Statistics Starters:Average Smile: Calculate the mean, median and range of the given scores. Choc Bar Chart: Interpret data given in the form of a bar chart then create a new bar chart showing the given statistics. Pie Chart: An exercise in estimating what the sectors of a pie chart represent. Weather Maths: Eight mathematical questions about the current weather and times in four cities around the world.
Small images of these Starters :: Index of Starters Statistics Advanced Starters:Ghosts or Papua New Guinea: A probability prediction based on a biased sample SuggestedList Reading Practise reading numerical information from lists of different types.
Curriculum for Statistics:Year 5Pupils should be taught to solve comparison, sum and difference problems using information presented in a line graph more... Pupils should be taught to complete, read and interpret information in tables, including timetables. more... Year 6Pupils should be taught to interpret and construct pie charts and line graphs and use these to solve problems more... Pupils should be taught to calculate and interpret the mean as an average more... Years 7 to 9Pupils should be taught to describe, interpret and compare observed distributions of a single variable through: appropriate graphical representation involving discrete, continuous and grouped data; and appropriate measures of central tendency (mean, mode, median) and spread (range, consideration of outliers) more... Pupils should be taught to construct and interpret appropriate tables, charts, and diagrams, including frequency tables, bar charts, pie charts, and pictograms for categorical data, and vertical line (or bar) charts for ungrouped and grouped numerical data more... Pupils should be taught to describe simple mathematical relationships between two variables (bivariate data) in observational and experimental contexts and illustrate using scatter graphs. more... Years 10 and 11Pupils should be taught to infer properties of populations or distributions from a sample, whilst knowing the limitations of sampling more... Pupils should be taught to interpret and construct tables and line graphs for time series data more... Pupils should be taught to {construct and interpret diagrams for grouped discrete data and continuous data, ie, histograms with equal and unequal class intervals and cumulative frequency graphs, and know their appropriate use} more... Pupils should be taught to interpret, analyse and compare the distributions of data sets from univariate empirical distributions through appropriate graphical representation involving discrete, continuous and grouped data, {including box plots} and appropriate measures of central tendency (including modal class) and spread {including quartiles and inter-quartile range} more... Pupils should be taught to apply statistics to describe a population more... Pupils should be taught to use and interpret scatter graphs of bivariate data; recognise correlation and know that it does not indicate causation; draw estimated lines of best fit; make predictions; interpolate and extrapolate apparent trends whilst knowing the dangers of so doing. more... Years 12 and 13Pupils should be taught to understand and use the terms 'population' and 'sample'. Use samples to make informal inferences about the population. Understand and use sampling techniques, including simple random sampling and opportunity sampling. Select or critique sampling techniques in the context of solving a statistical problem, including understanding that different samples can lead to different conclusions about the population more... Pupils should be taught to interpret diagrams for single-variable data, including understanding that area in a histogram represents frequency. Students should be familiar with histograms, frequency polygons, box and whisker plots (including outliers) and cumulative frequency diagrams more... Pupils should be taught to interpret measures of central tendency and variation, extending to standard deviation. Be able to calculate standard deviation, including from summary statistics more... International BaccalaureateSee the Statistics and Probability sub-topics, syllabus statements, exam-style questions and learning resources for the IB AA course here. Exam-Style Questions:There are almost a thousand exam-style questions unique to the Transum website. Feedback:Comment recorded on the 3 October 'Starter of the Day' page by Mrs Johnstone, 7Je: "I think this is a brilliant website as all the students enjoy doing the puzzles and it is a brilliant way to start a lesson." Comment recorded on the 19 November 'Starter of the Day' page by Lesley Sewell, Ysgol Aberconwy, Wales: "A Maths colleague introduced me to your web site and I love to use it. The questions are so