Daily Practice · Foundation
December 2014 5-a-day
Printing for a group?
The batch download puts all 2 tiers' December 2014 sheets in a single PDF, each tier behind its own divider page - 62 sheets in one file.
Every sheet in December 2014
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st December 2014State one change a researcher might make to a questionnaire as a result of a pilot survey.
- 2nd December 2014State whether 'shoe size' is discrete or continuous, and explain why.
- 3rd December 2014Group A has 18 items with mean 62. Group B has 22 items with mean 70. Find the combined mean.
- 4th December 2014A tally shows 4 full groups of five plus 2 extra marks for one category. What is the frequency?
- 5th December 2014A composite bar chart shows exam grades at a school: the bar has a section from 0 to 10 for Grade 9-7, a section from 10 to 34 for Grade 6-4, and a section from 34 to 40 for Grade 3-1. How many students got Grade 6-4?
- 6th December 2014Using the diagram from the question above, what is the mode?
- 7th December 2014A cumulative frequency graph for 80 data values is used to estimate the median. At what cumulative frequency value do you read across to the curve?
- 8th December 2014A choropleth map uses class intervals of 0-10, 10-30, 30-40 and 40-90. Why might this be misleading?
- 9th December 2014What percentage of data lies below the 40th percentile?
- 10th December 2014Which spreadsheet formula would you use to find how many values are in the range C1 to C50?
- 11th December 2014A researcher decides her sample size was too small after seeing her results. Which stage of the cycle does this belong to?
- 12th December 2014A question asks: 'Don't you agree that the new bus timetable is an improvement?' State what is wrong with this question.
- 13th December 2014For the ordered data 2, 4, 5, 7, 8, 9, 11, 13, 14, find the lower quartile (Q1) and upper quartile (Q3).
- 14th December 2014A pictogram shows 5 full symbols for apples sold, with a key of 1 symbol = 12 apples. How many apples were sold?
- 15th December 2014Using the two-coin sample space, find P(exactly one head).
- 16th December 2014A frequency polygon has classes of unequal width: 0-10 and 10-30. Explain why comparing the heights of the two plotted points directly can be misleading.
- 17th December 2014Explain why using a time series trend to estimate a value many years into the future is less reliable than estimating one year ahead.
- 18th December 2014Using your answers to the previous question, find the relative risk for phone users compared with non-users, and interpret it.
- 19th December 2014A pack of 10 cards is numbered 1 to 10. One card is drawn and not replaced; it is even. A second card is then drawn. Find P(second card is even given the first card was even).
- 20th December 2014A pie chart is drawn showing 3 sectors that look visually equal in size, but the data is 50%, 30% and 20%. What is wrong?
- 21st December 2014A class interval 0-10 has frequency 6. Find frequency x midpoint.
- 22nd December 2014What is wrong with the question 'How old are you and do you smoke?'
- 23rd December 2014What does a moving average smooth out in seasonal data, and what does the result reveal?
- 24th December 2014P(A) = 0.4 and P(B) = 0.35, where A and B are mutually exclusive. Find P(A or B).
- 25th December 2014A histogram has unequal class widths. Explain why the height of a bar can no longer be read directly as the frequency.
- 26th December 2014A 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?
- 27th December 2014Explain why the median might be a more appropriate average to use on a data set with an outlier, instead of removing the outlier first.
- 28th December 2014A population falls from 8,000 to 7,600. Find the percentage rate of change, stating whether it is an increase or decrease.
- 29th December 2014A 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.
- 30th December 2014Using the same table (0:4, 1:10, 2:4, 3:2), find the range.
- 31st December 2014Team 1 has median height 165 cm and Team 2 has median height 172 cm. Write one comparison in context.