Chapter 3 - Summarising Numerical Data

30 Questions | Total Attempts: 167

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Chapter 3 - Summarising Numerical Data - Quiz

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Questions and Answers
  • 1. 
    The following is a set of measurements: 11.0, 11.4, 12.3, 10.5, 11.6, 11.2, 11.8, 11.1, 11.2, 11.3, 11.5   The mean value is closest to:
    • A. 

      11.11

    • B. 

      11.15

    • C. 

      11.35

    • D. 

      11.50

    • E. 

      11.56

    • F. 

      I don't know

  • 2. 
    The lifetime of Last Forever car batteries is approximately normally distributed with a mean of 24 months and a standard deviation of three months.  If 2000 batteries are sold, the number expected to last less than 15 months is closest to:
    • A. 

      3

    • B. 

      8

    • C. 

      15

    • D. 

      30

    • E. 

      80

    • F. 

      I don't know

  • 3. 
    The lifetime of Last Forever car batteries is approximately normally distributed with a  mean of 24 months and a standard deviation of three months.  The percentage of batteries that can be expected to last less than 30 months is:
    • A. 

      2.5%

    • B. 

      16%

    • C. 

      32%

    • D. 

      95%

    • E. 

      97.5%

    • F. 

      I don't know

  • 4. 
    The lifetime of Last Forever car batteries is approximately normally distributed with a mean of 24 months and a standard deviation of three months.  The percentage of batteries that can be expected to last less than 21 months is:
    • A. 

      16%

    • B. 

      32%

    • C. 

      50%

    • D. 

      68%

    • E. 

      95%

    • F. 

      I don't know

  • 5. 
    The lifetime of Last Forever car batteries is approximately normally distributed with a mean of 24 months and a standard deviation of three months.  The percentage of batteries that can be expected to last between 18 and 30 months is:
    • A. 

      16%

    • B. 

      32%

    • C. 

      50%

    • D. 

      68%

    • E. 

      95%

    • F. 

      I don't know

  • 6. 
    The lifetime of Last Forever car batteries is approximately normally distributed with a mean of 24 months and a standard deviation of three months.  The percentage of batteries that can be expected to last more than 24 months is:
    • A. 

      16%

    • B. 

      32%

    • C. 

      50%

    • D. 

      68%

    • E. 

      95%

    • F. 

      I don't know

  • 7. 
    In a normal distribution, approximately 16% of values lie:
    • A. 

      Within one Standard Deviation of the mean

    • B. 

      Within two Standard Deviations of the mean

    • C. 

      Within two Standard Deviations of the mean

    • D. 

      More than one Standard Deviation above the mean

    • E. 

      More than two Standard Deviations below the mean

    • F. 

      I don't know

  • 8. 
    In a normal distribution, approximately 95% of values lie:
    • A. 

      Within one Standard Deviation of the mean

    • B. 

      Within two Standard Deviations of the mean

    • C. 

      Within three Standard Deviations of the mean

    • D. 

      More than one Standard Deviation above the mean

    • E. 

      More than two Standard Deviations below the mean

    • F. 

      I don't know

  • 9. 
    A student’s standardised score on a test was –2. The mean score on the test was 20 marks with a standard deviation of 3.  Her actual mark on the test was:
    • A. 

      11

    • B. 

      14

    • C. 

      17

    • D. 

      18

    • E. 

      26

    • F. 

      I don't know

  • 10. 
    A student’s mark on a test is 60. The mean mark for their class is 75 and the standard deviation is 6.  Their standard score is:-
    • A. 

      -15

    • B. 

      -6

    • C. 

      -2.5

    • D. 

      2.5

    • E. 

      15

    • F. 

      I don't know

  • 11. 
    It would not be appropriate to determine the mean and standard deviation of a group of women’s:
    • A. 

      Heights

    • B. 

      Age at leaving school

    • C. 

      Weights

    • D. 

      Place of residence

    • E. 

      Time spent on leisure activities

    • F. 

      I don't know

  • 12. 
    The histogram above shows the distribution of the amount spent on gambling by a large sample of gamblers.   For this distribution, the mean would be:
    • A. 

      Less than the median

    • B. 

      Approximately equal to the median

    • C. 

      Greater than the median

    • D. 

      Less than $1000

    • E. 

      Less than $10 000

    • F. 

