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Home > Mathematics > General Mathematics > HSC Course > Data Analysis > DA5: Interpreting sets of data > Quick quiz: A sample of multiple choice questions for this topic.

DA5

  1. The mean of this set of scores 3, 4, 5, 5, 6, 7, 8, 10 is:
     
    • 6
    • 5
    • 7
    answer

     
  2. The median of this set of scores 1, 2, 2, 2, 3, 4, 5, 6, 7 is:
     
    • 2
    • 3
    • 6
    answer

     
  3. An accountant listed the hourly rates of pay of five workers: $8.15 $8.90 $6.30 $22.10 $15.40
     
    What is the median wage rate?
     
    • $6.30
    • $12.17
    • $8.90
    answer

     
  4. Find the range of this set of scores 20, 42, 53, 62, 75, 89, 45, 19, 77, 85, 100
     
    • 80
    • 81
    • 60.6
    answer

     
  5. Find the interquartile range of these 12 scores: 10, 12, 12, 15, 16, 17, 18, 19, 19, 21, 21, 22
     
    • 6.5
    • 13.5
    • 20
    answer

     
  6. Find the mean and standard deviation of this set of scores: 19, 23, 16, 20, 18, 25, 20, 22, 15.
     
    Correct to 2 decimal places
     
    • xbar= 20 standard deviation= 4.23
    • xbar= 19.78 standard deviation= 3.05
    • xbar= 21.32 standard deviation= 10
    answer

     

Use the following box and whisker plot for questions 7, 8 and 9.

box and wisker plot

  1. This box-and-whisker plot shows a representative sample of the time customers at "Ahmad’s Take-away" were required to wait before their meal was ready.
     
    The box in the diagram represents the interquartile range. In this diagram, 50% of the customers waited from:
     
    • Longer than 4 minutes.
    • Less than 6 minutes.
    • From 6 to 16 minutes.
    answer

     
  2. The time of 22 minutes (indicated by +) is very different from the others.
     
    It is called:
     
    • An outlier
    • An odd score
    • Neither A or B
    answer

     
  3. From the diagram the median is:
     
    • 6
    • 11
    • 14
    answer

     
  4. Which graph shows a positively skewed distribution?
     

    • graph mean to right of mode

    • graph mean to left of mode

    • graph mean and mode equal
    answer

     
  5. In this diagram
     
    graph mean to left of mode
     
    • The mean is bigger than the mode.
    • The mean is the same as the mode.
    • The mean is smaller than the mode.
    answer

     
  6. Narelle and Lesley are two test item writers who are being considered for an important job. In this back-to-back stem and leaf plot the number of items written per hour were recorded.
     
    Narelle Lesley
    Leaf Stem Leaf
    7 4 2


    		0
    1
    2
    2 3 5
    1 2

      Which test item writer produced the most items over the 5 hours?
     
    • Narelle
    • Lesley
    • Can't tell from this diagram.
    answer

     
  7. The median score for Test A was approximately
     
    box and wisker plots for tests A and B
     
    • 70
    • 35
    • 84
    answer

     
  8. Using the diagram in Q13, what was the lowest score on Test B?
     
    • Less than 25
    • Approximately 35
    • 25
    answer

     
  9. What was the total population surveyed?
     
      Men Women Total
    Smoker
    2500
    1400
    3900
    Non-smoker
    6500
    7600
    14 100
    Total
    9000
    9000
    18 000

     
    • 9000
    • 14 100
    • 18 000
    answer

     
  10. Using the two-way table in Q15 what percentage of the women are non-smokers?
     
    • Approximately 54%
    • Approximately 84%
    • Approximately 42%
    answer

     
  11. Which diagram best illustrates an area chart?
     

    • graph 1

    • box and whisker plot

    • graph 3
    answer

     

Answers

  1. 6
     
  2. 3
     
  3. $8.90
     
  4. 81
     
  5. 6.5
     

  6. xbar= 19.78 standard deviation= 3.05
     
  7. From 6 to 16 minutes.
     
  8. An Outlier.
     
  9. 11
     

  10. graph mean to right of mode
     
  11. The mean is smaller than the mode.
     
  12. Narelle
     
  13. 74
     
  14. 25
     
  15. 14 100
     
  16. Approximately 84%
     

  17. graph 3
     

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