Daily Practice · Foundation

August 2000 5-a-day

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August 2000

31 sheets · 155 questions · Foundation tier

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Every sheet in August 2000

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

  1. 1st August 2000A table shows number of siblings: 0 (freq 4), 1 (freq 10), 2 (freq 4), 3 (freq 2). Find the mode.
  2. 2nd August 2000Shop A's daily sales have an IQR of 40 pounds and Shop B's have an IQR of 15 pounds. Which shop has more variable daily sales?
  3. 3rd August 2000The price of milk was 0.80 pounds in the base year and 0.92 pounds this year. Find the index number for milk this year.
  4. 4th August 2000A fair six-sided dice is rolled. What is P(rolling a 5)?
  5. 5th August 2000A spinner is spun 80 times and lands on blue 20 times. Estimate the probability of landing on blue.
  6. 6th August 2000Three branches from a single point are labelled 0.4, 0.35 and x. Find x.
  7. 7th August 2000Country A's pyramid has a wide base and narrow top; Country B's has a narrow base and a wide middle/top. Which country most likely has the higher birth rate?
  8. 8th August 2000A shop's till receipts have mode 5 pounds, median 8 pounds, mean 15 pounds. State the type of skew and give a reason.
  9. 9th August 2000A random sample of 50 packets of crisps from a production run of 8000 found 3 were underweight. Estimate how many packets in the whole run are underweight.
  10. 10th August 2000Find the range of 22, 9, 31, 14, 6, 27.
  11. 11th August 2000A gym has 900 members. A sample of 45 is needed using systematic sampling, with a random start of 12. Find the 4th person selected.
  12. 12th August 2000In 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?
  13. 13th August 2000Using the data in the previous question (12, 18, 25, 31, 9, 22, 15), state the frequency of the interval 20 <= x < 30.
  14. 14th August 2000A sector has an angle of 72 degrees in a pie chart representing 50 people in total. How many people does this sector represent?
  15. 15th August 2000In a Venn diagram, what does the region where two circles overlap represent?
  16. 16th August 2000A scatter graph shows points that generally fall from top left to bottom right. What type of correlation does this show?
  17. 17th August 2000A study finds a positive correlation between shoe size and reading ability in primary school children. Does having big feet cause better reading?
  18. 18th August 2000A 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.
  19. 19th August 2000A tick-box question has the options '0-10', '10-20', '20-30'. What problem would a pilot survey likely identify with this?
  20. 20th August 2000Is 'number of pets owned' discrete or continuous data?
  21. 21st August 2000Group A has 6 items with mean 15. Group B has 9 items with mean 25. Find the combined mean.
  22. 22nd August 2000A 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.
  23. 23rd August 2000Two 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?
  24. 24th August 2000A 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?
  25. 25th August 2000Explain why a value read from a cumulative frequency graph, such as the median, is described as an estimate rather than an exact value.
  26. 26th August 2000On a choropleth map shaded from white (lowest) to black (highest), a region is coloured mid-grey. What does this suggest about its value?
  27. 27th August 2000A 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.
  28. 28th August 2000A column of 8 test scores is in cells D2 to D9. Give the formula for the mean score.
  29. 29th August 2000Name the first stage of the statistical enquiry cycle.
  30. 30th August 2000State one advantage secondary data has over primary data for a project on rainfall over the last 50 years.
  31. 31st August 2000A data set has Q1 = 22 and Q3 = 35. State the interquartile range and explain what it measures.

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