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Question 1182494: 1. In a normal distribution, a data value located 0.6 standard deviations below the mean has Standard Score: z =
2. In the normal distribution, a data value located 2 standard deviations above the mean has Standard Score: z =
3. In a normal distribution, the mean has Standard Score: z =
Answer by math_tutor2020(3817)   (Show Source):
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Answers:
1. In a normal distribution, a data value located 0.6 standard deviations below the mean has Standard Score: z = -0.6
2. In the normal distribution, a data value located 2 standard deviations above the mean has Standard Score: z = 2
3. In a normal distribution, the mean has Standard Score: z = 0
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Explanation:
The z score tells us the distance, in terms of standard deviation, the raw score is from the mean. Negative z values are below the mean, while positive ones are above the mean.
Something like z = 3 indicates we're 3 standard deviation units above the mean.
Something like z = -2.7 indicates we're 2.7 standard deviation units below the mean.
The value z = 0 itself is the center of the standard normal distribution (it's the mean mu).
The sigma value for the standard normal Z distribution is sigma = 1
sigma = population standard deviation
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