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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.3
A study is being conducted to determine the total income of people who graduated from university within the past two years. After the data is collected, most values lie in the range of $40,000 to $50,000 dollars per year. One value stands out, which is a yearly income of $105,000. Which of the following would be a valid reason for removing this data point from the set? There may be more than one correct answer.
  1. One recent graduate received a very high paying job because of a family connection.
  2. The person with this income graduated from university several years ago.
  3. This person's income is actually the combination of income from three different jobs.
  4. This person never went to university, but is about the same age as other people in the study.
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.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
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 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 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 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.4
The shape that is made by a normal distribution of data is commonly referred to as
  1. a normal graph.
  2. a bell curve.
  3. a normal map.
  4. a deviation curve.
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.
Grade 11 Collecting and Interpreting Data CCSS: HSS-ID.A.4
What does a z-score of zero signify about the original value (or raw score)?
  1. The value is equal to the mean.
  2. The value insignificant.
  3. The value is highly improbable.
  4. The value does not lie on the standard normal curve.
Grade 11 Collecting and Interpreting Data CCSS: HSS-ID.A.4
Which of the following gives the best reason for why z-scores are used?
  1. It is impossible to interpret data without using z-scores.
  2. Z-scores allow non-normally distributed data to become normally distributed.
  3. Z-scores eliminate outliers, allowing for more accurate results.
  4. They simplify the analysis of normally distributed data.
Grade 11 Collecting and Interpreting Data CCSS: HSS-ID.A.4
Which of the following is true concerning z-scores?
  1. Z-scores are always positive.
  2. Z-scores are negative only when the population mean is negative.
  3. Z-scores are positive if the mean is less than the raw score, and negative if the mean is greater than the raw score.
  4. Z-scores are positive if the standard deviation is greater than the raw score, and negative if the standard deviation is less than the raw score.
Grade 11 Collecting and Interpreting Data CCSS: HSS-ID.A.4
Which of the following is true about calculating a z-score for data which is not normally distributed?
  1. There is no difference from normally distributed data.
  2. Although it can be computed, it may not have a typical (or any useful) meaning.
  3. It can be computed, but the formula is slightly different (one takes the square root of the usual z-score).
  4. It is impossible to compute the z-score for non-normally distributed data.
Grade 11 Collecting and Interpreting Data CCSS: HSS-ID.A.4
Which of the following best defines a z-table?
  1. A table which gives the probabilities of various z-scores occurring.
  2. A table which gives the probabilities of various z-scores being less than or greater than the mean.
  3. A table which gives the percentage of values within one standard deviation of a certain z-score.
  4. A table which gives the percentage of values between 0 (or positive/negative infinity) and a certain z-score.
Grade 11 Collecting and Interpreting Data CCSS: HSS-ID.A.4
Which of the following is/are true for the standard normal distribution? Choose all correct answers.
  1. 34% of the values are between 0 and 1.
  2. 95% of the values are between -2 and 2.
  3. About 50% of the values are less than 6.
  4. About 100% of the values are greater than -7.
Grade 11 Collecting and Interpreting Data CCSS: HSS-ID.A.4
Which of the following best defines a standard normal distribution?
  1. A normal distribution with [math]mu = 0[/math] and [math]sigma =1[/math].
  2. A normal distribution with [math]mu = 1[/math] and [math]sigma = 0[/math].
  3. A normal distribution with [math]mu=1[/math] and [math]sigma=1[/math].
  4. A normal distribution with [math]mu = 0[/math] and [math]sigma = 0[/math].
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