varied I can use them with all of my classes, I even let year 13 have a go at some of them. I like being able to access Starters for the whole month so I can use favourites with classes I see at different times of the week. Thanks." Comment recorded on the 9 May 'Starter of the Day' page by Liz, Kuwait: "I would like to thank you for the excellent resources which I used every day. My students would often turn up early to tackle the starter of the day as there were stamps for the first 5 finishers. We also had a lot of fun with the fun maths. All in all your resources provoked discussion and the students had a lot of fun." Comment recorded on the 19 October 'Starter of the Day' page by E Pollard, Huddersfield: "I used this with my bottom set in year 9. To engage them I used their name and favorite football team (or pop group) instead of the school name. For homework, I asked each student to find a definition for the key words they had been given (once they had fun trying to guess the answer) and they presented their findings to the rest of the class the following day. They felt really special because the key words came from their own personal information." Comment recorded on the 12 July 'Starter of the Day' page by Miss J Key, Farlingaye High School, Suffolk: "Thanks very much for this one. We developed it into a whole lesson and I borrowed some hats from the drama department to add to the fun!" Comment recorded on the 16 March 'Starter of the Day' page by Mrs A Milton, Ysgol Ardudwy: "I have used your starters for 3 years now and would not have a lesson without one! Fantastic way to engage the pupils at the start of a lesson." Comment recorded on the 25 June 'Starter of the Day' page by Inger.kisby@herts and essex.herts.sch.uk, : "We all love your starters. It is so good to have such a collection. We use them for all age groups and abilities. Have particularly enjoyed KIM's game, as we have not used that for Mathematics before. Keep up the good work and thank you very much Comment recorded on the 19 June 'Starter of the Day' page by Nikki Jordan, Braunton School, Devon: "Excellent. Thank you very much for a fabulous set of starters. I use the 'weekenders' if the daily ones are not quite what I want. Brilliant and much appreciated." Comment recorded on the i asp?ID_Top 'Starter of the Day' page by Ros, Belize: "A really awesome website! Teachers and students are learning in such a fun way! Keep it up..." Comment recorded on the 17 November 'Starter of the Day' page by Amy Thay, Coventry: "Thank you so much for your wonderful site. I have so much material to use in class and inspire me to try something a little different more often. I am going to show my maths department your website and encourage them to use it too. How lovely that you have compiled such a great resource to help teachers and pupils. Comment recorded on the 14 September 'Starter of the Day' page by Trish Bailey, Kingstone School: "This is a great memory aid which could be used for formulae or key facts etc - in any subject area. The PICTURE is such an aid to remembering where each number or group of numbers is - my pupils love it! Comment recorded on the 17 June 'Starter of the Day' page by Mr Hall, Light Hall School, Solihull: "Dear Transum, Comment recorded on the 2 April 'Starter of the Day' page by Mrs Wilshaw, Dunsten Collage,Essex: "This website was brilliant. My class and I really enjoy doing the activites." Comment recorded on the 14 October 'Starter of the Day' page by Inger Kisby, Herts and Essex High School: "Just a quick note to say that we use a lot of your starters. It is lovely to have so many different ideas to start a lesson with. Thank you very much and keep up the good work." Comment recorded on the 26 March 'Starter of the Day' page by Julie Reakes, The English College, Dubai: "It's great to have a starter that's timed and focuses the attention of everyone fully. I told them in advance I would do 10 then record their percentages." Comment recorded on the 9 April 'Starter of the Day' page by Jan, South Canterbury: "Thank you for sharing such a great resource. I was about to try and get together a bank of starters but time is always required elsewhere, so thank you." Comment recorded on the 9 October 'Starter of the Day' page by Mr Jones, Wales: "I think that having a starter of the day helps improve maths in general. My pupils say they love them!!!" Comment recorded on the 24 May 'Starter of the Day' page by Ruth Seward, Hagley Park Sports College: "Find the starters wonderful; students enjoy them and often want to use the idea generated by the starter in other parts of the lesson. Keep up the good work" Comment recorded on the 11 January 'Starter of the Day' page by S Johnson, The King John School: "We recently had an afternoon