Daily Practice · Foundation

July 1997 5-a-day

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July 1997

31 sheets · 155 questions · Foundation tier

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Every sheet in July 1997

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 1997Shop 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?
  2. 2nd July 1997The 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.
  3. 3rd July 1997A fair six-sided dice is rolled. What is P(rolling a 5)?
  4. 4th July 1997A spinner is spun 80 times and lands on blue 20 times. Estimate the probability of landing on blue.
  5. 5th July 1997Three branches from a single point are labelled 0.4, 0.35 and x. Find x.
  6. 6th July 1997Country 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?
  7. 7th July 1997A shop's till receipts have mode 5 pounds, median 8 pounds, mean 15 pounds. State the type of skew and give a reason.
  8. 8th July 1997A 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.
  9. 9th July 1997Find the range of 22, 9, 31, 14, 6, 27.
  10. 10th July 1997A gym has 900 members. A sample of 45 is needed using systematic sampling, with a random start of 12. Find the 4th person selected.
  11. 11th July 1997In 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?
  12. 12th July 1997Using the data in the previous question (12, 18, 25, 31, 9, 22, 15), state the frequency of the interval 20 <= x < 30.
  13. 13th July 1997A sector has an angle of 72 degrees in a pie chart representing 50 people in total. How many people does this sector represent?
  14. 14th July 1997In a Venn diagram, what does the region where two circles overlap represent?
  15. 15th July 1997A scatter graph shows points that generally fall from top left to bottom right. What type of correlation does this show?
  16. 16th July 1997A study finds a positive correlation between shoe size and reading ability in primary school children. Does having big feet cause better reading?
  17. 17th July 1997A 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.
  18. 18th July 1997A tick-box question has the options '0-10', '10-20', '20-30'. What problem would a pilot survey likely identify with this?
  19. 19th July 1997Is 'number of pets owned' discrete or continuous data?
  20. 20th July 1997Group A has 6 items with mean 15. Group B has 9 items with mean 25. Find the combined mean.
  21. 21st July 1997A 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.
  22. 22nd July 1997Two 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?
  23. 23rd July 1997A 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?
  24. 24th July 1997Explain why a value read from a cumulative frequency graph, such as the median, is described as an estimate rather than an exact value.
  25. 25th July 1997On a choropleth map shaded from white (lowest) to black (highest), a region is coloured mid-grey. What does this suggest about its value?
  26. 26th July 1997A 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.
  27. 27th July 1997A column of 8 test scores is in cells D2 to D9. Give the formula for the mean score.
  28. 28th July 1997Name the first stage of the statistical enquiry cycle.
  29. 29th July 1997State one advantage secondary data has over primary data for a project on rainfall over the last 50 years.
  30. 30th July 1997A data set has Q1 = 22 and Q3 = 35. State the interquartile range and explain what it measures.
  31. 31st July 1997A pictogram key shows 1 symbol = 4 books. A row has 2 and a half symbols. How many books does the row represent?

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