Daily Practice · Foundation
August 2014 5-a-day
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The batch download puts all 2 tiers' August 2014 sheets in a single PDF, each tier behind its own divider page - 62 sheets in one file.
Every sheet in August 2014
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st August 2014A 3D pie chart is used to show market share. Explain why 3D charts can be misleading.
- 2nd August 2014A table has class intervals with frequency x midpoint totals of 45, 120, 90 and frequencies 5, 8, 6. Find the estimated mean.
- 3rd August 2014Explain why a pilot survey should be carried out before the full survey is sent out.
- 4th August 2014Find the 4-point moving average of 12, 16, 20, 10.
- 5th August 2014P(rain) = 0.3 and P(snow) = 0.05 on a given day, and rain and snow are mutually exclusive that day. Find P(rain or snow).
- 6th August 2014Using the same histogram, how many students scored between 10 and 30 marks?
- 7th August 2014A box plot has lower quartile 10 and upper quartile 22. Find the interquartile range.
- 8th August 2014The heights (cm) of 6 plants are: 15, 18, 16, 14, 17, 150. Find the mean of the remaining values after removing the outlier.
- 9th August 2014Explain why a crude rate is more useful than a raw total, such as the total number of deaths, when comparing two towns of different sizes.
- 10th August 2014A factory has 400 workers: 160 in production, 120 in packing and 120 in admin. A stratified sample of 50 workers is needed. Find how many should be sampled from packing.
- 11th August 2014Using the same table (0:4, 1:10, 2:4, 3:2), find the mean number of siblings.
- 12th August 2014The mean rainfall in April was 45 mm with a range of 20 mm; in May it was 45 mm with a range of 8 mm. Compare April and May.
- 13th August 2014A cost index for electricity, relative to the same base year, was 120 in 2021 and 150 in 2023. Find the percentage increase in the cost of electricity from 2021 to 2023 (not from the base year).
- 14th August 2014The probability that a train is late is 0.15. Out of 200 trains, how many would you expect to be late?
- 15th August 2014The probability that a machine produces a faulty item is 0.04. Out of 300 items, how many would you expect to be faulty?
- 16th August 2014A box has 3 faulty bulbs out of 10. Two bulbs are chosen without replacement. Find the probability at least one is faulty.
- 17th August 2014In a pyramid, the bars for ages 65+ are unusually long compared with younger age bands. Give one possible reason.
- 18th August 2014A data set has mean 12, median 12, mode 12. Describe its skew.
- 19th August 2014A sample of 80 light bulbs from a batch of 2000 found 4 were faulty. Estimate the number of faulty bulbs in the whole batch.
- 20th August 2014The mean of 6 numbers is 15. Five of the numbers are 10, 12, 14, 18, 20. Find the sixth number.
- 21st August 2014State one advantage of random sampling.
- 22nd August 2014What is meant by a control variable?
- 23rd August 2014Values of 12, 18, 25, 31, 9, 22, 15 are grouped using intervals 0 <= x < 10, 10 <= x < 20, 20 <= x < 30, 30 <= x < 40. State the frequency of the interval 10 <= x < 20.
- 24th August 2014A pie chart shows four categories with angles 90, 120, 60 and x degrees. Find x.
- 25th August 2014Events A and B are mutually exclusive with P(A) = 0.3 and P(B) = 0.25. Find P(A or B).
- 26th August 2014Explain why estimating a y-value for x = 50 would be unreliable if all the plotted data only covers x-values from 0 to 20.
- 27th August 2014Two variables have a correlation coefficient close to 0. What does this suggest?
- 28th August 2014The Spearman's rank correlation coefficient between temperature and ice cream sales for 8 days is rs = 0.95. Describe the correlation.
- 29th August 2014A pilot survey shows that many respondents left a question blank. What might this suggest about the question?
- 30th August 2014A researcher records the exact temperature of 30 cups of tea to the nearest 0.1 degrees C. State the type of data, giving two features.
- 31st August 2014Group A has 4 items with mean 12. Group B has 4 items with mean 20. Find the combined mean.