Daily Practice · Higher

November 2011 5-a-day

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November 2011

30 sheets · 150 questions · Higher tier

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The batch download puts all 2 tiers' November 2011 sheets in a single PDF, each tier behind its own divider page - 60 sheets in one file.

Every sheet in November 2011

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

  1. 1st November 2011Rewrite the response options '0-5, 5-10, 10-15' so that they no longer overlap.
  2. 2nd November 2011A series of 4-point moving averages is 45, 48, 52, 55. Describe the trend shown by these values.
  3. 3rd November 2011A bag has only red, blue and green counters. P(red) = 0.5 and P(blue) = 0.2. Find P(green).
  4. 4th November 2011State one reason why a histogram has no gaps between its bars, unlike a bar chart.
  5. 5th November 2011Box 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?
  6. 6th November 2011Using 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.
  7. 7th November 2011Test scores are normally distributed with mean 65 and standard deviation 8. Estimate the percentage of students scoring between 65 and 81.
  8. 8th November 2011For a data set, Sxy = 30, Sxx = 50, Syy = 40. Calculate the PMCC to 3 significant figures.
  9. 9th November 2011A class interval has width 5 and frequency 20. Find the frequency density.
  10. 10th November 2011A data set has Q1 = 20 and Q3 = 32. Is a value of 55 an outlier? Use the 1.5 x IQR rule.
  11. 11th November 2011P(A) = 1/2, P(B) = 1/3, P(A and B) = 1/6. Find P(A or B).
  12. 12th November 2011The 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.
  13. 13th November 2011What is wrong with the question 'How old are you and do you smoke?'
  14. 14th November 2011Find the 3-point moving average of 10, 14, 18.
  15. 15th November 2011P(A) = 0.4 and P(B) = 0.35, where A and B are mutually exclusive. Find P(A or B).
  16. 16th November 2011A histogram has bars of equal width. True or false: the height of each bar represents the frequency for that class.
  17. 17th November 2011Name the five values needed to draw a box plot.
  18. 18th November 2011A data set of 10 house prices, in thousands of pounds, has a mean of 210 without an outlier of 900 included, but a mean of 279 when the 900 is included. Explain why a statistician might exclude the 900 when reporting a typical house price.
  19. 19th November 2011A normally distributed data set has mean 40 and standard deviation 3. Estimate the percentage of values above 43.
  20. 20th November 2011A regression line y = 12 + 1.5x is used to predict y when x = 200, even though the original x-values ranged only from 5 to 20. Explain why this prediction may be unreliable.
  21. 21st November 2011A histogram has classes 20-25 (frequency density 4), 25-35 (frequency density 2.4), 35-50 (frequency density 1.6). Find the total number of data values represented.
  22. 22nd November 2011A data set has Q1 = 12 and Q3 = 20. Calculate the IQR and the upper outlier boundary.
  23. 23rd November 2011Out of 50 people surveyed, 20 like tea, 25 like coffee, and 10 like both. Find the probability that a randomly chosen person likes tea or coffee.
  24. 24th November 2011A class interval 0-10 has frequency 6. Find frequency x midpoint.
  25. 25th November 2011A survey question offers the response options 'Never, Sometimes, Always'. State one improvement that could be made.
  26. 26th November 2011Find the 4-point moving average of 12, 16, 20, 10.
  27. 27th November 2011Are 'rolling an even number' and 'rolling a 5' on a normal six-sided dice mutually exclusive?
  28. 28th November 2011A histogram for exam scores has bars of equal width 10 marks, covering 0-10, 10-20, 20-30, 30-40, with heights 2, 8, 15, 5. How many students took the exam?
  29. 29th November 2011A box plot shows minimum 4 and maximum 36, with median 20. State the range of the data.
  30. 30th November 2011A data set has lower quartile Q1 = 20 and upper quartile Q3 = 32. Using the rule 'outlier if more than 1.5 x IQR beyond Q1 or Q3', find the outlier boundaries.

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