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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
Which of the following best describes the box plot?
Box Plot 3
  1. Symmetric
  2. Skewed Right
  3. Skewed Left
  4. A box pot cannot described in this manner.
Grade 11 Collecting and Interpreting Data CCSS: HSS-ID.A.3
Which of the following values would change the LEAST by the removal of a single outlier from a data set?
  1. Range
  2. Standard Deviation
  3. IQR
  4. They would all be affected about the same.
Grade 11 Collecting and Interpreting Data CCSS: HSS-ID.A.3
What is the range of the data set?
  1. 0.7
  2. 1.2
  3. 1.3
  4. 2.9
Grade 11 Collecting and Interpreting Data CCSS: HSS-ID.A.3
Which of the following is true about skewed distributions?
  1. Skewed distributions rarely occur with real life data.
  2. The data of a skewed distribution can be transformed to reduce the skewness.
  3. Different degrees of skewness cannot be measured.
  4. If a distribution of real world data shows skewness, then the data is useless.
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 mean of a data set?
  1. If the outlier is the minimum value, the mean will decrease; and if the outlier is the maximum value, the mean will increase.
  2. If the outlier is the minimum value, the mean will increase; and if the outlier is the maximum value, the mean will decrease.
  3. The mean will increase, regardless of the outlier's value (maximum or minimum).
  4. The mean will decrease, regardless of the outlier's value (maximum or minimum).
Grade 11 Collecting and Interpreting Data CCSS: HSS-ID.A.3
What is the IQR of the data set?
  1. 0.2
  2. 0.4
  3. 0.5
  4. 0.6
Grade 11 Collecting and Interpreting Data CCSS: HSS-ID.A.3
The graph of a bimodal distribution has two distinct peaks.
  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 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
Only unimodal distributions can be 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 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.
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