Daily Practice · Higher

November 2018 5-a-day

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November 2018

30 sheets · 150 questions · Higher tier

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The batch download puts all 2 tiers' November 2018 sheets in a single PDF, each tier behind its own divider page - 60 sheets in one file.

Every sheet in November 2018

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 2018What does a moving average smooth out in seasonal data, and what does the result reveal?
  2. 2nd November 2018A card is drawn at random from a normal 52-card pack. Find P(drawing a King or a Queen).
  3. 3rd November 2018A 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.
  4. 4th November 2018A box plot has lower quartile 10 and upper quartile 22. Find the interquartile range.
  5. 5th November 2018Test scores out of 50 are: 32, 28, 35, 30, 29, 31, 95. Which score cannot be correct, and why?
  6. 6th November 2018The 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.
  7. 7th November 2018The equation of a regression line is y = 3 + 2x. Find y when x = 5.
  8. 8th November 2018A frequency table has intervals 0-10 (frequency 15) and 10-15 (frequency 20). Calculate the frequency density for each.
  9. 9th November 2018Using the data in the previous question, a delegate aged 65 attends. Is this delegate's age an outlier? Explain.
  10. 10th November 2018P(A) = 0.4, P(B) = 0.3, P(A and B) = 0.1. Find P(A or B).
  11. 11th November 2018Find the midpoint of the class interval 30-50.
  12. 12th November 2018Explain why a pilot survey should be carried out before the full survey is sent out.
  13. 13th November 2018Find the 3-point moving average of 14, 18, 20.
  14. 14th November 2018A 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).
  15. 15th November 2018Using the same histogram, how many students scored between 10 and 30 marks?
  16. 16th November 2018A 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?
  17. 17th November 2018A set of weekly pocket money amounts, in pounds, is: 5, 6, 5, 500, 7, 6. Identify the likely outlier.
  18. 18th November 2018IQ scores are normally distributed with mean 100 and standard deviation 15. Out of 1000 people, estimate how many have an IQ above 130.
  19. 19th November 2018A PMCC value of r = 0.85 is calculated for two variables. Describe the strength and direction of the correlation.
  20. 20th November 2018Two intervals both have frequency 30: one has width 5 and one has width 15. Explain which interval has the taller histogram bar, and why.
  21. 21st November 2018A data set has Q1 = 15 and Q3 = 45. Calculate both outlier boundaries.
  22. 22nd November 2018P(A) = 0.55 and P(B) = 0.4. Events A and B are mutually exclusive. Find P(A or B).
  23. 23rd November 2018A table has class intervals with frequency x midpoint totals of 45, 120, 90 and frequencies 5, 8, 6. Find the estimated mean.
  24. 24th November 2018Give one reason why the response options '0-5, 5-10, 10-15' are a poor choice for hours of homework.
  25. 25th November 2018Find the 4-point moving average of 8, 12, 16, 20.
  26. 26th November 2018P(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).
  27. 27th November 2018A histogram has unequal class widths. Explain why the height of a bar can no longer be read directly as the frequency.
  28. 28th November 2018Box 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?
  29. 29th November 2018A data set of ages is: 12, 13, 12, 14, -12, 13. Which value is clearly an error, and why?
  30. 30th November 2018A normal distribution has mean 100 and standard deviation 15. What range contains approximately 95% of the data?

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