Daily Practice · Higher

November 2001 5-a-day

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November 2001

30 sheets · 150 questions · Higher tier

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The batch download puts all 2 tiers' November 2001 sheets in a single PDF, each tier behind its own divider page - 60 sheets in one file.

Every sheet in November 2001

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 2001A 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.
  2. 2nd November 2001A data set has Q1 = 12 and Q3 = 20. Calculate the IQR and the upper outlier boundary.
  3. 3rd November 2001Out 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.
  4. 4th November 2001A class interval 0-10 has frequency 6. Find frequency x midpoint.
  5. 5th November 2001A survey question offers the response options 'Never, Sometimes, Always'. State one improvement that could be made.
  6. 6th November 2001Find the 4-point moving average of 12, 16, 20, 10.
  7. 7th November 2001Are 'rolling an even number' and 'rolling a 5' on a normal six-sided dice mutually exclusive?
  8. 8th November 2001A 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?
  9. 9th November 2001A box plot shows minimum 4 and maximum 36, with median 20. State the range of the data.
  10. 10th November 2001A 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.
  11. 11th November 2001A normal distribution has mean 50 and standard deviation 5. What range of values contains approximately 68% of the data?
  12. 12th November 2001For a data set, Sxy = 45 and Sxx = 60. Find the gradient b of the regression line.
  13. 13th November 2001A histogram bar has height (frequency density) 2.5 and covers the interval 0-8. Find the frequency it represents.
  14. 14th November 2001A 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.
  15. 15th November 2001In 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.
  16. 16th November 2001Find the midpoint of the class interval 10-20.
  17. 17th November 2001What is wrong with the question 'Do you not think school lunches are too expensive?'
  18. 18th November 2001What does a moving average smooth out in seasonal data, and what does the result reveal?
  19. 19th November 2001A card is drawn at random from a normal 52-card pack. Find P(drawing a King or a Queen).
  20. 20th November 2001A histogram of ages has 5 equal-width bars covering 0-10, 10-20, 20-30, 30-40, 40-50 with heights 3, 7, x, 9, 2, and a total of 35 people. Find x.
  21. 21st November 2001A box plot has lower quartile 10 and upper quartile 22. Find the interquartile range.
  22. 22nd November 2001Test scores out of 50 are: 32, 28, 35, 30, 29, 31, 95. Which score cannot be correct, and why?
  23. 23rd November 2001The masses of 500 apples are normally distributed with mean 120 g and standard deviation 10 g. Estimate the number of apples with a mass between 110 g and 130 g.
  24. 24th November 2001The equation of a regression line is y = 3 + 2x. Find y when x = 5.
  25. 25th November 2001A frequency table has intervals 0-10 (frequency 15) and 10-15 (frequency 20). Calculate the frequency density for each.
  26. 26th November 2001Using the data in the previous question, a delegate aged 65 attends. Is this delegate's age an outlier? Explain.
  27. 27th November 2001P(A) = 0.4, P(B) = 0.3, P(A and B) = 0.1. Find P(A or B).
  28. 28th November 2001Find the midpoint of the class interval 30-50.
  29. 29th November 2001Explain why a pilot survey should be carried out before the full survey is sent out.
  30. 30th November 2001Find the 3-point moving average of 14, 18, 20.

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