Printable · GCSE Foundation · ages 14-16

Statistics worksheet — GCSE Foundation

Fifteen questions across the statistics statements at Foundation tier. Choose the non-calculator filter to rehearse Paper 1, which counts for a third of the marks.

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Statistics worksheet — GCSE Foundation

Maths · GCSE Foundation · Statistics · 15 questions

MathsUKwww.geekhero.co.uk

1.Harry counted the coins he found on each of six days: 5, 7, 8, 9, 11, 30. Write down the outlier.
(a)30
(b)8.5
(c)11
(d)5
2.A bar chart is drawn for a set of categorical data. Write down what the height of each bar represents.
(a)The total of all the data
(b)The mean of all the data
(c)The frequency of that category
(d)The number of different categories
3.A pupil writes this question for a school survey: “Do you agree that learning matters and that we should be set more homework?” Write down what is wrong with the survey question.
(a)It uses long words that most pupils will not understand
(b)It is too short for the reader to see the point
(c)It is fine, as it can be answered yes or no
(d)It asks two things at once and invites agreement
4.A scatter graph has 50 points. Most of them lie close to a rising line of best fit, but two of them lie a long way from that line. Write down how those two points should be treated.
(a)Move the line of best fit so that it passes through them
(b)Treat them as outliers and check them before deciding
(c)Delete them at once, since a far-off point is an error
(d)Take them as proof that there is no correlation at all
5.Grace asked 12 children how many brothers and sisters they have. Her results, in order, were 0, 0, 1, 1, 1, 1, 2, 2, 3, 3, 4, 6. Work out the median number of brothers and sisters.
(a)1.5
(b)1
(c)6
(d)2
6.A scatter graph plots the shoe size and the spelling test score of 25 pupils. The points are scattered with no pattern across the graph. Write down the type of correlation shown.
(a)No correlation
(b)Positive correlation
(c)Strong correlation
(d)Negative correlation
7.A company makes 50,000 light bulbs a day and wants to check how long they last before they fail. Testing a bulb to find out how long it lasts destroys it. Give a reason why the company should test a sample of bulbs rather than every bulb it makes.
(a)A sample is always more accurate than a census.
(b)It is against the law to test every bulb made.
(c)Testing every bulb uses too much electricity.
(d)Testing destroys bulbs, so testing all leaves none to sell.
8.A straight line is drawn on a scatter graph to show the trend of the points. Write down the name given to this line.
(a)A line joining the first and last points
(b)A horizontal line through the mean
(c)A line of best fit
(d)A line of symmetry
9.A scatter graph shows the number of pages, x, in a chapter and the time, y minutes, a pupil took to read it, for 15 chapters. The line of best fit has equation y = 2x + 3. Use the line of best fit to estimate the time taken to read a chapter of 10 pages.
y = 2x + 3
(a)23 minutes
(b)26 minutes
(c)20 minutes
(d)13 minutes
10.Write down what a scatter graph is used to show.
(a)The relationship between two variables
(b)How a total is shared between categories
(c)How one quantity changes over time
(d)The frequency of each single value
11.A town council wants to find out about the eating habits of the people who live in the town. It asks only the members of a local sports club. Give a reason why this sample is biased.
(a)The club has more members than the council needs
(b)The members were picked at random, so some will not reply
(c)Club members probably eat differently from most people
(d)Everyone asked lives in the town, so all are covered
12.A vertical line chart shows the number of pets owned by each pupil in a class: 0 pets — 5 pupils, 1 pet — 4 pupils, 2 pets — 3 pupils, 3 pets — 3 pupils. Work out the total number of pupils in the class.
(a)18 pupils
(b)15 pupils
(c)10 pupils
(d)6 pupils
13.The numbers 2, 4, 6, 8, 10 and 12 have a mean of 7 and a median of 7. The value 100 is now added to the list. Which measure is changed more by adding 100, and why?
(a)The median, because the median always jumps when the count of values changes from even to odd.
(b)The mean, because adding 100 to the list raises the mean by 100, from 7 up to 107.
(c)The mean, because every value counts towards it, so 100 pulls it from 7 up to about 20.3.
(d)The median, because 100 becomes the largest value, so the middle value moves from 7 to 12.
14.The lowest temperature in a garden in Sheffield was recorded on each of seven days: 3 °C, 5 °C, 2 °C, 7 °C, 4 °C, 6 °C and 3 °C. Write down what the range of these seven temperatures describes.
(a)The temperature that occurred most often in the week
(b)The temperature that was typical of the seven days
(c)How many different temperatures were recorded
(d)How much the temperatures varied over the seven days
15.Isla wants to find out the favourite television programme of the pupils at her school. She asks only her own close group of friends. Write down what is wrong with her sample.
(a)It is fine, as everyone she asked goes to her school
(b)It is too small, though it was picked at random
(c)It is not representative, as she picked her own friends
(d)It is too large, so she gets more replies than she needs

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