Consider a normally distributed data set with a mean of 154 and a standard deviation of 9.8. If one of the observed values is 176, what is the z score?

Question

Gianni Brooks

Mathematics

10 March, 22:06

Consider a normally distributed data set with a mean of 154 and a standard deviation of 9.8. If one of the observed values is 176, what is the z score?

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Ruth Brandt · Answer 1

The z-score is calculated as (x - m) / s, where x is the actual score, m is the mean, and s is the standard deviation. In this case, x = 176, m = 154, and s = 9.8. Therefore z can be calculated as: z = (176 - 154) / 9.8 = 2.245, and the z-score of 2.245 means that 176 is 2.245 standard deviations above the mean.