Daily Practice · Foundation

January 2018 5-a-day

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January 2018

31 sheets · 155 questions · Foundation tier

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The batch download puts all 2 tiers' January 2018 sheets in a single PDF, each tier behind its own divider page - 62 sheets in one file.

Every sheet in January 2018

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

  1. 1st January 2018The Spearman's rank correlation coefficient between the age of a used car and its price is rs = -0.88. Describe the correlation.
  2. 2nd January 2018State one change a researcher might make to a questionnaire as a result of a pilot survey.
  3. 3rd January 2018State whether 'shoe size' is discrete or continuous, and explain why.
  4. 4th January 2018Group A has 18 items with mean 62. Group B has 22 items with mean 70. Find the combined mean.
  5. 5th January 2018A tally shows 4 full groups of five plus 2 extra marks for one category. What is the frequency?
  6. 6th January 2018A 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?
  7. 7th January 2018Using the diagram from the question above, what is the mode?
  8. 8th January 2018A 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?
  9. 9th January 2018A choropleth map uses class intervals of 0-10, 10-30, 30-40 and 40-90. Why might this be misleading?
  10. 10th January 2018What percentage of data lies below the 40th percentile?
  11. 11th January 2018Which spreadsheet formula would you use to find how many values are in the range C1 to C50?
  12. 12th January 2018A researcher decides her sample size was too small after seeing her results. Which stage of the cycle does this belong to?
  13. 13th January 2018A question asks: 'Don't you agree that the new bus timetable is an improvement?' State what is wrong with this question.
  14. 14th January 2018For the ordered data 2, 4, 5, 7, 8, 9, 11, 13, 14, find the lower quartile (Q1) and upper quartile (Q3).
  15. 15th January 2018A pictogram shows 5 full symbols for apples sold, with a key of 1 symbol = 12 apples. How many apples were sold?
  16. 16th January 2018Using the two-coin sample space, find P(exactly one head).
  17. 17th January 2018A frequency polygon has classes of unequal width: 0-10 and 10-30. Explain why comparing the heights of the two plotted points directly can be misleading.
  18. 18th January 2018Explain why using a time series trend to estimate a value many years into the future is less reliable than estimating one year ahead.
  19. 19th January 2018Using your answers to the previous question, find the relative risk for phone users compared with non-users, and interpret it.
  20. 20th January 2018A pack of 10 cards is numbered 1 to 10. One card is drawn and not replaced; it is even. A second card is then drawn. Find P(second card is even given the first card was even).
  21. 21st January 2018A pie chart is drawn showing 3 sectors that look visually equal in size, but the data is 50%, 30% and 20%. What is wrong?
  22. 22nd January 2018A class interval 0-10 has frequency 6. Find frequency x midpoint.
  23. 23rd January 2018What is wrong with the question 'How old are you and do you smoke?'
  24. 24th January 2018What does a moving average smooth out in seasonal data, and what does the result reveal?
  25. 25th January 2018P(A) = 0.4 and P(B) = 0.35, where A and B are mutually exclusive. Find P(A or B).
  26. 26th January 2018A histogram has unequal class widths. Explain why the height of a bar can no longer be read directly as the frequency.
  27. 27th January 2018A box plot for 40 values has lower quartile 15 and upper quartile 25. Roughly how many of the 40 values lie between 15 and 25?
  28. 28th January 2018Explain why the median might be a more appropriate average to use on a data set with an outlier, instead of removing the outlier first.
  29. 29th January 2018A population falls from 8,000 to 7,600. Find the percentage rate of change, stating whether it is an increase or decrease.
  30. 30th January 2018A population of 90 people is split into 3 age groups: 30 aged 18 to 30, 40 aged 31 to 50, and 20 aged 51 or over. A stratified sample of 27 is needed. Find how many from the 51-or-over group should be sampled.
  31. 31st January 2018Using the same table (0:4, 1:10, 2:4, 3:2), find the range.

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