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October 1998 5-a-day

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October 1998

31 sheets · 155 questions · Higher tier

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Every sheet in October 1998

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 1998Using the data in the previous question, a delegate aged 65 attends. Is this delegate's age an outlier? Explain.
  2. 2nd October 1998P(A) = 0.4, P(B) = 0.3, P(A and B) = 0.1. Find P(A or B).
  3. 3rd October 1998Find the midpoint of the class interval 30-50.
  4. 4th October 1998Explain why a pilot survey should be carried out before the full survey is sent out.
  5. 5th October 1998Find the 3-point moving average of 14, 18, 20.
  6. 6th October 1998A 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).
  7. 7th October 1998Using the same histogram, how many students scored between 10 and 30 marks?
  8. 8th October 1998A 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?
  9. 9th October 1998A set of weekly pocket money amounts, in pounds, is: 5, 6, 5, 500, 7, 6. Identify the likely outlier.
  10. 10th October 1998IQ scores are normally distributed with mean 100 and standard deviation 15. Out of 1000 people, estimate how many have an IQ above 130.
  11. 11th October 1998A PMCC value of r = 0.85 is calculated for two variables. Describe the strength and direction of the correlation.
  12. 12th October 1998Two intervals both have frequency 30: one has width 5 and one has width 15. Explain which interval has the taller histogram bar, and why.
  13. 13th October 1998A data set has Q1 = 15 and Q3 = 45. Calculate both outlier boundaries.
  14. 14th October 1998P(A) = 0.55 and P(B) = 0.4. Events A and B are mutually exclusive. Find P(A or B).
  15. 15th October 1998A table has class intervals with frequency x midpoint totals of 45, 120, 90 and frequencies 5, 8, 6. Find the estimated mean.
  16. 16th October 1998Give one reason why the response options '0-5, 5-10, 10-15' are a poor choice for hours of homework.
  17. 17th October 1998Find the 4-point moving average of 8, 12, 16, 20.
  18. 18th October 1998P(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).
  19. 19th October 1998A histogram has unequal class widths. Explain why the height of a bar can no longer be read directly as the frequency.
  20. 20th October 1998Box 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?
  21. 21st October 1998A data set of ages is: 12, 13, 12, 14, -12, 13. Which value is clearly an error, and why?
  22. 22nd October 1998A normal distribution has mean 100 and standard deviation 15. What range contains approximately 95% of the data?
  23. 23rd October 1998A PMCC value of r = -0.2 is calculated. Describe the correlation.
  24. 24th October 1998A class interval 10-30 (width 20) has frequency density 3. Find the frequency.
  25. 25th October 1998A 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.
  26. 26th October 1998P(A) = 0.6, P(A or B) = 0.75, and P(A and B) = 0.2. Find P(B).
  27. 27th October 1998The table shows weights, in kg, of 20 parcels: 0-5 (freq 4), 5-10 (freq 10), 10-15 (freq 6). Estimate the mean weight.
  28. 28th October 1998Rewrite the response options '0-5, 5-10, 10-15' so that they no longer overlap.
  29. 29th October 1998A series of 4-point moving averages is 45, 48, 52, 55. Describe the trend shown by these values.
  30. 30th October 1998A bag has only red, blue and green counters. P(red) = 0.5 and P(blue) = 0.2. Find P(green).
  31. 31st October 1998State one reason why a histogram has no gaps between its bars, unlike a bar chart.

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