Daily Practice · Foundation

October 2015 5-a-day

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October 2015

31 sheets · 155 questions · Foundation tier

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The batch download puts all 2 tiers' October 2015 sheets in a single PDF, each tier behind its own divider page - 62 sheets in one file.

Every sheet in October 2015

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 2015What does a moving average smooth out in seasonal data, and what does the result reveal?
  2. 2nd October 2015P(A) = 0.4 and P(B) = 0.35, where A and B are mutually exclusive. Find P(A or B).
  3. 3rd October 2015A histogram has unequal class widths. Explain why the height of a bar can no longer be read directly as the frequency.
  4. 4th October 2015A 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?
  5. 5th October 2015Explain why the median might be a more appropriate average to use on a data set with an outlier, instead of removing the outlier first.
  6. 6th October 2015A population falls from 8,000 to 7,600. Find the percentage rate of change, stating whether it is an increase or decrease.
  7. 7th October 2015A 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.
  8. 8th October 2015Using the same table (0:4, 1:10, 2:4, 3:2), find the range.
  9. 9th October 2015Team 1 has median height 165 cm and Team 2 has median height 172 cm. Write one comparison in context.
  10. 10th October 2015A base year value is 40 and this year's value is 50. Find the index number.
  11. 11th October 2015A spinner has 8 equal sections numbered 1 to 8. What is P(the spinner lands on a number greater than 5)?
  12. 12th October 2015A coin is flipped 50 times and lands on heads 27 times. Find the relative frequency of heads.
  13. 13th October 2015On a tree diagram, what do you do to find the probability of a single path through the branches?
  14. 14th October 2015On a pyramid where male bars point left and female bars point right, the bar for females aged 20-24 is longer than the bar for males aged 20-24. What does this tell you?
  15. 15th October 2015Describe, using the mean and median, how you could tell that a distribution is positively skewed without drawing a graph.
  16. 16th October 2015A sample of 25 students from a school of 500 found that 5 walk to school. Estimate how many of all 500 students walk to school.
  17. 17th October 2015Find the mean of 4, 7, 9, 12, 18.
  18. 18th October 2015A researcher wants a sample of 50 from a population of 500 using systematic sampling, with a random start of 4. List the first three people selected.
  19. 19th October 2015What is a control group used for?
  20. 20th October 2015A grouped frequency table has intervals of unequal width, 0 <= x < 10 and 10 <= x < 40. Explain why this could make the table misleading when drawing a histogram.
  21. 21st October 2015A pie chart represents 200 people. One sector has an angle of 45 degrees. How many people does it represent?
  22. 22nd October 2015Out of 25 pupils, 12 like football, 9 like tennis, and 4 like both. How many like neither sport?
  23. 23rd October 2015A scatter graph shows points that generally rise from bottom left to top right. What type of correlation does this show?
  24. 24th October 2015A scatter graph shows that as temperature increases, the number of hot drinks sold decreases. What type of correlation is this?
  25. 25th October 2015For a class, the Spearman's rank correlation coefficient between shoe size and spelling test score is rs = 0.15. Describe the correlation.
  26. 26th October 2015A company pilots its customer feedback survey on 20 customers before sending it to all 5000 customers. Explain why using only 20 people is still useful.
  27. 27th October 2015A student uses last year's census results for her project instead of running her own survey. Is this primary or secondary data?
  28. 28th October 2015A class of 15 students has a mean score of 30. When combined with another class of 25 students, the combined mean of all 40 students is 40. Find the mean score of the second class.
  29. 29th October 2015A survey of favourite colours gives: Red 6, Blue 9, Green 4, Yellow 5. How many people were surveyed in total?
  30. 30th October 2015A bar chart shows the bar for 'Bus' with height 40 and the bar for 'Walk' with height 25. How many more pupils travel by bus than walk?
  31. 31st October 2015A stem-and-leaf diagram has rows: 0|5 8, 1|2 2 6, 2|1. How many data values are there in total?

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