2.02f Measures of location and spread: Measures of location and spread (2.02f) Quiz: OCR Maths, Unit 12

The 20 questions

1. What is the interquartile range?

   • Q3 - Q1
   • Median - Q1
   • Maximum - minimum
   • Q3 + Q1

2. What is the standard deviation formally defined as?

   • Variance squared
   • Root mean square deviation
   • Median absolute deviation
   • Mean absolute deviation

3. What is the relationship between variance and standard deviation?

   • Square root deviation
   • Standard deviation squared
   • Double standard deviation
   • Standard deviation cubed

4. What percentile corresponds to the median of a data set?

   • 50th percentile
   • 25th percentile
   • 100th percentile
   • 75th percentile

5. Which term describes the value that occurs most frequently in a data set?

   • Mode
   • Mean
   • Median
   • Midrange

6. Which measure of average is most affected by an outlier?

   • The mode
   • The mean
   • The median
   • The interquartile range

7. What percentage of data lies at or below the 90th percentile?

   • 10%
   • 90%
   • 9%
   • 50%

8. Data 2, 4, 6, 8 and 10 are a population. What is the population standard deviation?

   • sqrt(10)
   • 8
   • sqrt(8), about 2.83
   • 2

9. A frequency table has value 1 (frequency 2), value 2 (frequency 3) and value 3 (frequency 5). What is the mean?

   • 2.3
   • 2
   • 2.5
   • 3

10. A data set has Q1 = 14 and Q3 = 29. What is the interquartile range?

    • 15
    • 29
    • 43
    • 14

11. The ordered data are 3, 7, 8, 12, 15, 18, 20 and 22. What is the median?

    • 15
    • 13.5
    • 14
    • 12

12. Which standard deviation value indicates greater consistency in data?

    • Lower standard deviation
    • Zero mean
    • Higher standard deviation
    • Negative standard deviation

13. Salaries of 20k, 22k, 25k, 24k and 500k are recorded. Which measure best represents a typical salary?

    • The median
    • The range
    • The mean
    • The total

14. The 75th percentile of test scores is 68. What fraction of students scored 68 or less?

    • 50%
    • 75%
    • 68%
    • 25%

15. Grouped data: class 0 to 10 has frequency 4 and midpoint 5; class 10 to 20 has frequency 6 and midpoint 15. What is the estimated mean?

    • 12
    • 10
    • 11
    • 15

16. For a data set with n = 10, sum of x = 70 and sum of x^2 = 500, what is the standard deviation?

    • 49
    • 1
    • sqrt(50)
    • 7

17. If 5 is added to every value in a data set, what happens to the standard deviation?

    • Increases by 5
    • Remains unchanged
    • Multiplied by 5
    • Increases by 25

18. If every value in a data set is multiplied by 3, by what factor does variance increase?

    • 9
    • 3
    • 6
    • 27

19. Q1 = 10 and Q3 = 20. Using the rule of 1.5 times the interquartile range, what is the upper outlier boundary?

    • 40
    • 35
    • 30
    • 25

20. A data set has mean 40 and standard deviation 5. Using the rule of more than 2 standard deviations from the mean, which value is an outlier?

    • 35
    • 48
    • 46
    • 52

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