      I don't know

  • 13. 
    For this set of test marks:   20, 21, 13, 15, 16, 24, 17   the actual value of the standard deviation, correct to one decimal place, is:
    • A. 

      2.1

    • B. 

      2.7

    • C. 

      3.5

    • D. 

      3.8

    • E. 

      3.9

    • F. 

      I don't know

  • 14. 
    For this set of test marks:   20, 21, 13, 15, 16, 24, 17   an estimate of the standard deviation (based on the range) is
    • A. 

      2.5

    • B. 

      2.75

    • C. 

      3.0

    • D. 

      5.5

    • E. 

      11.0

    • F. 

      I don't know

  • 15. 
    For this set of test marks:   20, 21, 13, 15, 16, 24, 17   the mean value is:
    • A. 

      16

    • B. 

      17

    • C. 

      18

    • D. 

      19

    • E. 

      20

    • F. 

      I don't know

  • 16. 
    The heights of a group of 256 junior athletes is approximately normally distributed with a mean of 157 cm and a standard deviation of 3 cm.   The number of junior athletes with heights greater than 154 cm is around:
    • A. 

      82

    • B. 

      128

    • C. 

      175

    • D. 

      215

    • E. 

      250

    • F. 

      I don't know

  • 17. 
    The heights of a group of 256 junior athletes is approximately normally distributed with a mean of 157 cm and a standard deviation of 3 cm.   The number of junior athletes with heights less than 151 cm is around:
    • A. 

      3

    • B. 

      6

    • C. 

      12

    • D. 

      128

    • E. 

      250

    • F. 

      I don't know

  • 18. 
    The heights of a group of 256 junior athletes is approximately normally distributed with a mean of 157 cm and a standard deviation of 3 cm.   The percentage of the junior athletes with heights between 148 and 166 cm is:
    • A. 

      0.03%

    • B. 

      50%

    • C. 

      68%

    • D. 

      95%

    • E. 

      99.7%

    • F. 

      I don't know

  • 19. 
    In a normal distribution, approximately 32% of values lie:
    • A. 

      Within one Standard Deviation of the mean

    • B. 

      Within two Standard Deviations of the mean

    • C. 

      Within three Standard Deviations of the mean

    • D. 

      More than one Standard Deviation above or below the mean

    • E. 

      More than two Standard Deviations above or below the mean

    • F. 

      I don't know

  • 20. 
    In a normal distribution, approximately 2.5% of values lie:
    • A. 

      Within one Standard Deviation of the mean

    • B. 

      Within two Standard Deviations of the mean

    • C. 

      Within three Standard Deviations of the mean

    • D. 

      More than one Standard Deviation above the mean

    • E. 

      More than two Standard Deviations above the mean

    • F. 

      I don't know

  • 21. 
    In a normal distribution, approximately 0.3% of values lie:
    • A. 

      Within one Standard Deviation of the mean

    • B. 

      Within two Standard Deviations of the mean

    • C. 

      Within three Standard Deviations of the mean

    • D. 

      More than three Standard Deviations above or below the mean

    • E. 

      More than two Standard Deviations above or below the mean

    • F. 

      I don't know

  • 22. 
    In a normal distribution, approximately 95% of values lie:
    • A. 

      Within one Standard Deviation of the mean

    • B. 

      Within two Standard Deviations of the mean

    • C. 

      Within three Standard Deviations of the mean

    • D. 

      More than one Standard Deviation above the mean

    • E. 

      More than two Standard Deviations below the mean

    • F. 

      I don't know

  • 23. 
    A student’s standardised score on a test is –0.5. The mean mark for their class is 68 and the standard deviation is 4.  Their test score is:
    • A. 

      60

    • B. 

      64

    • C. 

      66

    • D. 

      67.5

    • E. 

      70

    • F. 

      I don't know

  • 24. 
    A student’s mark on a test is 75. The mean mark for their class is 68 and the standard deviation is 4.  Their standardised score is:
    • A. 

      –2.5

    • B. 

      –1.75

    • C. 

      0

    • D. 

      1.75

    • E. 

      2.5

    • F. 

      I don't know

  • 25. 
    It is reasonable to use the mean measure of the centre of a distribution:
    • A. 

      When the distribution is negatively skewed

    • B. 

      When the distribution is positively skewed

    • C. 

      When the distribution is symmetric

    • D. 

      When the distribution is symmetric with outliers

    • E. 

      Always

    • F. 

      I don't know

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