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March 1999 5-a-day

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March 1999

31 sheets · 155 questions · Higher tier

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Every sheet in March 1999

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

  1. 1st March 1999A 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?
  2. 2nd March 1999A set of weekly pocket money amounts, in pounds, is: 5, 6, 5, 500, 7, 6. Identify the likely outlier.
  3. 3rd March 1999IQ scores are normally distributed with mean 100 and standard deviation 15. Out of 1000 people, estimate how many have an IQ above 130.
  4. 4th March 1999A PMCC value of r = 0.85 is calculated for two variables. Describe the strength and direction of the correlation.
  5. 5th March 1999Two intervals both have frequency 30: one has width 5 and one has width 15. Explain which interval has the taller histogram bar, and why.
  6. 6th March 1999A data set has Q1 = 15 and Q3 = 45. Calculate both outlier boundaries.
  7. 7th March 1999P(A) = 0.55 and P(B) = 0.4. Events A and B are mutually exclusive. Find P(A or B).
  8. 8th March 1999A table has class intervals with frequency x midpoint totals of 45, 120, 90 and frequencies 5, 8, 6. Find the estimated mean.
  9. 9th March 1999Give one reason why the response options '0-5, 5-10, 10-15' are a poor choice for hours of homework.
  10. 10th March 1999Find the 4-point moving average of 8, 12, 16, 20.
  11. 11th March 1999P(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).
  12. 12th March 1999A histogram has unequal class widths. Explain why the height of a bar can no longer be read directly as the frequency.
  13. 13th March 1999Box 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?
  14. 14th March 1999A data set of ages is: 12, 13, 12, 14, -12, 13. Which value is clearly an error, and why?
  15. 15th March 1999A normal distribution has mean 100 and standard deviation 15. What range contains approximately 95% of the data?
  16. 16th March 1999A PMCC value of r = -0.2 is calculated. Describe the correlation.
  17. 17th March 1999A class interval 10-30 (width 20) has frequency density 3. Find the frequency.
  18. 18th March 1999A 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.
  19. 19th March 1999P(A) = 0.6, P(A or B) = 0.75, and P(A and B) = 0.2. Find P(B).
  20. 20th March 1999The table shows weights, in kg, of 20 parcels: 0-5 (freq 4), 5-10 (freq 10), 10-15 (freq 6). Estimate the mean weight.
  21. 21st March 1999Rewrite the response options '0-5, 5-10, 10-15' so that they no longer overlap.
  22. 22nd March 1999A series of 4-point moving averages is 45, 48, 52, 55. Describe the trend shown by these values.
  23. 23rd March 1999A bag has only red, blue and green counters. P(red) = 0.5 and P(blue) = 0.2. Find P(green).
  24. 24th March 1999State one reason why a histogram has no gaps between its bars, unlike a bar chart.
  25. 25th March 1999Box 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?
  26. 26th March 1999Using 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.
  27. 27th March 1999Test scores are normally distributed with mean 65 and standard deviation 8. Estimate the percentage of students scoring between 65 and 81.
  28. 28th March 1999For a data set, Sxy = 30, Sxx = 50, Syy = 40. Calculate the PMCC to 3 significant figures.
  29. 29th March 1999A class interval has width 5 and frequency 20. Find the frequency density.
  30. 30th March 1999A data set has Q1 = 20 and Q3 = 32. Is a value of 55 an outlier? Use the 1.5 x IQR rule.
  31. 31st March 1999P(A) = 1/2, P(B) = 1/3, P(A and B) = 1/6. Find P(A or B).

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