Daily Practice · Foundation

October 2011 5-a-day

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October 2011

31 sheets · 155 questions · Foundation tier

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The batch download puts all 2 tiers' October 2011 sheets in a single PDF, each tier behind its own divider page - 62 sheets in one file.

Every sheet in October 2011

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

  1. 1st October 2011A drawer has 7 black socks and 5 white socks. Two socks are taken without replacement. Find P(second sock is black given the first sock was black).
  2. 2nd October 2011A line graph's horizontal (time) axis has unequal gaps between the years labelled: 2010, 2011, 2015, 2016. Why could this mislead a reader?
  3. 3rd October 2011The table shows weights, in kg, of 20 parcels: 0-5 (freq 4), 5-10 (freq 10), 10-15 (freq 6). Estimate the mean weight.
  4. 4th October 2011Rewrite the response options '0-5, 5-10, 10-15' so that they no longer overlap.
  5. 5th October 2011A series of 4-point moving averages is 45, 48, 52, 55. Describe the trend shown by these values.
  6. 6th October 2011A 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).
  7. 7th October 2011State one reason why a histogram has no gaps between its bars, unlike a bar chart.
  8. 8th October 2011Box 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 October 2011A shop records daily sales in pounds: 340, 355, 360, 348, 2, 352. Which value looks like a data entry error?
  10. 10th October 2011A town of population 10,000 records 20 births in a year. Find the crude birth rate per 1000 people.
  11. 11th October 2011A 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.
  12. 12th October 2011Using the same table (0:4, 1:10, 2:4, 3:2), find the median number of siblings.
  13. 13th October 2011Data set X has a range of 12 and data set Y has a range of 5. Which data set is more consistent?
  14. 14th October 2011An index number is 140 with a base value of 20. Find this year's value.
  15. 15th October 2011A bag has 4 yellow and 6 white balls. What is P(picking a yellow ball)?
  16. 16th October 2011A dice is rolled 120 times and shows a 6 on 15 of those rolls. Find the relative frequency of rolling a 6.
  17. 17th October 2011A bag has 4 green and 6 yellow balls. One ball is drawn, replaced, then a second is drawn. Find P(both yellow).
  18. 18th October 2011A pyramid has a wide base and a narrow top. What does this suggest about the population?
  19. 19th October 2011A distribution has a long tail of high values on the right. What type of skew is this?
  20. 20th October 2011A 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.
  21. 21st October 2011Find the mode of 5, 6, 5, 8, 6, 6, 9.
  22. 22nd October 2011State one disadvantage of quota sampling.
  23. 23rd October 2011Give one reason why participants should be assigned to groups at random.
  24. 24th October 2011A class interval is written 10 <= x < 20. Which of these values belong in it: 10, 20, 15?
  25. 25th October 2011A pie chart represents 60 people. What angle represents 1 person?
  26. 26th October 2011A 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?
  27. 27th October 2011Using the line of best fit from the previous question, estimate the y-value when x = 6.
  28. 28th October 2011Define correlation in your own words.
  29. 29th October 2011The Spearman's rank correlation coefficient between the age of a used car and its price is rs = -0.88. Describe the correlation.
  30. 30th October 2011State one change a researcher might make to a questionnaire as a result of a pilot survey.
  31. 31st October 2011State whether 'shoe size' is discrete or continuous, and explain why.

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