Daily Practice · Higher

November 2019 5-a-day

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November 2019

30 sheets · 150 questions · Higher tier

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The batch download puts all 2 tiers' November 2019 sheets in a single PDF, each tier behind its own divider page - 60 sheets in one file.

Every sheet in November 2019

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 2019The 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.
  2. 2nd November 2019The equation of a regression line is y = 3 + 2x. Find y when x = 5.
  3. 3rd November 2019A frequency table has intervals 0-10 (frequency 15) and 10-15 (frequency 20). Calculate the frequency density for each.
  4. 4th November 2019Using the data in the previous question, a delegate aged 65 attends. Is this delegate's age an outlier? Explain.
  5. 5th November 2019P(A) = 0.4, P(B) = 0.3, P(A and B) = 0.1. Find P(A or B).
  6. 6th November 2019Find the midpoint of the class interval 30-50.
  7. 7th November 2019Explain why a pilot survey should be carried out before the full survey is sent out.
  8. 8th November 2019Find the 3-point moving average of 14, 18, 20.
  9. 9th November 2019A game has four mutually exclusive outcomes: win, draw, lose, abandoned. P(win) = 0.45, P(draw) = 0.2, P(abandoned) = 0.05. Find P(lose).
  10. 10th November 2019Using the same histogram, how many students scored between 10 and 30 marks?
  11. 11th November 2019A box plot for 40 values has lower quartile 15 and upper quartile 25. Roughly how many of the 40 values lie between 15 and 25?
  12. 12th November 2019A set of weekly pocket money amounts, in pounds, is: 5, 6, 5, 500, 7, 6. Identify the likely outlier.
  13. 13th November 2019IQ scores are normally distributed with mean 100 and standard deviation 15. Out of 1000 people, estimate how many have an IQ above 130.
  14. 14th November 2019A PMCC value of r = 0.85 is calculated for two variables. Describe the strength and direction of the correlation.
  15. 15th November 2019Two intervals both have frequency 30: one has width 5 and one has width 15. Explain which interval has the taller histogram bar, and why.
  16. 16th November 2019A data set has Q1 = 15 and Q3 = 45. Calculate both outlier boundaries.
  17. 17th November 2019P(A) = 0.55 and P(B) = 0.4. Events A and B are mutually exclusive. Find P(A or B).
  18. 18th November 2019A table has class intervals with frequency x midpoint totals of 45, 120, 90 and frequencies 5, 8, 6. Find the estimated mean.
  19. 19th November 2019Give one reason why the response options '0-5, 5-10, 10-15' are a poor choice for hours of homework.
  20. 20th November 2019Find the 4-point moving average of 8, 12, 16, 20.
  21. 21st November 2019P(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).
  22. 22nd November 2019A histogram has unequal class widths. Explain why the height of a bar can no longer be read directly as the frequency.
  23. 23rd November 2019Box 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?
  24. 24th November 2019A data set of ages is: 12, 13, 12, 14, -12, 13. Which value is clearly an error, and why?
  25. 25th November 2019A normal distribution has mean 100 and standard deviation 15. What range contains approximately 95% of the data?
  26. 26th November 2019A PMCC value of r = -0.2 is calculated. Describe the correlation.
  27. 27th November 2019A class interval 10-30 (width 20) has frequency density 3. Find the frequency.
  28. 28th November 2019A 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.
  29. 29th November 2019P(A) = 0.6, P(A or B) = 0.75, and P(A and B) = 0.2. Find P(B).
  30. 30th November 2019The table shows weights, in kg, of 20 parcels: 0-5 (freq 4), 5-10 (freq 10), 10-15 (freq 6). Estimate the mean weight.

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