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15 May, 12:09

If a population of a certain type of animal has a mean of 44cm and a standard deviation of 3 cm what is the z-score for a member of the population witha height of 38cm

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  1. 15 May, 13:28
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    The z-score is - 2

    Step-by-step explanation:

    Here, we are asked to calculate the z-score of the height.

    Mathematically, we can calculate z-score by using the formula below;

    z-score = (x-mean) / SD

    According to this question, mean = 44cm and SD = 3cm with x here = 38cm

    Plugging these values into the z-score equation, we have

    z-score = (38-44) / 3 = - 6/3 = - 2
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