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12 November, 17:34

A normal distribution has a mean of 143 and a standard deviation of 12.7.

What is the z-score of 165?

1.62

1.73

1.87

2.04

+5
Answers (1)
  1. 12 November, 18:02
    0
    z-score for a value of 165 is + 1.73 times the standard deviation

    The correct answer is B. 1.73

    Step-by-step explanation:

    1. Let's review the information given to us to answer the question correctly:

    Mean of the normal distribution = 143

    Standard deviation = 12.7

    2. What is the z-score of 165?

    Let's recall that z-score in a normal distribution, positive or negative, is the number of times of the standard deviation a certain element is from the mean. If the element is below the mean, then the z-score is negative and if it's above the mean, then the z-score is positive.

    Therefore, 165 will have the following z-score:

    165 - 143 = 22 and it's above the mean.

    Now, we calculate the z-score, using the value of the standard deviation this way:

    22/12.7 = 1.73

    z-score for a value of 165 is + 1.73 times the standard deviation

    The correct answer is B. 1.73
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