Daily Practice · Higher

November 1999 5-a-day

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November 1999

30 sheets · 150 questions · Higher tier

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

Every sheet in November 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 November 1999A data set has Q1 = 20 and Q3 = 32. Is a value of 55 an outlier? Use the 1.5 x IQR rule.
  2. 2nd November 1999P(A) = 1/2, P(B) = 1/3, P(A and B) = 1/6. Find P(A or B).
  3. 3rd November 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.
  4. 4th November 1999What is wrong with the question 'How old are you and do you smoke?'
  5. 5th November 1999Find the 3-point moving average of 10, 14, 18.
  6. 6th November 1999P(A) = 0.4 and P(B) = 0.35, where A and B are mutually exclusive. Find P(A or B).
  7. 7th November 1999A histogram has bars of equal width. True or false: the height of each bar represents the frequency for that class.
  8. 8th November 1999Name the five values needed to draw a box plot.
  9. 9th November 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.
  10. 10th November 1999A normally distributed data set has mean 40 and standard deviation 3. Estimate the percentage of values above 43.
  11. 11th November 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.
  12. 12th November 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.
  13. 13th November 1999A data set has Q1 = 12 and Q3 = 20. Calculate the IQR and the upper outlier boundary.
  14. 14th November 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.
  15. 15th November 1999A class interval 0-10 has frequency 6. Find frequency x midpoint.
  16. 16th November 1999A survey question offers the response options 'Never, Sometimes, Always'. State one improvement that could be made.
  17. 17th November 1999Find the 4-point moving average of 12, 16, 20, 10.
  18. 18th November 1999Are 'rolling an even number' and 'rolling a 5' on a normal six-sided dice mutually exclusive?
  19. 19th November 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?
  20. 20th November 1999A box plot shows minimum 4 and maximum 36, with median 20. State the range of the data.
  21. 21st November 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.
  22. 22nd November 1999A normal distribution has mean 50 and standard deviation 5. What range of values contains approximately 68% of the data?
  23. 23rd November 1999For a data set, Sxy = 45 and Sxx = 60. Find the gradient b of the regression line.
  24. 24th November 1999A histogram bar has height (frequency density) 2.5 and covers the interval 0-8. Find the frequency it represents.
  25. 25th November 1999A cumulative frequency table gives Q1 = 18, median = 25, Q3 = 34 for the ages of 60 people at a conference. Calculate the IQR and state the upper outlier boundary.
  26. 26th November 1999In a group of 40 students, 22 play football, 18 play rugby, and P(football or rugby) = 0.85. Find the number of students who play both sports.
  27. 27th November 1999Find the midpoint of the class interval 10-20.
  28. 28th November 1999What is wrong with the question 'Do you not think school lunches are too expensive?'
  29. 29th November 1999What does a moving average smooth out in seasonal data, and what does the result reveal?
  30. 30th November 1999A card is drawn at random from a normal 52-card pack. Find P(drawing a King or a Queen).

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