Daily Practice · Higher

June 1999 5-a-day

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June 1999

30 sheets · 150 questions · Higher tier

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The batch download puts all 2 tiers' June 1999 sheets in a single PDF, each tier behind its own divider page - 60 sheets in one file.

Every sheet in June 1999

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

  1. 1st June 1999Rewrite the response options '0-5, 5-10, 10-15' so that they no longer overlap.
  2. 2nd June 1999A series of 4-point moving averages is 45, 48, 52, 55. Describe the trend shown by these values.
  3. 3rd June 1999A bag has only red, blue and green counters. P(red) = 0.5 and P(blue) = 0.2. Find P(green).
  4. 4th June 1999State one reason why a histogram has no gaps between its bars, unlike a bar chart.
  5. 5th June 1999Box 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 June 1999Using 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 June 1999Test scores are normally distributed with mean 65 and standard deviation 8. Estimate the percentage of students scoring between 65 and 81.
  8. 8th June 1999For a data set, Sxy = 30, Sxx = 50, Syy = 40. Calculate the PMCC to 3 significant figures.
  9. 9th June 1999A class interval has width 5 and frequency 20. Find the frequency density.
  10. 10th June 1999A data set has Q1 = 20 and Q3 = 32. Is a value of 55 an outlier? Use the 1.5 x IQR rule.
  11. 11th June 1999P(A) = 1/2, P(B) = 1/3, P(A and B) = 1/6. Find P(A or B).
  12. 12th June 1999The 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 June 1999What is wrong with the question 'How old are you and do you smoke?'
  14. 14th June 1999Find the 3-point moving average of 10, 14, 18.
  15. 15th June 1999P(A) = 0.4 and P(B) = 0.35, where A and B are mutually exclusive. Find P(A or B).
  16. 16th June 1999A histogram has bars of equal width. True or false: the height of each bar represents the frequency for that class.
  17. 17th June 1999Name the five values needed to draw a box plot.
  18. 18th June 1999A 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 June 1999A normally distributed data set has mean 40 and standard deviation 3. Estimate the percentage of values above 43.
  20. 20th June 1999A 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 June 1999A 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 June 1999A data set has Q1 = 12 and Q3 = 20. Calculate the IQR and the upper outlier boundary.
  23. 23rd June 1999Out 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 June 1999A class interval 0-10 has frequency 6. Find frequency x midpoint.
  25. 25th June 1999A survey question offers the response options 'Never, Sometimes, Always'. State one improvement that could be made.
  26. 26th June 1999Find the 4-point moving average of 12, 16, 20, 10.
  27. 27th June 1999Are 'rolling an even number' and 'rolling a 5' on a normal six-sided dice mutually exclusive?
  28. 28th June 1999A 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 June 1999A box plot shows minimum 4 and maximum 36, with median 20. State the range of the data.
  30. 30th June 1999A 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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