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October 2014 5-a-day

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October 2014

31 sheets · 155 questions · Higher tier

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The batch download puts all 2 tiers' October 2014 sheets in a single PDF, each tier behind its own divider page - 62 sheets in one file.

Every sheet in October 2014

The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.

  1. 1st October 2014A data set has Q1 = 15 and Q3 = 45. Calculate both outlier boundaries.
  2. 2nd October 2014P(A) = 0.55 and P(B) = 0.4. Events A and B are mutually exclusive. Find P(A or B).
  3. 3rd October 2014A table has class intervals with frequency x midpoint totals of 45, 120, 90 and frequencies 5, 8, 6. Find the estimated mean.
  4. 4th October 2014Give one reason why the response options '0-5, 5-10, 10-15' are a poor choice for hours of homework.
  5. 5th October 2014Find the 4-point moving average of 8, 12, 16, 20.
  6. 6th October 2014P(rain) = 0.3 and P(snow) = 0.05 on a given day, and rain and snow are mutually exclusive that day. Find P(rain or snow).
  7. 7th October 2014A histogram has unequal class widths. Explain why the height of a bar can no longer be read directly as the frequency.
  8. 8th October 2014Box plot A has a median of 50 and box plot B has a median of 42, for the same type of data. What does this tell you about the two data sets?
  9. 9th October 2014A data set of ages is: 12, 13, 12, 14, -12, 13. Which value is clearly an error, and why?
  10. 10th October 2014A normal distribution has mean 100 and standard deviation 15. What range contains approximately 95% of the data?
  11. 11th October 2014A PMCC value of r = -0.2 is calculated. Describe the correlation.
  12. 12th October 2014A class interval 10-30 (width 20) has frequency density 3. Find the frequency.
  13. 13th October 2014A cumulative frequency graph for 100 test scores gives Q1 = 40, median = 58, Q3 = 70, minimum = 5, maximum = 98. Determine which of the minimum and maximum should be plotted as individual outliers.
  14. 14th October 2014P(A) = 0.6, P(A or B) = 0.75, and P(A and B) = 0.2. Find P(B).
  15. 15th October 2014The table shows weights, in kg, of 20 parcels: 0-5 (freq 4), 5-10 (freq 10), 10-15 (freq 6). Estimate the mean weight.
  16. 16th October 2014Rewrite the response options '0-5, 5-10, 10-15' so that they no longer overlap.
  17. 17th October 2014A series of 4-point moving averages is 45, 48, 52, 55. Describe the trend shown by these values.
  18. 18th October 2014A bag has only red, blue and green counters. P(red) = 0.5 and P(blue) = 0.2. Find P(green).
  19. 19th October 2014State one reason why a histogram has no gaps between its bars, unlike a bar chart.
  20. 20th October 2014Box plot A has an interquartile range of 8 and box plot B has an interquartile range of 15. What does this tell you about the spread of the middle 50 percent of each data set?
  21. 21st October 2014Using the boundaries from the previous question (2 and 50), state whether a value of 55 in the data set would be classed as an outlier.
  22. 22nd October 2014Test scores are normally distributed with mean 65 and standard deviation 8. Estimate the percentage of students scoring between 65 and 81.
  23. 23rd October 2014For a data set, Sxy = 30, Sxx = 50, Syy = 40. Calculate the PMCC to 3 significant figures.
  24. 24th October 2014A class interval has width 5 and frequency 20. Find the frequency density.
  25. 25th October 2014A data set has Q1 = 20 and Q3 = 32. Is a value of 55 an outlier? Use the 1.5 x IQR rule.
  26. 26th October 2014P(A) = 1/2, P(B) = 1/3, P(A and B) = 1/6. Find P(A or B).
  27. 27th October 2014The table shows ages, in years, of 50 people at a gym: 10-20 (freq 6), 20-30 (freq 18), 30-40 (freq 16), 40-50 (freq 10). Estimate the mean age.
  28. 28th October 2014What is wrong with the question 'How old are you and do you smoke?'
  29. 29th October 2014Find the 3-point moving average of 10, 14, 18.
  30. 30th October 2014P(A) = 0.4 and P(B) = 0.35, where A and B are mutually exclusive. Find P(A or B).
  31. 31st October 2014A histogram has bars of equal width. True or false: the height of each bar represents the frequency for that class.

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