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October 2000 5-a-day

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October 2000

31 sheets · 155 questions · Higher tier

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Every sheet in October 2000

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 2000Two intervals both have frequency 30: one has width 5 and one has width 15. Explain which interval has the taller histogram bar, and why.
  2. 2nd October 2000A data set has Q1 = 15 and Q3 = 45. Calculate both outlier boundaries.
  3. 3rd October 2000P(A) = 0.55 and P(B) = 0.4. Events A and B are mutually exclusive. Find P(A or B).
  4. 4th October 2000A table has class intervals with frequency x midpoint totals of 45, 120, 90 and frequencies 5, 8, 6. Find the estimated mean.
  5. 5th October 2000Give one reason why the response options '0-5, 5-10, 10-15' are a poor choice for hours of homework.
  6. 6th October 2000Find the 4-point moving average of 8, 12, 16, 20.
  7. 7th October 2000P(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).
  8. 8th October 2000A histogram has unequal class widths. Explain why the height of a bar can no longer be read directly as the frequency.
  9. 9th October 2000Box 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?
  10. 10th October 2000A data set of ages is: 12, 13, 12, 14, -12, 13. Which value is clearly an error, and why?
  11. 11th October 2000A normal distribution has mean 100 and standard deviation 15. What range contains approximately 95% of the data?
  12. 12th October 2000A PMCC value of r = -0.2 is calculated. Describe the correlation.
  13. 13th October 2000A class interval 10-30 (width 20) has frequency density 3. Find the frequency.
  14. 14th October 2000A 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.
  15. 15th October 2000P(A) = 0.6, P(A or B) = 0.75, and P(A and B) = 0.2. Find P(B).
  16. 16th October 2000The table shows weights, in kg, of 20 parcels: 0-5 (freq 4), 5-10 (freq 10), 10-15 (freq 6). Estimate the mean weight.
  17. 17th October 2000Rewrite the response options '0-5, 5-10, 10-15' so that they no longer overlap.
  18. 18th October 2000A series of 4-point moving averages is 45, 48, 52, 55. Describe the trend shown by these values.
  19. 19th October 2000A bag has only red, blue and green counters. P(red) = 0.5 and P(blue) = 0.2. Find P(green).
  20. 20th October 2000State one reason why a histogram has no gaps between its bars, unlike a bar chart.
  21. 21st October 2000Box 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?
  22. 22nd October 2000Using 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.
  23. 23rd October 2000Test scores are normally distributed with mean 65 and standard deviation 8. Estimate the percentage of students scoring between 65 and 81.
  24. 24th October 2000For a data set, Sxy = 30, Sxx = 50, Syy = 40. Calculate the PMCC to 3 significant figures.
  25. 25th October 2000A class interval has width 5 and frequency 20. Find the frequency density.
  26. 26th October 2000A data set has Q1 = 20 and Q3 = 32. Is a value of 55 an outlier? Use the 1.5 x IQR rule.
  27. 27th October 2000P(A) = 1/2, P(B) = 1/3, P(A and B) = 1/6. Find P(A or B).
  28. 28th October 2000The 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.
  29. 29th October 2000What is wrong with the question 'How old are you and do you smoke?'
  30. 30th October 2000Find the 3-point moving average of 10, 14, 18.
  31. 31st October 2000P(A) = 0.4 and P(B) = 0.35, where A and B are mutually exclusive. Find P(A or B).

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