![]() Suppose we have the following dataset that shows the height (in inches) of a certain group of plants:ĥ, 7, 7, 8, 9, 10, 13, 17, 17, 18, 19, 19, 20 Where X is the value we are analyzing, μ is the mean, and σ is the standard deviation.Ī z-score can be positive, negative, or equal to zero.Ī positive z-score indicates that a particular value is greater than the mean, a negative z-score indicates that a particular value is less than the mean, and a z-score of zero indicates that a particular value is equal to the mean.Ī few examples should make this clear. ![]() We use the following formula to calculate a z-score: In statistics, a z-score tells us how many standard deviations away a value is from the mean.
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