Daily Practice · Foundation
December 2016 5-a-day
Printing for a group?
The batch download puts all 2 tiers' December 2016 sheets in a single PDF, each tier behind its own divider page - 62 sheets in one file.
Every sheet in December 2016
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st December 2016The heights (cm) of 6 plants are: 15, 18, 16, 14, 17, 150. Find the mean of the remaining values after removing the outlier.
- 2nd December 2016Explain 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.
- 3rd December 2016A 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.
- 4th December 2016Using the same table (0:4, 1:10, 2:4, 3:2), find the mean number of siblings.
- 5th December 2016The 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.
- 6th December 2016A 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).
- 7th December 2016The probability that a train is late is 0.15. Out of 200 trains, how many would you expect to be late?
- 8th December 2016The probability that a machine produces a faulty item is 0.04. Out of 300 items, how many would you expect to be faulty?
- 9th December 2016A box has 3 faulty bulbs out of 10. Two bulbs are chosen without replacement. Find the probability at least one is faulty.
- 10th December 2016In a pyramid, the bars for ages 65+ are unusually long compared with younger age bands. Give one possible reason.
- 11th December 2016A data set has mean 12, median 12, mode 12. Describe its skew.
- 12th December 2016A sample of 80 light bulbs from a batch of 2000 found 4 were faulty. Estimate the number of faulty bulbs in the whole batch.
- 13th December 2016The mean of 6 numbers is 15. Five of the numbers are 10, 12, 14, 18, 20. Find the sixth number.
- 14th December 2016State one advantage of random sampling.
- 15th December 2016What is meant by a control variable?
- 16th December 2016Values 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.
- 17th December 2016A pie chart shows four categories with angles 90, 120, 60 and x degrees. Find x.
- 18th December 2016Events A and B are mutually exclusive with P(A) = 0.3 and P(B) = 0.25. Find P(A or B).
- 19th December 2016Explain why estimating a y-value for x = 50 would be unreliable if all the plotted data only covers x-values from 0 to 20.
- 20th December 2016Two variables have a correlation coefficient close to 0. What does this suggest?
- 21st December 2016The Spearman's rank correlation coefficient between temperature and ice cream sales for 8 days is rs = 0.95. Describe the correlation.
- 22nd December 2016A pilot survey shows that many respondents left a question blank. What might this suggest about the question?
- 23rd December 2016A 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.
- 24th December 2016Group A has 4 items with mean 12. Group B has 4 items with mean 20. Find the combined mean.
- 25th December 2016The 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.
- 26th December 2016A bar chart shows 3 bars: Dogs 12, Cats 9, Rabbits 5. How many pets are shown in total?
- 27th December 2016Using the same diagram (0|5 8, 1|2 2 6, 2|1), what is the range?
- 28th December 2016A 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?
- 29th December 2016What is the purpose of the key on a choropleth map?
- 30th December 2016A 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.
- 31st December 2016Which spreadsheet formula would you use to find the total of the values in cells B2 to B20?