Daily Practice · Foundation

July 2002 5-a-day

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July 2002

31 sheets · 155 questions · Foundation tier

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The batch download puts all 2 tiers' July 2002 sheets in a single PDF, each tier behind its own divider page - 62 sheets in one file.

Every sheet in July 2002

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

  1. 1st July 2002A 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).
  2. 2nd July 2002State one reason why a histogram has no gaps between its bars, unlike a bar chart.
  3. 3rd July 2002Box 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?
  4. 4th July 2002A shop records daily sales in pounds: 340, 355, 360, 348, 2, 352. Which value looks like a data entry error?
  5. 5th July 2002A town of population 10,000 records 20 births in a year. Find the crude birth rate per 1000 people.
  6. 6th July 2002A researcher wants a stratified sample of 30 from a population of 300 split into three regions: North (90 people), South (150 people) and East (60 people). She actually samples 9 from the North, 14 from the South and 7 from the East. Show whether her sample is correctly stratified, stating the correct numbers if not.
  7. 7th July 2002Using the same table (0:4, 1:10, 2:4, 3:2), find the median number of siblings.
  8. 8th July 2002Data set X has a range of 12 and data set Y has a range of 5. Which data set is more consistent?
  9. 9th July 2002An index number is 140 with a base value of 20. Find this year's value.
  10. 10th July 2002A bag has 4 yellow and 6 white balls. What is P(picking a yellow ball)?
  11. 11th July 2002A dice is rolled 120 times and shows a 6 on 15 of those rolls. Find the relative frequency of rolling a 6.
  12. 12th July 2002A bag has 4 green and 6 yellow balls. One ball is drawn, replaced, then a second is drawn. Find P(both yellow).
  13. 13th July 2002A pyramid has a wide base and a narrow top. What does this suggest about the population?
  14. 14th July 2002A distribution has a long tail of high values on the right. What type of skew is this?
  15. 15th July 2002A quality inspector samples 120 items from a batch of 15000 and finds 3 defective, but the sample was taken only from items made in the last hour of the day. Explain why her estimate might not be reliable, and give the estimate assuming the sample were representative.
  16. 16th July 2002Find the mode of 5, 6, 5, 8, 6, 6, 9.
  17. 17th July 2002State one disadvantage of quota sampling.
  18. 18th July 2002Give one reason why participants should be assigned to groups at random.
  19. 19th July 2002A class interval is written 10 <= x < 20. Which of these values belong in it: 10, 20, 15?
  20. 20th July 2002A pie chart represents 60 people. What angle represents 1 person?
  21. 21st July 2002A rectangle labelled 20 contains two non-overlapping circles for events A and B with 8 and 5 inside them. How many outcomes are outside both circles?
  22. 22nd July 2002Using the line of best fit from the previous question, estimate the y-value when x = 6.
  23. 23rd July 2002Define correlation in your own words.
  24. 24th July 2002The Spearman's rank correlation coefficient between the age of a used car and its price is rs = -0.88. Describe the correlation.
  25. 25th July 2002State one change a researcher might make to a questionnaire as a result of a pilot survey.
  26. 26th July 2002State whether 'shoe size' is discrete or continuous, and explain why.
  27. 27th July 2002Group A has 18 items with mean 62. Group B has 22 items with mean 70. Find the combined mean.
  28. 28th July 2002A tally shows 4 full groups of five plus 2 extra marks for one category. What is the frequency?
  29. 29th July 2002A composite bar chart shows exam grades at a school: the bar has a section from 0 to 10 for Grade 9-7, a section from 10 to 34 for Grade 6-4, and a section from 34 to 40 for Grade 3-1. How many students got Grade 6-4?
  30. 30th July 2002Using the diagram from the question above, what is the mode?
  31. 31st July 2002A cumulative frequency graph for 80 data values is used to estimate the median. At what cumulative frequency value do you read across to the curve?

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