Daily Practice · Foundation
December 2015 5-a-day
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The batch download puts all 2 tiers' December 2015 sheets in a single PDF, each tier behind its own divider page - 62 sheets in one file.
Every sheet in December 2015
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st December 2015A box plot shows a long whisker on the left and a short whisker on the right, with the median close to the right of the box. What type of skew does this suggest?
- 2nd December 2015A survey of 30 shoppers out of 900 in a store found the mean amount spent was 18.50 pounds. What is the best estimate of the mean amount spent by all 900 shoppers?
- 3rd December 2015Find the median of 8, 3, 15, 3, 10.
- 4th December 2015A school of 600 students wants a sample of 30. A teacher decides to only survey students in her own class of 30. State one problem with this method.
- 5th December 2015A scientist tests a new plant food but only uses it on the healthiest-looking plants. Explain why this is a flawed design.
- 6th December 2015The frequencies for four class intervals are 6, 9, 11, 4. Find the total number of data values.
- 7th December 2015In a pie chart representing 120 people, 30 people chose 'Yes'. What angle represents 'Yes'?
- 8th December 2015A Venn diagram shows 40 people: 22 own a car, 15 own a bike, 6 own both. Find the probability a random person owns neither.
- 9th December 2015A scatter graph shows points scattered with no clear pattern. What type of correlation does this show?
- 10th December 2015A researcher finds that towns with more fire engines have more fire damage, and concludes that fire engines cause fire damage. Identify the flaw in this reasoning and suggest the true common cause.
- 11th December 2015Two data sets give correlation coefficients rs = 0.6 and rs = -0.9. Which shows the stronger relationship?
- 12th December 2015What is a pilot survey?
- 13th December 2015Is 'height of a plant in cm' discrete or continuous data?
- 14th December 2015Three groups have 8 items with mean 10, 12 items with mean 15, and 5 items with mean 20. Find the combined mean.
- 15th December 2015Using the survey in the previous question (Red 6, Blue 9, Green 4, Yellow 5), which colour is the mode?
- 16th December 2015A bar chart uses a scale where each small square represents 2 people. A bar is 7 squares tall. How many people does the bar represent?
- 17th December 2015A stem-and-leaf row, with key '3|1 means 31', is '3|0 2 4 4 7 9'. Find the median of these six values.
- 18th December 2015A frequency table has class frequencies 5, 9, 14, 7 for four consecutive classes. Find the cumulative frequency of the third class.
- 19th December 2015A choropleth map of rainfall uses two different hues (for example yellow to red) rather than one hue getting darker. Why can this style of shading be a problem?
- 20th December 2015In a class of 30 students, a student's mark is at the 90th percentile. Roughly how many students scored less than or equal to that mark?
- 21st December 2015Data on 200 students' exam scores is in a spreadsheet. Give one advantage of using a spreadsheet rather than calculating the mean and range by hand.
- 22nd December 2015Which stage of the statistical enquiry cycle comes immediately after collecting the data?
- 23rd December 2015A student uses figures from a government website for her project. Is this primary or secondary data?
- 24th December 2015Find the median of: 3, 5, 8, 10.
- 25th December 2015Two rows of a pictogram show 4.5 symbols and 3.5 symbols, with a key of 1 symbol = 20 pounds. Work out the combined total for both rows.
- 26th December 2015Using two fair six-sided dice added together, find P(total is 7).
- 27th December 2015Two frequency polygons are drawn on the same axes for boys' and girls' test scores. What feature of the graphs shows which group generally scored higher?
- 28th December 2015A time series graph generally slopes upward from left to right over several years. What is this called?
- 29th December 2015Out of 600 drivers who used a phone while driving, 24 had an accident that year, compared with 9 out of 900 drivers who did not use a phone. Calculate the risk of an accident for each group.
- 30th December 2015In a survey of 40 students, 25 like Maths. Of those 25, 18 also like Science. Find P(likes Science given likes Maths).
- 31st December 2015A bar chart's vertical axis runs from 0 to 10 in equal steps of 2. Is this axis likely to be misleading?