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Eleventh Grade (Grade 11) Collecting and Interpreting Data Questions

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Grade 11 Collecting and Interpreting Data CCSS: HSS-ID.A.4
Which of the following is true about the mean, median, and mode of a normal distribution?
  1. They are all equal.
  2. The mean and median are always equal, but the mode is either greater or less than them.
  3. The mode and median are always equal, but the mean is usually less than them.
  4. They may or may not be equal; there is no general rule.
Grade 11 Collecting and Interpreting Data CCSS: HSS-ID.A.4
Which of the following is about a normal distribution?
  1. About half the values are greater than the mean.
  2. Most of the data is less than the mean.
  3. Most of the data is greater than the mean.
  4. More than 90% of the data is greater than the mean plus 2 standard deviations.
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.3
Which of the following best describes the effect of removing an outlier on the mode of a data set?
  1. If the outlier is the minimum value, the mode may decrease; and if the outlier is the maximum value, the mode may increase.
  2. If the outlier is the minimum value, the mode may increase; and if the outlier is the maximum value, the mode may decrease.
  3. The mode will not be affected by the removal of an outlier.
  4. The mode will change, but whether it increases or decreases does not depend on whether the outlier is a maximum or minimum value of the data set.
Grade 11 Collecting and Interpreting Data CCSS: HSS-ID.A.3
Which of the following best describes the effect of removing an outlier on the standard deviation of a data set?
  1. If the outlier is the minimum value, the standard deviation will decrease; and if the outlier is the maximum value, the standard deviation will increase.
  2. If the outlier is the minimum value, the standard deviation will increase; and if the outlier is the maximum value, the standard deviation will decrease.
  3. The standard deviation will increase, regardless of the outlier's value (maximum or minimum).
  4. The standard deviation will decrease, regardless of the outlier's value (maximum or minimum).
Grade 11 Collecting and Interpreting Data CCSS: HSS-ID.A.3
Which of the following best describes the effect of removing an outlier on the median of a data set?
  1. If the outlier is the minimum value, the median may decrease; and if the outlier is the maximum value, the median may increase.
  2. If the outlier is the minimum value, the median may increase; and if the outlier is the maximum value, the median may decrease.
  3. The median will not be affected by the removal of an outlier.
  4. The median will change, but whether it increases or decreases does not depend on whether the outlier is a maximum or minimum value of the data set.
Grade 11 Collecting and Interpreting Data CCSS: HSS-ID.A.3
For a right-skewed, unimodal data distribution, which of the following is generally true?
  1. Median < Mode < Mean
  2. Mode < Median < Mean
  3. Mean < Median < Mode
  4. Mean < Mode < Median
Grade 11 Collecting and Interpreting Data CCSS: HSS-ID.A.3
For a left-skewed, unimodal distribution, which of the following is generally true?
  1. Mode < Median < Mean
  2. Median < Mean < Mode
  3. Mean < Mode < Median
  4. Mean < Median < Mode
Grade 11 Collecting and Interpreting Data CCSS: HSS-ID.A.3
Which of the following best defines skewness?
  1. The measure of the asymmetry of a distribution.
  2. The measure of the bias of a distribution.
  3. The measure of the height of a distribution.
  4. The measure of how the mode of a distribution compares to the range.
Grade 11 Collecting and Interpreting Data CCSS: HSS-ID.A.3
Which of the following best describes the approximate shape of this histogram?
Histogram 3
  1. Symmetric Unimodal
  2. Skewed Right
  3. Skewed Left
  4. Uniform
Grade 11 Collecting and Interpreting Data CCSS: HSS-ID.A.2
Which of the following is true for the two data sets?

A = {0, 4, 5, 7, 8, 10, 12, 13, 15, 16, 20}

B = {0, 1, 8, 9, 9.5, 10, 10.5, 11, 12, 19, 20}
  1. The IQRs and standard deviations are equal.
  2. The IQR and standard deviation of set A are greater than those of set B.
  3. The IQR and standard deviation of set B are greater than those of set A.
  4. The IQR of set A is greater than that of set B, but the standard deviation of set B is greater than that of set A.
Grade 11 Collecting and Interpreting Data
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