Daily Practice · Higher

May 2000 5-a-day

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May 2000

31 sheets · 155 questions · Higher tier

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Every sheet in May 2000

The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.

  1. 1st May 2000Find the midpoint of the class interval 30-50.
  2. 2nd May 2000Explain why a pilot survey should be carried out before the full survey is sent out.
  3. 3rd May 2000Find the 3-point moving average of 14, 18, 20.
  4. 4th May 2000A 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).
  5. 5th May 2000Using the same histogram, how many students scored between 10 and 30 marks?
  6. 6th May 2000A 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?
  7. 7th May 2000A set of weekly pocket money amounts, in pounds, is: 5, 6, 5, 500, 7, 6. Identify the likely outlier.
  8. 8th May 2000IQ scores are normally distributed with mean 100 and standard deviation 15. Out of 1000 people, estimate how many have an IQ above 130.
  9. 9th May 2000A PMCC value of r = 0.85 is calculated for two variables. Describe the strength and direction of the correlation.
  10. 10th May 2000Two intervals both have frequency 30: one has width 5 and one has width 15. Explain which interval has the taller histogram bar, and why.
  11. 11th May 2000A data set has Q1 = 15 and Q3 = 45. Calculate both outlier boundaries.
  12. 12th May 2000P(A) = 0.55 and P(B) = 0.4. Events A and B are mutually exclusive. Find P(A or B).
  13. 13th May 2000A table has class intervals with frequency x midpoint totals of 45, 120, 90 and frequencies 5, 8, 6. Find the estimated mean.
  14. 14th May 2000Give one reason why the response options '0-5, 5-10, 10-15' are a poor choice for hours of homework.
  15. 15th May 2000Find the 4-point moving average of 8, 12, 16, 20.
  16. 16th May 2000P(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).
  17. 17th May 2000A histogram has unequal class widths. Explain why the height of a bar can no longer be read directly as the frequency.
  18. 18th May 2000Box 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?
  19. 19th May 2000A data set of ages is: 12, 13, 12, 14, -12, 13. Which value is clearly an error, and why?
  20. 20th May 2000A normal distribution has mean 100 and standard deviation 15. What range contains approximately 95% of the data?
  21. 21st May 2000A PMCC value of r = -0.2 is calculated. Describe the correlation.
  22. 22nd May 2000A class interval 10-30 (width 20) has frequency density 3. Find the frequency.
  23. 23rd May 2000A 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.
  24. 24th May 2000P(A) = 0.6, P(A or B) = 0.75, and P(A and B) = 0.2. Find P(B).
  25. 25th May 2000The table shows weights, in kg, of 20 parcels: 0-5 (freq 4), 5-10 (freq 10), 10-15 (freq 6). Estimate the mean weight.
  26. 26th May 2000Rewrite the response options '0-5, 5-10, 10-15' so that they no longer overlap.
  27. 27th May 2000A series of 4-point moving averages is 45, 48, 52, 55. Describe the trend shown by these values.
  28. 28th May 2000A bag has only red, blue and green counters. P(red) = 0.5 and P(blue) = 0.2. Find P(green).
  29. 29th May 2000State one reason why a histogram has no gaps between its bars, unlike a bar chart.
  30. 30th May 2000Box 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?
  31. 31st May 2000Using 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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