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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 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
Grade 11 Range, Median, Mean, and Mode CCSS: HSS-ID.A.3
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.
Grade 11 Collecting and Interpreting Data CCSS: HSS-ID.A.3
Which of the following best describes this histogram?
1. Symmetric Unimodal
2. Right Skewed
3. Left Skewed
4. Uniform
Grade 11 Collecting and Interpreting Data CCSS: HSS-ID.A.3
Which of the following statements is true, concerning the removal of a single outlier on the range, IQR, and standard deviation of any given data set?
1. The IQR will usually be the least affected by the removal of an outlier.
2. The standard deviation and IQR will usually be nearly equally affected by the removal of an outlier.
3. The IQR will never be affected by the removal of an outlier.
4. The greater the distance between the mean and the outlier, the greater the decrease in all three measures of spread after the outlier's removal.
Grade 9 Line Plots CCSS: HSS-ID.A.1, HSS-ID.A.3

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Grade 11 Collecting and Interpreting Data CCSS: HSS-ID.A.3
Which of the following best describes the shape of this histogram?
1. Symmetric Unimodal
2. Right Skewed
3. Left Skewed
4. Uniform
Grade 11 Box Plots CCSS: HSS-ID.A.3
Grade 9 Line Plots CCSS: HSS-ID.A.1, HSS-ID.A.3

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Grade 11 Collecting and Interpreting Data CCSS: HSS-ID.A.3
Which of the following best describes the approximate shape of this histogram?
1. Symmetric Unimodal
2. Skewed Right
3. Skewed Left
4. Uniform
Grade 11 Collecting and Interpreting Data CCSS: HSS-ID.A.3
Grade 11 Range, Median, Mean, and Mode CCSS: HSS-ID.A.3
Grade 11 Box Plots CCSS: HSS-ID.A.1, HSS-ID.A.3
Grade 9 Histograms CCSS: HSS-ID.A.1, HSS-ID.A.3

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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
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