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Common Core Standard HSS-ID.A.4 Questions

Use the mean and standard deviation of a data set to fit it to a normal distribution and to estimate population percentages. Recognize that there are data sets for which such a procedure is not appropriate. Use calculators, spreadsheets, and tables to estimate areas under the normal curve.

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Grade 11 Collecting and Interpreting Data CCSS: HSS-ID.A.4
What does a z-score of zero signify about the original value (or raw score)?
  1. The value is equal to the mean.
  2. The value insignificant.
  3. The value is highly improbable.
  4. The value does not lie on the standard normal curve.
Grade 11 Collecting and Interpreting Data CCSS: HSS-ID.A.4
Why do most z-tables not include z-scores smaller than -4 or larger than 4?
  1. Such small or large z-scores are not possible.
  2. The percentage of values that are between a very small z-score and a very large z-score is negligible.
  3. The percentage of values that are less than a z-score of -4, or greater than 4, is negligible.
  4. It would make the tables too large. There are separate tables for such values.
Grade 11 Collecting and Interpreting Data CCSS: HSS-ID.A.4
Which of the following is true about the graph of a normal probability distribution? Choose all correct answers.
  1. The curve extends to negative infinity and positive infinity.
  2. The area under the curve equals 1.
  3. The maximum of the curve occurs at a value greater than zero.
  4. The slope of the curve is always positive.
Grade 11 Collecting and Interpreting Data CCSS: HSS-ID.A.4
Which of the following is true concerning graphs of normal distributions?
  1. They are never symmetric.
  2. They are symmetric if the mean is greater than the standard deviation.
  3. They are always symmetric about 0.
  4. They are always symmetric about the mean value.
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