Student Notes: Standard Deviation, Normal Distributions and Z-score. SOL A2.T11
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Find the z-score corresponding to a raw score of 128 from a normal distribution with
a mean of 104 and a standard deviation of 17. Outlier?
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Find the z-score corresponding to a raw score of 98 from a normal distribution with a
mean of 104 and a standard deviation of 17. Outlier?
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Find the z-score corresponding to a raw score of 160 from a normal distribution with
a mean of 104 and a standard deviation of 17. Outlier?
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A z-score of 1.7 was found from an observation from a normal distribution with a mean of 14 and a standard deviation of 3. Find the raw score.
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A set of mathematics exam scores has a mean of 70 and a standard deviation of 8. A set of English exam scores has a mean of 74 and a
standard deviation of 16. For which exam would a score of 78 have a higher standing?
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For a distibution of raw scores with a mean of 45, the Z-score for a raw score of 55 is calculated to be -2.00. Regardless of the value of the
standard deviation, why must this Z-score be incorrect?
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In a population of scores a raw score with the value of 83 corresponds to a Z of 1.00 and a raw score of 86 corresponds to a Z of 2.00.
What is the mean and standard deviation?
24. On a statistics exam, you have a score of 73. If the mean of the exam is 65 would you prefer the standard deviation of the scores to be 8 or 16?
Why?