Daily Practice · Higher

June 1996 5-a-day

← Today's Higher sheet

June 1996

30 sheets · 150 questions · Higher tier

Printing for a group?

The batch download puts all 2 tiers' June 1996 sheets in a single PDF, each tier behind its own divider page - 60 sheets in one file.

Every sheet in June 1996

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

  1. 1st June 1996A data set has Q1 = 15 and Q3 = 45. Calculate both outlier boundaries.
  2. 2nd June 1996P(A) = 0.55 and P(B) = 0.4. Events A and B are mutually exclusive. Find P(A or B).
  3. 3rd June 1996A table has class intervals with frequency x midpoint totals of 45, 120, 90 and frequencies 5, 8, 6. Find the estimated mean.
  4. 4th June 1996Give one reason why the response options '0-5, 5-10, 10-15' are a poor choice for hours of homework.
  5. 5th June 1996Find the 4-point moving average of 8, 12, 16, 20.
  6. 6th June 1996P(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).
  7. 7th June 1996A histogram has unequal class widths. Explain why the height of a bar can no longer be read directly as the frequency.
  8. 8th June 1996Box 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?
  9. 9th June 1996A data set of ages is: 12, 13, 12, 14, -12, 13. Which value is clearly an error, and why?
  10. 10th June 1996A normal distribution has mean 100 and standard deviation 15. What range contains approximately 95% of the data?
  11. 11th June 1996A PMCC value of r = -0.2 is calculated. Describe the correlation.
  12. 12th June 1996A class interval 10-30 (width 20) has frequency density 3. Find the frequency.
  13. 13th June 1996A 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.
  14. 14th June 1996P(A) = 0.6, P(A or B) = 0.75, and P(A and B) = 0.2. Find P(B).
  15. 15th June 1996The table shows weights, in kg, of 20 parcels: 0-5 (freq 4), 5-10 (freq 10), 10-15 (freq 6). Estimate the mean weight.
  16. 16th June 1996Rewrite the response options '0-5, 5-10, 10-15' so that they no longer overlap.
  17. 17th June 1996A series of 4-point moving averages is 45, 48, 52, 55. Describe the trend shown by these values.
  18. 18th June 1996A bag has only red, blue and green counters. P(red) = 0.5 and P(blue) = 0.2. Find P(green).
  19. 19th June 1996State one reason why a histogram has no gaps between its bars, unlike a bar chart.
  20. 20th June 1996Box 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?
  21. 21st June 1996Using 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.
  22. 22nd June 1996Test scores are normally distributed with mean 65 and standard deviation 8. Estimate the percentage of students scoring between 65 and 81.
  23. 23rd June 1996For a data set, Sxy = 30, Sxx = 50, Syy = 40. Calculate the PMCC to 3 significant figures.
  24. 24th June 1996A class interval has width 5 and frequency 20. Find the frequency density.
  25. 25th June 1996A data set has Q1 = 20 and Q3 = 32. Is a value of 55 an outlier? Use the 1.5 x IQR rule.
  26. 26th June 1996P(A) = 1/2, P(B) = 1/3, P(A and B) = 1/6. Find P(A or B).
  27. 27th June 1996The 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.
  28. 28th June 1996What is wrong with the question 'How old are you and do you smoke?'
  29. 29th June 1996Find the 3-point moving average of 10, 14, 18.
  30. 30th June 1996P(A) = 0.4 and P(B) = 0.35, where A and B are mutually exclusive. Find P(A or B).

The same month at another level