Daily Practice · Higher

September 2017 5-a-day

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September 2017

30 sheets · 150 questions · Higher tier

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The batch download puts all 2 tiers' September 2017 sheets in a single PDF, each tier behind its own divider page - 60 sheets in one file.

Every sheet in September 2017

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 2017The equation of a regression line is y = 3 + 2x. Find y when x = 5.
  2. 2nd September 2017A frequency table has intervals 0-10 (frequency 15) and 10-15 (frequency 20). Calculate the frequency density for each.
  3. 3rd September 2017Using the data in the previous question, a delegate aged 65 attends. Is this delegate's age an outlier? Explain.
  4. 4th September 2017P(A) = 0.4, P(B) = 0.3, P(A and B) = 0.1. Find P(A or B).
  5. 5th September 2017Find the midpoint of the class interval 30-50.
  6. 6th September 2017Explain why a pilot survey should be carried out before the full survey is sent out.
  7. 7th September 2017Find the 3-point moving average of 14, 18, 20.
  8. 8th September 2017A 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).
  9. 9th September 2017Using the same histogram, how many students scored between 10 and 30 marks?
  10. 10th September 2017A 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?
  11. 11th September 2017A set of weekly pocket money amounts, in pounds, is: 5, 6, 5, 500, 7, 6. Identify the likely outlier.
  12. 12th September 2017IQ scores are normally distributed with mean 100 and standard deviation 15. Out of 1000 people, estimate how many have an IQ above 130.
  13. 13th September 2017A PMCC value of r = 0.85 is calculated for two variables. Describe the strength and direction of the correlation.
  14. 14th September 2017Two intervals both have frequency 30: one has width 5 and one has width 15. Explain which interval has the taller histogram bar, and why.
  15. 15th September 2017A data set has Q1 = 15 and Q3 = 45. Calculate both outlier boundaries.
  16. 16th September 2017P(A) = 0.55 and P(B) = 0.4. Events A and B are mutually exclusive. Find P(A or B).
  17. 17th September 2017A table has class intervals with frequency x midpoint totals of 45, 120, 90 and frequencies 5, 8, 6. Find the estimated mean.
  18. 18th September 2017Give one reason why the response options '0-5, 5-10, 10-15' are a poor choice for hours of homework.
  19. 19th September 2017Find the 4-point moving average of 8, 12, 16, 20.
  20. 20th September 2017P(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).
  21. 21st September 2017A histogram has unequal class widths. Explain why the height of a bar can no longer be read directly as the frequency.
  22. 22nd September 2017Box 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?
  23. 23rd September 2017A data set of ages is: 12, 13, 12, 14, -12, 13. Which value is clearly an error, and why?
  24. 24th September 2017A normal distribution has mean 100 and standard deviation 15. What range contains approximately 95% of the data?
  25. 25th September 2017A PMCC value of r = -0.2 is calculated. Describe the correlation.
  26. 26th September 2017A class interval 10-30 (width 20) has frequency density 3. Find the frequency.
  27. 27th September 2017A 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.
  28. 28th September 2017P(A) = 0.6, P(A or B) = 0.75, and P(A and B) = 0.2. Find P(B).
  29. 29th September 2017The table shows weights, in kg, of 20 parcels: 0-5 (freq 4), 5-10 (freq 10), 10-15 (freq 6). Estimate the mean weight.
  30. 30th September 2017Rewrite the response options '0-5, 5-10, 10-15' so that they no longer overlap.

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