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October 2012 5-a-day

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October 2012

31 sheets · 155 questions · Higher tier

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The batch download puts all 2 tiers' October 2012 sheets in a single PDF, each tier behind its own divider page - 62 sheets in one file.

Every sheet in October 2012

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 2012Find the midpoint of the class interval 30-50.
  2. 2nd October 2012Explain why a pilot survey should be carried out before the full survey is sent out.
  3. 3rd October 2012Find the 3-point moving average of 14, 18, 20.
  4. 4th October 2012A game has four mutually exclusive outcomes: win, draw, lose, abandoned. P(win) = 0.45, P(draw) = 0.2, P(abandoned) = 0.05. Find P(lose).
  5. 5th October 2012Using the same histogram, how many students scored between 10 and 30 marks?
  6. 6th October 2012A box plot for 40 values has lower quartile 15 and upper quartile 25. Roughly how many of the 40 values lie between 15 and 25?
  7. 7th October 2012A set of weekly pocket money amounts, in pounds, is: 5, 6, 5, 500, 7, 6. Identify the likely outlier.
  8. 8th October 2012IQ scores are normally distributed with mean 100 and standard deviation 15. Out of 1000 people, estimate how many have an IQ above 130.
  9. 9th October 2012A PMCC value of r = 0.85 is calculated for two variables. Describe the strength and direction of the correlation.
  10. 10th October 2012Two intervals both have frequency 30: one has width 5 and one has width 15. Explain which interval has the taller histogram bar, and why.
  11. 11th October 2012A data set has Q1 = 15 and Q3 = 45. Calculate both outlier boundaries.
  12. 12th October 2012P(A) = 0.55 and P(B) = 0.4. Events A and B are mutually exclusive. Find P(A or B).
  13. 13th October 2012A table has class intervals with frequency x midpoint totals of 45, 120, 90 and frequencies 5, 8, 6. Find the estimated mean.
  14. 14th October 2012Give one reason why the response options '0-5, 5-10, 10-15' are a poor choice for hours of homework.
  15. 15th October 2012Find the 4-point moving average of 8, 12, 16, 20.
  16. 16th October 2012P(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).
  17. 17th October 2012A histogram has unequal class widths. Explain why the height of a bar can no longer be read directly as the frequency.
  18. 18th October 2012Box 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?
  19. 19th October 2012A data set of ages is: 12, 13, 12, 14, -12, 13. Which value is clearly an error, and why?
  20. 20th October 2012A normal distribution has mean 100 and standard deviation 15. What range contains approximately 95% of the data?
  21. 21st October 2012A PMCC value of r = -0.2 is calculated. Describe the correlation.
  22. 22nd October 2012A class interval 10-30 (width 20) has frequency density 3. Find the frequency.
  23. 23rd October 2012A 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.
  24. 24th October 2012P(A) = 0.6, P(A or B) = 0.75, and P(A and B) = 0.2. Find P(B).
  25. 25th October 2012The table shows weights, in kg, of 20 parcels: 0-5 (freq 4), 5-10 (freq 10), 10-15 (freq 6). Estimate the mean weight.
  26. 26th October 2012Rewrite the response options '0-5, 5-10, 10-15' so that they no longer overlap.
  27. 27th October 2012A series of 4-point moving averages is 45, 48, 52, 55. Describe the trend shown by these values.
  28. 28th October 2012A bag has only red, blue and green counters. P(red) = 0.5 and P(blue) = 0.2. Find P(green).
  29. 29th October 2012State one reason why a histogram has no gaps between its bars, unlike a bar chart.
  30. 30th October 2012Box 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?
  31. 31st October 2012Using 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.

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