Daily Practice · Higher

September 2018 5-a-day

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September 2018

30 sheets · 150 questions · Higher tier

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

Every sheet in September 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 September 2018Explain why a pilot survey should be carried out before the full survey is sent out.
  2. 2nd September 2018Find the 3-point moving average of 14, 18, 20.
  3. 3rd September 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).
  4. 4th September 2018Using the same histogram, how many students scored between 10 and 30 marks?
  5. 5th September 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?
  6. 6th September 2018A set of weekly pocket money amounts, in pounds, is: 5, 6, 5, 500, 7, 6. Identify the likely outlier.
  7. 7th September 2018IQ scores are normally distributed with mean 100 and standard deviation 15. Out of 1000 people, estimate how many have an IQ above 130.
  8. 8th September 2018A PMCC value of r = 0.85 is calculated for two variables. Describe the strength and direction of the correlation.
  9. 9th September 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.
  10. 10th September 2018A data set has Q1 = 15 and Q3 = 45. Calculate both outlier boundaries.
  11. 11th September 2018P(A) = 0.55 and P(B) = 0.4. Events A and B are mutually exclusive. Find P(A or B).
  12. 12th September 2018A table has class intervals with frequency x midpoint totals of 45, 120, 90 and frequencies 5, 8, 6. Find the estimated mean.
  13. 13th September 2018Give one reason why the response options '0-5, 5-10, 10-15' are a poor choice for hours of homework.
  14. 14th September 2018Find the 4-point moving average of 8, 12, 16, 20.
  15. 15th September 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).
  16. 16th September 2018A histogram has unequal class widths. Explain why the height of a bar can no longer be read directly as the frequency.
  17. 17th September 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?
  18. 18th September 2018A data set of ages is: 12, 13, 12, 14, -12, 13. Which value is clearly an error, and why?
  19. 19th September 2018A normal distribution has mean 100 and standard deviation 15. What range contains approximately 95% of the data?
  20. 20th September 2018A PMCC value of r = -0.2 is calculated. Describe the correlation.
  21. 21st September 2018A class interval 10-30 (width 20) has frequency density 3. Find the frequency.
  22. 22nd September 2018A 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.
  23. 23rd September 2018P(A) = 0.6, P(A or B) = 0.75, and P(A and B) = 0.2. Find P(B).
  24. 24th September 2018The table shows weights, in kg, of 20 parcels: 0-5 (freq 4), 5-10 (freq 10), 10-15 (freq 6). Estimate the mean weight.
  25. 25th September 2018Rewrite the response options '0-5, 5-10, 10-15' so that they no longer overlap.
  26. 26th September 2018A series of 4-point moving averages is 45, 48, 52, 55. Describe the trend shown by these values.
  27. 27th September 2018A bag has only red, blue and green counters. P(red) = 0.5 and P(blue) = 0.2. Find P(green).
  28. 28th September 2018State one reason why a histogram has no gaps between its bars, unlike a bar chart.
  29. 29th September 2018Box 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?
  30. 30th September 2018Using 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.

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