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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.4
The graph of a normal distribution is plotted. However, the standard deviation used was incorrect. The actual standard deviation is larger than what was used. What will happen to the shape of the graph?
  1. It will become narrower and taller.
  2. It will become wider and shorter.
  3. It will become wider and taller.
  4. It will become narrower and shorter.
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.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 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
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
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
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
A distribution, when graphed, cannot have more than two peaks.
  1. True
  2. False
Grade 11 Collecting and Interpreting Data CCSS: HSS-ID.A.3
Which of the following is generally true for a roughly symmetric, unimodal data distribution (one with no skew)?
  1. Mean ≈ Median ≈ Mode
  2. Mean ≈ Median > Mode
  3. Mean ≈ Median ≈ Mode ≈ 0
  4. Mean ≈ Median < Mode
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