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Suppose that weights of 5th grade elementary boys are normally distributed with mean µ =90 lbs and variance ó2 = 4 lbs. Find the weight that corresponds to Q3 and interpret this measure of position.

  • statistics -

    Q3 = 75th percentile

    Z = (score-mean)/SD

    Standard deviation = square root of variance

    Find table in the back of your statistics text labeled something like "areas under normal distribution" to find the Z score = mean + .25. Insert values into above equation and solve.

    I'll leave the interpretation to you.

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