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Descriptive Measures Practice Test

By — McGraw-Hill Professional
Updated on Sep 12, 2011

Review the following concepts if necessary:

Descriptive Measures Practice Test

A good score is 8 correct.

  1. Suppose a large number of people take a test. The 3rd decile point is determined by
    1. finding the highest score representing the ''worst'' 20% or fewer papers; the 3rd decile is at the top of that set
    2. finding the highest score representing the ''worst'' 30% or fewer papers; the 3rd decile is at the top of that set
    3. finding the lowest score representing the ''best'' 20% or fewer papers; the 3rd decile is at the bottom of that set
    4. finding the lowest score representing the ''best'' 30% or fewer papers; the 3rd decile is at the bottom of that set
  2. Suppose many students take a 10-question quiz, and the mean turns out to be 7.22 answers correct. Suppose the standard deviation turns out to be 0.722. What is the coefficient of variation?
    1. We can't answer this unless we know how many people take the quiz.
    2. 0.1
    3. 10
    4. 100
  3. Suppose several students take a 10-question quiz. The worst score is 3 correct, and the best score is 10 correct. What is the range?
    1. We can't answer this unless we know how many people take the quiz.
    2. 3/7
    3. 7
    4. 7/3
  4. Suppose several students take a 10-question quiz. The worst score is 3 correct, and the best score is 10 correct. What is the 50th percentile?
    1. 7, which is equal to 10 – 3.
    2. 6.5, which is equal to (3 + 10)/2.
    3. 301/2, which is equal to the square root of (3 × 10).
    4. We can't answer this unless we know how many students receive each score.
  5. Imagine that you take a standardized test, and after you've finished you are told that you are at the 91st decile. This means
    1. 90 of the students taking the same test have scores higher than yours
    2. 90% of all the students taking the same test have scores higher than yours

90 of the students taking the same test have scores lower than yours

  1. nothing; there is no such thing as the 91st decile
  2. Table 4-11 shows the results of a hypothetical 10-question test given to a group of students. Where is the 1st quartile point?
    1. At the transition between scores of 1 and 2.
    2. At the transition between scores of 4 and 5.
    3. At the transition between scores of 6 and 7.
    4. It cannot be determined without more information.
  3. What is the range for the scores achieved by students in the scenario of Table 4-11?
    1. 5
    2. 8
    3. 10
    4. It cannot be determined without more information.

Table 4-11 Illustration for Practice Test Questions 6 through 9. Results of a hypothetical 10-question test taken by 128 students.

  1. What is the interquartile range of the scores in Table 4-11?
    1. 3
    2. 4
    3. 6
    4. It cannot be determined because it is ambiguous.
  2. Suppose, in the scenario shown by Table 4-11, Jim Q. is one of the students taking the test, and he gets a score of 6. In what interval is Jim Q. with respect to the class?
    1. The bottom 25%.
    2. The next-to-lowest 25%
    3. The next-to-highest 25%.
    4. It cannot be determined because it is ambiguous.
  3. Suppose you see a pie graph showing the results of a survey. The purpose of the survey is to determine the number and proportion of families in a certain city earning incomes in various ranges. Actual numbers are, for some reason, not indicated on this pie graph. But you see that one of the ranges has a ''slice'' with an apex (central) angle of 90°. From this, you can assume that the slice corresponds to
    1. the families whose earnings fall into the middle 25% of the income range
    2. 25% of the families surveyed
    3. 1/π of the families surveyed (π is the ratio of a circle's circumference to its diameter)
    4. the families whose earnings fall within the interquartile range

Answers

  1. b
  2. b
  3. c
  4. d
  5. d
  6. b
  7. b
  8. a
  9. b
  10. b
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