Daily Practice · Foundation

October 1996 5-a-day

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October 1996

31 sheets · 155 questions · Foundation tier

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Every sheet in October 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 October 1996A gym has 900 members. A sample of 45 is needed using systematic sampling, with a random start of 12. Find the 4th person selected.
  2. 2nd October 1996In a medicine trial, half the patients receive the real drug and half receive a dummy pill, and neither the patients nor the doctors know who received which until after results are recorded. What is this type of trial called, and why is it used?
  3. 3rd October 1996Using the data in the previous question (12, 18, 25, 31, 9, 22, 15), state the frequency of the interval 20 <= x < 30.
  4. 4th October 1996A sector has an angle of 72 degrees in a pie chart representing 50 people in total. How many people does this sector represent?
  5. 5th October 1996In a Venn diagram, what does the region where two circles overlap represent?
  6. 6th October 1996A scatter graph shows points that generally fall from top left to bottom right. What type of correlation does this show?
  7. 7th October 1996A study finds a positive correlation between shoe size and reading ability in primary school children. Does having big feet cause better reading?
  8. 8th October 1996A researcher finds rs = 0.99 between a town's number of ice cream vans and its number of sunburn cases, and concludes the vans cause sunburn. Explain why this conclusion may be wrong.
  9. 9th October 1996A tick-box question has the options '0-10', '10-20', '20-30'. What problem would a pilot survey likely identify with this?
  10. 10th October 1996Is 'number of pets owned' discrete or continuous data?
  11. 11th October 1996Group A has 6 items with mean 15. Group B has 9 items with mean 25. Find the combined mean.
  12. 12th October 1996A frequency table for test scores out of 10 shows: score 6 has frequency 5, score 7 has frequency 8, score 8 has frequency x, score 9 has frequency 3, and the total frequency is 25. Find x.
  13. 13th October 1996Two composite bars compare tea and coffee drinkers: Monday has a total of 60 drinks, of which 35 are tea; Tuesday has a total of 72 drinks, of which 40 are tea. On which day was a greater proportion of drinks tea?
  14. 14th October 1996A stem-and-leaf diagram has the row '1 | 4 7 9' with key '1|4 means 14'. What three data values does this row represent?
  15. 15th October 1996Explain why a value read from a cumulative frequency graph, such as the median, is described as an estimate rather than an exact value.
  16. 16th October 1996On a choropleth map shaded from white (lowest) to black (highest), a region is coloured mid-grey. What does this suggest about its value?
  17. 17th October 1996A cumulative frequency graph shows that a value of 18 corresponds to a cumulative frequency of 45 out of 60 total data points. Find the percentile.
  18. 18th October 1996A column of 8 test scores is in cells D2 to D9. Give the formula for the mean score.
  19. 19th October 1996Name the first stage of the statistical enquiry cycle.
  20. 20th October 1996State one advantage secondary data has over primary data for a project on rainfall over the last 50 years.
  21. 21st October 1996A data set has Q1 = 22 and Q3 = 35. State the interquartile range and explain what it measures.
  22. 22nd October 1996A pictogram key shows 1 symbol = 4 books. A row has 2 and a half symbols. How many books does the row represent?
  23. 23rd October 1996Two fair coins are flipped. How many equally likely outcomes are in the sample space?
  24. 24th October 1996A frequency table has classes 0-10, 10-20, 20-30 with frequencies 3, 9, 6. State all three coordinates for the frequency polygon.
  25. 25th October 1996On a time series graph, what is always plotted on the horizontal axis?
  26. 26th October 1996Group A has a risk of 0.08 of an event happening; Group B has a risk of 0.02. Find the relative risk of Group A compared with Group B.
  27. 27th October 1996A bag has 3 red, 4 green and 5 blue balls (12 total). One ball is removed at random and is blue. A second ball is then removed. Find P(second ball is red given the first ball was blue).
  28. 28th October 1996A 3D pie chart is used to show market share. Explain why 3D charts can be misleading.
  29. 29th October 1996A table has class intervals with frequency x midpoint totals of 45, 120, 90 and frequencies 5, 8, 6. Find the estimated mean.
  30. 30th October 1996Explain why a pilot survey should be carried out before the full survey is sent out.
  31. 31st October 1996Find the 4-point moving average of 12, 16, 20, 10.

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