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Common Core Standard HSS-ID.A.2 Questions

Use statistics appropriate to the shape of the data distribution to compare center (median, mean) and spread (interquartile range, standard deviation) of two or more different data sets.

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Grade 9 Box Plots CCSS: HSS-ID.A.1, HSS-ID.A.2

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What is the IQR and range for each method?
Grade 11 Collecting and Interpreting Data CCSS: HSS-ID.A.2
Which of the following is true about the two data sets?

A = {1, 1.25, 1.5, 1.5, 1.5, 1.75, 2}

B = {1, 1.1, 1.3, 1.6, 1.8, 1.9, 2}
  1. The means and standard deviations are equal.
  2. The means are equal, but the standard deviation of set B is greater than that of set A.
  3. The standard deviations are equal, but the mean of set B is greater than that of set A.
  4. The mean and standard deviation of set B are greater than those of set A.
Grade 11 Collecting and Interpreting Data CCSS: HSS-ID.A.2

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In which city are books less expensive, Picton or Capetown? Explain your answer.
Grade 11 Collecting and Interpreting Data CCSS: HSS-ID.A.2

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In which city are book prices more similar, for a given book, at different bookstores? Explain your answer.
Grade 9 Line Plots CCSS: HSS-ID.A.1, HSS-ID.A.2

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What is the typical test score for each test? Justify your answer.
Grade 11 Collecting and Interpreting Data CCSS: HSS-ID.A.2
Which of the following is true for the two data sets?

A = {-8, -7, -6, -5, -4}

B = {9, 10, 11, 12, 13}
  1. The medians and IQRs are equal.
  2. The medians are equal, but the IQR of set B is greater than that of set A.
  3. The IQRs are equal, but the median of set B is greater than that of set A.
  4. The median and IQR of set B are greater than those of set A.
Grade 10 Range, Median, Mean, and Mode CCSS: HSS-ID.A.2

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What is the range of the data?
  1. 10
  2. 8
  3. 7
  4. 6
Grade 11 Collecting and Interpreting Data CCSS: HSS-ID.A.2
Which of the following is true about the two data sets?

A = {0, 0.1, 0.2, 0.3, 0.4, 0.5}

B = {0, 0.1, 0.15, 0.4, 0.45, 0.5}
  1. The medians and IQRs are equal.
  2. The medians are equal, but the IQR of set B is greater than that of set A.
  3. The IQRs are equal, but the median of set B is greater than that of set A.
  4. The median and IQR of set B are greater than those of set A.
Grade 10 Range, Median, Mean, and Mode CCSS: HSS-ID.A.2

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What is the median of the data?
  1. 4
  2. 5
  3. 5.5
  4. 6
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 10 Range, Median, Mean, and Mode CCSS: HSS-ID.A.2

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What is the mean of the data? Round the answer to the nearest tenth, if necessary.
  1. 4.9
  2. 5.8
  3. 6.1
  4. 9.8
Grade 11 Collecting and Interpreting Data CCSS: HSS-ID.A.2
Which of the following is true about the two data sets?

A = {5, 6, 6, 7, 9, 9.5, 10}

B = {5, 5.5, 6, 8, 9, 9, 10}
  1. The means and medians are equal.
  2. The means are equal, but the median of set B is greater than that of set A.
  3. The medians are equal, but the mean of set B is greater than that of set A.
  4. The mean and median of set B are greater than those of set A.
Grade 11 Collecting and Interpreting Data CCSS: HSS-ID.A.2
Standard deviation is best described as
  1. the difference between the number and the mean.
  2. the sum of the differences between the numbers and the mean.
  3. the square root of the sum of the differences between the numbers and the mean squared and divided by the number of terms.
  4. the square root of the mean divided by the Z-Score times the sum of the numbers.
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