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The z-score tells you

  • A.How far a data point is from the Mean in terms of Standard deviations
  • B.The percentage of values greater than the Mean
  • C.The likehood of a certain outcome
  • D.The average deviation of all data points

Answer: A

The z-score tells you how far a data point is from the Mean in terms of Standard deviations.

\(z = (x - \mu)/\sigma\). A z-score of 2 means the value is two standard deviations above the mean, and -1 one standard deviation below.

Percentages and likelihoods can be read from a z-table using the z-score, but the z-score itself is a distance in standard deviations, not a percentage or a probability, and not an average of deviations.

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