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Common Core Standard HSS-ID.A.3 Questions

Interpret differences in shape, center, and spread in the context of the data sets, accounting for possible effects of extreme data points (outliers).

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Grade 11 Collecting and Interpreting Data CCSS: HSS-ID.A.3
A uniform distribution is symmetric.
  1. True
  2. False
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
What is the range of the data set, with the outlier(s) removed?
  1. 0.6
  2. 0.7
  3. 1.2
  4. 1.3
Grade 11 Collecting and Interpreting Data CCSS: HSS-ID.A.3
The peaks in a graph of a bimodal distribution must be the same height.
  1. True
  2. False
Grade 11 Collecting and Interpreting Data CCSS: HSS-ID.A.3
Which of the following is an effective way to visualize outliers?
  1. Histogram
  2. Dot Plot
  3. Box Plot
  4. All of the above.
Grade 11 Collecting and Interpreting Data CCSS: HSS-ID.A.3
What is the IQR of the data set, with the outlier(s) removed?
  1. 0.2
  2. 0.3
  3. 0.35
  4. 0.4
Grade 11 Range, Median, Mean, and Mode CCSS: HSS-ID.A.3
What is the mean of the data, rounded to the nearest tenth if necessary?
  1. 8.2
  2. 8.3
  3. 8.4
  4. 9.2
Grade 11 Collecting and Interpreting Data CCSS: HSS-ID.A.3
Identify any outliers in the following set using the IQR rule. There may be more than one correct answer.

{1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1}
  1. 0
  2. 2
  3. There are no outliers.
  4. The IQR rule cannot be used for this set.
Grade 11 Range, Median, Mean, and Mode CCSS: HSS-ID.A.3
What is the median of the data?
  1. 8
  2. 9
  3. 9.5
  4. 10
Grade 11 Collecting and Interpreting Data CCSS: HSS-ID.A.3
Which value changed the most (according to percentage increase or decrease)?
  1. Range
  2. IQR
  3. Standard Deviation
  4. They all changed by about the same amount.
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
A distribution, when graphed, cannot have more than two peaks.
  1. True
  2. False
Grade 11 Range, Median, Mean, and Mode CCSS: HSS-ID.A.3
What is the mode of the data?
  1. No mode.
  2. 9
  3. 10
  4. 14
Grade 11 Collecting and Interpreting Data CCSS: HSS-ID.A.3
Which value changed the least (according to percentage increase or decrease)?
  1. Range
  2. IQR
  3. Standard Deviation
  4. They all changed by about the same amount.
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