Daily Practice · Higher

November 2024 5-a-day

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November 2024

30 sheets · 150 questions · Higher tier

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The batch download puts all 2 tiers' November 2024 sheets in a single PDF, each tier behind its own divider page - 60 sheets in one file.

Every sheet in November 2024

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 2024A 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.
  2. 2nd November 2024P(A) = 0.6, P(A or B) = 0.75, and P(A and B) = 0.2. Find P(B).
  3. 3rd November 2024The table shows weights, in kg, of 20 parcels: 0-5 (freq 4), 5-10 (freq 10), 10-15 (freq 6). Estimate the mean weight.
  4. 4th November 2024Rewrite the response options '0-5, 5-10, 10-15' so that they no longer overlap.
  5. 5th November 2024A series of 4-point moving averages is 45, 48, 52, 55. Describe the trend shown by these values.
  6. 6th November 2024A bag has only red, blue and green counters. P(red) = 0.5 and P(blue) = 0.2. Find P(green).
  7. 7th November 2024State one reason why a histogram has no gaps between its bars, unlike a bar chart.
  8. 8th November 2024Box 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?
  9. 9th November 2024Using 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.
  10. 10th November 2024Test scores are normally distributed with mean 65 and standard deviation 8. Estimate the percentage of students scoring between 65 and 81.
  11. 11th November 2024For a data set, Sxy = 30, Sxx = 50, Syy = 40. Calculate the PMCC to 3 significant figures.
  12. 12th November 2024A class interval has width 5 and frequency 20. Find the frequency density.
  13. 13th November 2024A data set has Q1 = 20 and Q3 = 32. Is a value of 55 an outlier? Use the 1.5 x IQR rule.
  14. 14th November 2024P(A) = 1/2, P(B) = 1/3, P(A and B) = 1/6. Find P(A or B).
  15. 15th November 2024The 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.
  16. 16th November 2024What is wrong with the question 'How old are you and do you smoke?'
  17. 17th November 2024Find the 3-point moving average of 10, 14, 18.
  18. 18th November 2024P(A) = 0.4 and P(B) = 0.35, where A and B are mutually exclusive. Find P(A or B).
  19. 19th November 2024A histogram has bars of equal width. True or false: the height of each bar represents the frequency for that class.
  20. 20th November 2024Name the five values needed to draw a box plot.
  21. 21st November 2024A 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.
  22. 22nd November 2024A normally distributed data set has mean 40 and standard deviation 3. Estimate the percentage of values above 43.
  23. 23rd November 2024A 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.
  24. 24th November 2024A 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.
  25. 25th November 2024A data set has Q1 = 12 and Q3 = 20. Calculate the IQR and the upper outlier boundary.
  26. 26th November 2024Out 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.
  27. 27th November 2024A class interval 0-10 has frequency 6. Find frequency x midpoint.
  28. 28th November 2024A survey question offers the response options 'Never, Sometimes, Always'. State one improvement that could be made.
  29. 29th November 2024Find the 4-point moving average of 12, 16, 20, 10.
  30. 30th November 2024Are 'rolling an even number' and 'rolling a 5' on a normal six-sided dice mutually exclusive?

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