Daily Practice · Foundation
November 2013 5-a-day
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The batch download puts all 2 tiers' November 2013 sheets in a single PDF, each tier behind its own divider page - 60 sheets in one file.
Every sheet in November 2013
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st November 2013A 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.
- 2nd November 2013Using the same table (0:4, 1:10, 2:4, 3:2), find the mean number of siblings.
- 3rd November 2013The 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.
- 4th November 2013A 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).
- 5th November 2013The probability that a train is late is 0.15. Out of 200 trains, how many would you expect to be late?
- 6th November 2013The probability that a machine produces a faulty item is 0.04. Out of 300 items, how many would you expect to be faulty?
- 7th November 2013A box has 3 faulty bulbs out of 10. Two bulbs are chosen without replacement. Find the probability at least one is faulty.
- 8th November 2013In a pyramid, the bars for ages 65+ are unusually long compared with younger age bands. Give one possible reason.
- 9th November 2013A data set has mean 12, median 12, mode 12. Describe its skew.
- 10th November 2013A sample of 80 light bulbs from a batch of 2000 found 4 were faulty. Estimate the number of faulty bulbs in the whole batch.
- 11th November 2013The mean of 6 numbers is 15. Five of the numbers are 10, 12, 14, 18, 20. Find the sixth number.
- 12th November 2013State one advantage of random sampling.
- 13th November 2013What is meant by a control variable?
- 14th November 2013Values 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.
- 15th November 2013A pie chart shows four categories with angles 90, 120, 60 and x degrees. Find x.
- 16th November 2013Events A and B are mutually exclusive with P(A) = 0.3 and P(B) = 0.25. Find P(A or B).
- 17th November 2013Explain why estimating a y-value for x = 50 would be unreliable if all the plotted data only covers x-values from 0 to 20.
- 18th November 2013Two variables have a correlation coefficient close to 0. What does this suggest?
- 19th November 2013The Spearman's rank correlation coefficient between temperature and ice cream sales for 8 days is rs = 0.95. Describe the correlation.
- 20th November 2013A pilot survey shows that many respondents left a question blank. What might this suggest about the question?
- 21st November 2013A 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.
- 22nd November 2013Group A has 4 items with mean 12. Group B has 4 items with mean 20. Find the combined mean.
- 23rd November 2013The number of pets owned by 15 households, recorded as collected, is: 0,1,2,1,0,3,1,2,0,1,1,2,0,1,2. Complete a frequency table for the number of pets and state the total frequency.
- 24th November 2013A bar chart shows 3 bars: Dogs 12, Cats 9, Rabbits 5. How many pets are shown in total?
- 25th November 2013Using the same diagram (0|5 8, 1|2 2 6, 2|1), what is the range?
- 26th November 2013A cumulative frequency graph shows that a cumulative frequency of 45 corresponds to a value of 60 on the horizontal axis, out of 90 total data values. How many data values are above 60?
- 27th November 2013What is the purpose of the key on a choropleth map?
- 28th November 2013A data set of 50 exam scores has the 20th percentile at 42 marks and the 80th percentile at 78 marks. Explain what these two values tell you about the middle 60% of scores.
- 29th November 2013Which spreadsheet formula would you use to find the total of the values in cells B2 to B20?
- 30th November 2013A supermarket wants to know if a new till layout reduces queuing time. Write a suitable statistical question for the start of the enquiry cycle.