Daily Practice · Foundation
December 2007 5-a-day
Printing for a group?
The batch download puts all 2 tiers' December 2007 sheets in a single PDF, each tier behind its own divider page - 62 sheets in one file.
Every sheet in December 2007
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st December 2007A researcher wants a stratified sample of 30 from a population of 300 split into three regions: North (90 people), South (150 people) and East (60 people). She actually samples 9 from the North, 14 from the South and 7 from the East. Show whether her sample is correctly stratified, stating the correct numbers if not.
- 2nd December 2007Using the same table (0:4, 1:10, 2:4, 3:2), find the median number of siblings.
- 3rd December 2007Data set X has a range of 12 and data set Y has a range of 5. Which data set is more consistent?
- 4th December 2007An index number is 140 with a base value of 20. Find this year's value.
- 5th December 2007A bag has 4 yellow and 6 white balls. What is P(picking a yellow ball)?
- 6th December 2007A dice is rolled 120 times and shows a 6 on 15 of those rolls. Find the relative frequency of rolling a 6.
- 7th December 2007A bag has 4 green and 6 yellow balls. One ball is drawn, replaced, then a second is drawn. Find P(both yellow).
- 8th December 2007A pyramid has a wide base and a narrow top. What does this suggest about the population?
- 9th December 2007A distribution has a long tail of high values on the right. What type of skew is this?
- 10th December 2007A quality inspector samples 120 items from a batch of 15000 and finds 3 defective, but the sample was taken only from items made in the last hour of the day. Explain why her estimate might not be reliable, and give the estimate assuming the sample were representative.
- 11th December 2007Find the mode of 5, 6, 5, 8, 6, 6, 9.
- 12th December 2007State one disadvantage of quota sampling.
- 13th December 2007Give one reason why participants should be assigned to groups at random.
- 14th December 2007A class interval is written 10 <= x < 20. Which of these values belong in it: 10, 20, 15?
- 15th December 2007A pie chart represents 60 people. What angle represents 1 person?
- 16th December 2007A rectangle labelled 20 contains two non-overlapping circles for events A and B with 8 and 5 inside them. How many outcomes are outside both circles?
- 17th December 2007Using the line of best fit from the previous question, estimate the y-value when x = 6.
- 18th December 2007Define correlation in your own words.
- 19th December 2007The Spearman's rank correlation coefficient between the age of a used car and its price is rs = -0.88. Describe the correlation.
- 20th December 2007State one change a researcher might make to a questionnaire as a result of a pilot survey.
- 21st December 2007State whether 'shoe size' is discrete or continuous, and explain why.
- 22nd December 2007Group A has 18 items with mean 62. Group B has 22 items with mean 70. Find the combined mean.
- 23rd December 2007A tally shows 4 full groups of five plus 2 extra marks for one category. What is the frequency?
- 24th December 2007A 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?
- 25th December 2007Using the diagram from the question above, what is the mode?
- 26th December 2007A 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?
- 27th December 2007A choropleth map uses class intervals of 0-10, 10-30, 30-40 and 40-90. Why might this be misleading?
- 28th December 2007What percentage of data lies below the 40th percentile?
- 29th December 2007Which spreadsheet formula would you use to find how many values are in the range C1 to C50?
- 30th December 2007A researcher decides her sample size was too small after seeing her results. Which stage of the cycle does this belong to?
- 31st December 2007A question asks: 'Don't you agree that the new bus timetable is an improvement?' State what is wrong with this question.