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    altha's Avatar
    altha Posts: 5, Reputation: 1
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    #1

    Feb 16, 2010, 12:46 PM
    how to calculate the standard score
    I have two questions that seem to be the same. One is if the mean is 3.5 and the standard deviation is .5 and Sally's score is 1.5. How many standard deviations is Sally from the mean? The other is if Billy's score is 5, what is his standard score? Don't both of these questions utilize the same formula? Z = x-means divided by the standard deviation?
    ebaines's Avatar
    ebaines Posts: 12,131, Reputation: 1307
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    #2

    Feb 16, 2010, 12:55 PM

    Yes, both use the same formula: Sally's "z-score" is (1.5-3.5)/0.5 = -4 sigma from the mean. Billy's z-score is (5-3.5)/0.5 = +3 sigma.
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