Daily Practice · Higher

November 2022 5-a-day

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November 2022

30 sheets · 150 questions · Higher tier

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The batch download puts all 2 tiers' November 2022 sheets in a single PDF, each tier behind its own divider page - 60 sheets in one file.

Every sheet in November 2022

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 2022P(A) = 0.55 and P(B) = 0.4. Events A and B are mutually exclusive. Find P(A or B).
  2. 2nd November 2022A table has class intervals with frequency x midpoint totals of 45, 120, 90 and frequencies 5, 8, 6. Find the estimated mean.
  3. 3rd November 2022Give one reason why the response options '0-5, 5-10, 10-15' are a poor choice for hours of homework.
  4. 4th November 2022Find the 4-point moving average of 8, 12, 16, 20.
  5. 5th November 2022P(rain) = 0.3 and P(snow) = 0.05 on a given day, and rain and snow are mutually exclusive that day. Find P(rain or snow).
  6. 6th November 2022A histogram has unequal class widths. Explain why the height of a bar can no longer be read directly as the frequency.
  7. 7th November 2022Box plot A has a median of 50 and box plot B has a median of 42, for the same type of data. What does this tell you about the two data sets?
  8. 8th November 2022A data set of ages is: 12, 13, 12, 14, -12, 13. Which value is clearly an error, and why?
  9. 9th November 2022A normal distribution has mean 100 and standard deviation 15. What range contains approximately 95% of the data?
  10. 10th November 2022A PMCC value of r = -0.2 is calculated. Describe the correlation.
  11. 11th November 2022A class interval 10-30 (width 20) has frequency density 3. Find the frequency.
  12. 12th November 2022A 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.
  13. 13th November 2022P(A) = 0.6, P(A or B) = 0.75, and P(A and B) = 0.2. Find P(B).
  14. 14th November 2022The table shows weights, in kg, of 20 parcels: 0-5 (freq 4), 5-10 (freq 10), 10-15 (freq 6). Estimate the mean weight.
  15. 15th November 2022Rewrite the response options '0-5, 5-10, 10-15' so that they no longer overlap.
  16. 16th November 2022A series of 4-point moving averages is 45, 48, 52, 55. Describe the trend shown by these values.
  17. 17th November 2022A bag has only red, blue and green counters. P(red) = 0.5 and P(blue) = 0.2. Find P(green).
  18. 18th November 2022State one reason why a histogram has no gaps between its bars, unlike a bar chart.
  19. 19th November 2022Box 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?
  20. 20th November 2022Using 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.
  21. 21st November 2022Test scores are normally distributed with mean 65 and standard deviation 8. Estimate the percentage of students scoring between 65 and 81.
  22. 22nd November 2022For a data set, Sxy = 30, Sxx = 50, Syy = 40. Calculate the PMCC to 3 significant figures.
  23. 23rd November 2022A class interval has width 5 and frequency 20. Find the frequency density.
  24. 24th November 2022A data set has Q1 = 20 and Q3 = 32. Is a value of 55 an outlier? Use the 1.5 x IQR rule.
  25. 25th November 2022P(A) = 1/2, P(B) = 1/3, P(A and B) = 1/6. Find P(A or B).
  26. 26th November 2022The 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.
  27. 27th November 2022What is wrong with the question 'How old are you and do you smoke?'
  28. 28th November 2022Find the 3-point moving average of 10, 14, 18.
  29. 29th November 2022P(A) = 0.4 and P(B) = 0.35, where A and B are mutually exclusive. Find P(A or B).
  30. 30th November 2022A histogram has bars of equal width. True or false: the height of each bar represents the frequency for that class.

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