Daily Practice · Foundation
January 2011 5-a-day
Printing for a group?
The batch download puts all 2 tiers' January 2011 sheets in a single PDF, each tier behind its own divider page - 62 sheets in one file.
Every sheet in January 2011
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st January 2011A town of population 10,000 records 20 births in a year. Find the crude birth rate per 1000 people.
- 2nd January 2011A 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.
- 3rd January 2011Using the same table (0:4, 1:10, 2:4, 3:2), find the median number of siblings.
- 4th January 2011Data set X has a range of 12 and data set Y has a range of 5. Which data set is more consistent?
- 5th January 2011An index number is 140 with a base value of 20. Find this year's value.
- 6th January 2011A bag has 4 yellow and 6 white balls. What is P(picking a yellow ball)?
- 7th January 2011A dice is rolled 120 times and shows a 6 on 15 of those rolls. Find the relative frequency of rolling a 6.
- 8th January 2011A bag has 4 green and 6 yellow balls. One ball is drawn, replaced, then a second is drawn. Find P(both yellow).
- 9th January 2011A pyramid has a wide base and a narrow top. What does this suggest about the population?
- 10th January 2011A distribution has a long tail of high values on the right. What type of skew is this?
- 11th January 2011A 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.
- 12th January 2011Find the mode of 5, 6, 5, 8, 6, 6, 9.
- 13th January 2011State one disadvantage of quota sampling.
- 14th January 2011Give one reason why participants should be assigned to groups at random.
- 15th January 2011A class interval is written 10 <= x < 20. Which of these values belong in it: 10, 20, 15?
- 16th January 2011A pie chart represents 60 people. What angle represents 1 person?
- 17th January 2011A 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?
- 18th January 2011Using the line of best fit from the previous question, estimate the y-value when x = 6.
- 19th January 2011Define correlation in your own words.
- 20th January 2011The Spearman's rank correlation coefficient between the age of a used car and its price is rs = -0.88. Describe the correlation.
- 21st January 2011State one change a researcher might make to a questionnaire as a result of a pilot survey.
- 22nd January 2011State whether 'shoe size' is discrete or continuous, and explain why.
- 23rd January 2011Group A has 18 items with mean 62. Group B has 22 items with mean 70. Find the combined mean.
- 24th January 2011A tally shows 4 full groups of five plus 2 extra marks for one category. What is the frequency?
- 25th January 2011A 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?
- 26th January 2011Using the diagram from the question above, what is the mode?
- 27th January 2011A 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?
- 28th January 2011A choropleth map uses class intervals of 0-10, 10-30, 30-40 and 40-90. Why might this be misleading?
- 29th January 2011What percentage of data lies below the 40th percentile?
- 30th January 2011Which spreadsheet formula would you use to find how many values are in the range C1 to C50?
- 31st January 2011A researcher decides her sample size was too small after seeing her results. Which stage of the cycle does this belong to?