Daily Practice · Higher

November 1994 5-a-day

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November 1994

30 sheets · 150 questions · Higher tier

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Every sheet in November 1994

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 1994A PMCC value of r = 0.85 is calculated for two variables. Describe the strength and direction of the correlation.
  2. 2nd November 1994Two intervals both have frequency 30: one has width 5 and one has width 15. Explain which interval has the taller histogram bar, and why.
  3. 3rd November 1994A data set has Q1 = 15 and Q3 = 45. Calculate both outlier boundaries.
  4. 4th November 1994P(A) = 0.55 and P(B) = 0.4. Events A and B are mutually exclusive. Find P(A or B).
  5. 5th November 1994A table has class intervals with frequency x midpoint totals of 45, 120, 90 and frequencies 5, 8, 6. Find the estimated mean.
  6. 6th November 1994Give one reason why the response options '0-5, 5-10, 10-15' are a poor choice for hours of homework.
  7. 7th November 1994Find the 4-point moving average of 8, 12, 16, 20.
  8. 8th November 1994P(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).
  9. 9th November 1994A histogram has unequal class widths. Explain why the height of a bar can no longer be read directly as the frequency.
  10. 10th November 1994Box 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?
  11. 11th November 1994A data set of ages is: 12, 13, 12, 14, -12, 13. Which value is clearly an error, and why?
  12. 12th November 1994A normal distribution has mean 100 and standard deviation 15. What range contains approximately 95% of the data?
  13. 13th November 1994A PMCC value of r = -0.2 is calculated. Describe the correlation.
  14. 14th November 1994A class interval 10-30 (width 20) has frequency density 3. Find the frequency.
  15. 15th November 1994A 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.
  16. 16th November 1994P(A) = 0.6, P(A or B) = 0.75, and P(A and B) = 0.2. Find P(B).
  17. 17th November 1994The table shows weights, in kg, of 20 parcels: 0-5 (freq 4), 5-10 (freq 10), 10-15 (freq 6). Estimate the mean weight.
  18. 18th November 1994Rewrite the response options '0-5, 5-10, 10-15' so that they no longer overlap.
  19. 19th November 1994A series of 4-point moving averages is 45, 48, 52, 55. Describe the trend shown by these values.
  20. 20th November 1994A bag has only red, blue and green counters. P(red) = 0.5 and P(blue) = 0.2. Find P(green).
  21. 21st November 1994State one reason why a histogram has no gaps between its bars, unlike a bar chart.
  22. 22nd November 1994Box 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?
  23. 23rd November 1994Using 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.
  24. 24th November 1994Test scores are normally distributed with mean 65 and standard deviation 8. Estimate the percentage of students scoring between 65 and 81.
  25. 25th November 1994For a data set, Sxy = 30, Sxx = 50, Syy = 40. Calculate the PMCC to 3 significant figures.
  26. 26th November 1994A class interval has width 5 and frequency 20. Find the frequency density.
  27. 27th November 1994A data set has Q1 = 20 and Q3 = 32. Is a value of 55 an outlier? Use the 1.5 x IQR rule.
  28. 28th November 1994P(A) = 1/2, P(B) = 1/3, P(A and B) = 1/6. Find P(A or B).
  29. 29th November 1994The table shows ages, in years, of 50 people at a gym: 10-20 (freq 6), 20-30 (freq 18), 30-40 (freq 16), 40-50 (freq 10). Estimate the mean age.
  30. 30th November 1994What is wrong with the question 'How old are you and do you smoke?'

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