Given a normal distribution with mean 120 and standard deviation 5, find the number of standard deviations the measurement is from the mean. Express the answer as a positive number. Round the answer to the nearest hundredth.
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Answer: The value of standard deviation, away from mean is calculated by the formula, X = µ ± Zσ The standard deviation can be considered as the average difference (positive difference) between an observation and the mean. Explanation: Let Z denote the amount by which the standard deviation defer from mean.Conclusion. In a normally distributed data set, you can find the probability of a particular event as long as you have the mean and standard deviation. With these, you can calculate the z-score using the formula z = (x – μ (mean)) / σ (standard deviation).
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