A standard score, or z score is the number of standard deviations that a given v

Question

A standard score, or z score is the number of standard deviations that a given value of x is above or below the mean. Z = x - x -/s Ordinary values -2 lessthanorequalto z score s lessthanorequalto 2 Unusual values z score 2 Women's heights have a mean of 63.6 in. and a standard deviation of 2.5 in. Calculate the z score corresponding to a woman with a height of 70 in. and determine whether that height is unusual. For men aged 18 to 24 years, cholesterol levels have a mean of 178.1 and a standard deviation of 40.7. Calculate the z score corresponding to a male 20 years old who has a cholesterol level of 259. Is this level unusually high?

Explanation / Answer

1. Z score is (70-63.6)/2.5=2.56, the height is 2.56 standard deviations away from the mean. If we consider that the heights that are 2 standard deviations away are unusual then yes this height is unusual

2. Z score is (259-178.1)/40.7= 1.98, not unusual

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