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One-Variable Data Analysis Multiple Choice Practice Problems for AP Statistics

based on 2 ratings
By — McGraw-Hill Professional
Updated on Feb 5, 2011

Review the following concepts if necessary:

Problems

  1. The following list is ordered from smallest to largest: 25, 26, 26, 30, y, y, y, 33, 150. Which of the following statements is (are) true?
    1. The mean is greater than the median
    2. The mode is 26
    3. There are no outliers in the data
      1. I only
      2. I and II only
      3. III only
      4. I and III only
      5. II and III only
  2. Jenny is 5'10" tall and is worried about her height. The heights of girls in the school are approximately normally distributed with a mean of 5'5" and a standard deviation of 2.6". What is the percentile rank of Jenny's height?
    1. 59
    2. 65
    3. 74
    4. 92
    5. 97
  3. The mean and standard deviation of a normally distributed dataset are 19 and 4, respectively. 19 is subtracted from every term in the dataset and then the result is divided by 4. Which of the following best describes the resulting distribution?
    1. It has a mean of 0 and a standard deviation of 1.
    2. It has a mean of 0, a standard deviation of 4, and its shape is normal.
    3. It has a mean of 1 and a standard deviation of 0.
    4. It has a mean of 0, a standard deviation of 1, and its shape is normal.
    5. It has a mean of 0, a standard deviation of 4, and its shape is unknown.
  4. The five-number summary for a one-variable dataset is {5, 18, 20, 40, 75}. If you wanted to construct a modified boxplot for the dataset (that is, one that would show outliers if there are any), what would be the maximum possible length of the right side "whisker"?
    1. 35
    2. 33
    3. 5
    4. 55
    5. 53
  5. A set of 5,000 scores on a college readiness exam are known to be approximately normally distributed with mean 72 and standard deviation 6. To the nearest integer value, how many scores are there between 63 and 75?
    1. 0.6247
    2. 4,115
    3. 3,650
    4. 3,123
    5. 3,227
  6. For the data given in #5 above, suppose you were not told that the scores were approximately normally distributed. What can be said about the number of scores that are less than 58 (to the nearest integer)?
    1. There are at least 919 scores less than 58.
    2. There are at most 919 scores less than 58.
    3. There are approximately 919 scores less than 58.
    4. There are at most 459 scores less than 58.
    5. There are at least 459 scores less than 58.
  7. The following histogram pictures the number of students who visited the Career Center each week during the school year.
  8. Multiple Choice

    The shape of this graph could best be described as

    1. Mound-shaped and symmetric
    2. Bi-modal
    3. Skewed to the left
    4. Uniform
    5. Skewed to the right
  9. Which of the following statements is (are) true?
    1. The median is resistant to extreme values.
    2. The mean is resistant to extreme values.
    3. The standard deviation is resistant to extreme values.
      1. I only
      2. II only
      3. III only
      4. II and III only
      5. I and III only
  10. One of the values in a normal distribution is 43 and its z-score is 1.65. If the mean of the distribution is 40, what is the standard deviation of the distribution?
    1. 3
    2. –1.82
    3. –0.55
    4. 1.82
    5. –0.55
  11. Free-response questions on the AP Statistics Exam are graded on 4, 3, 2, 1, or 0 basis. Question #2 on the exam was of moderate difficulty. The average score on question #2 was 2.05 with a standard deviation of 1. To the nearest tenth, what score was achieved by a student who was at the 90th percentile of all students on the test? You may assume that the scores on the question were approximately normally distributed.
    1. 3.5
    2. 3.3
    3. 2.9
    4. 3.7
    5. 3.1
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