on accelerated learning.This linked really well and prompted a discussion about learning styles and short term memory." Comment recorded on the s /Indice 'Starter of the Day' page by Busolla, Australia: "Thank you very much for providing these resources for free for teachers and students. It has been engaging for the students - all trying to reach their highest level and competing with their peers while also learning. Thank you very much!" Comment recorded on the 5 April 'Starter of the Day' page by Mr Stoner, St George's College of Technology: "This resource has made a great deal of difference to the standard of starters for all of our lessons. Thank you for being so creative and imaginative." Comment recorded on the 18 September 'Starter of the Day' page by Mrs. Peacock, Downe House School and Kennet School: "My year 8's absolutely loved the "Separated Twins" starter. I set it as an optional piece of work for my year 11's over a weekend and one girl came up with 3 independant solutions." Comment recorded on the 6 May 'Starter of the Day' page by Natalie, London: "I am thankful for providing such wonderful starters. They are of immence help and the students enjoy them very much. These starters have saved my time and have made my lessons enjoyable." Comment recorded on the 28 September 'Starter of the Day' page by Malcolm P, Dorset: "A set of real life savers!! Comment recorded on the 10 April 'Starter of the Day' page by Mike Sendrove, Salt Grammar School, UK.: "A really useful set of resources - thanks. Is the collection available on CD? Are solutions available?" Comment recorded on the 1 May 'Starter of the Day' page by Phil Anthony, Head of Maths, Stourport High School: "What a brilliant website. We have just started to use the 'starter-of-the-day' in our yr9 lessons to try them out before we change from a high school to a secondary school in September. This is one of the best resources on-line we have found. The kids and staff love it. Well done an thank you very much for making my maths lessons more interesting and fun." Comment recorded on the 2 May 'Starter of the Day' page by Angela Lowry, : "I think these are great! So useful and handy, the children love them. Comment recorded on the 1 August 'Starter of the Day' page by Peter Wright, St Joseph's College: "Love using the Starter of the Day activities to get the students into Maths mode at the beginning of a lesson. Lots of interesting discussions and questions have arisen out of the activities. Comment recorded on the 8 May 'Starter of the Day' page by Mr Smith, West Sussex, UK: "I am an NQT and have only just discovered this website. I nearly wet my pants with joy. Comment recorded on the 21 October 'Starter of the Day' page by Mr Trainor And His P7 Class(All Girls), Mercy Primary School, Belfast: "My Primary 7 class in Mercy Primary school, Belfast, look forward to your mental maths starters every morning. The variety of material is interesting and exciting and always engages the teacher and pupils. Keep them coming please." |
Notes:Statistics is the study of the collection, organisation, analysis, interpretation and presentation of data. It deals with all aspects of data, including the planning of data collection in terms of the design of surveys and experiments. It also includes describing mathematical relationships between variables and presenting these to an audience in a way that best conveys meaning.
Statistics Teacher Resources:A Show Of Hands: Produce a number of graphs and charts from a quick show of hands. Pie Chart Creator: A quick and convenient tool for rapidly creating simple pie charts. Correlation: Arrange the given statements in groups to show the type of correlation they have. Human Scatter Graphs: Pupils move to positions in the room according to their data relative to the walls as axes. Code Cracking Presentation: A slide presentation showing techniques for cracking simple codes and ciphers. Centre and Variability: Make sense of and determine the reasonableness of the mean and median of a data set by looking at the values. Comparing Graphs: Would you recognise a misleading graph if you saw one? Try this comparative judgement exercise to rate statistical graphs. Normal Distribution Calculator: A customised online calculator for quickly finding areas under the normal distribution curve. Significance: A slide presentation showing how to use the chi-squared test to measure significance. Plinko Probability: A simulation of a Quincunx (Galton Board) which can be used to create the bell shaped curve of the normal distribution. t-Test Revision: A slide presentation designed to revise the key aspects of Student's t-Test. Statistics Activities:List Reading: Practise reading numerical information from lists of different types. Pin Drop: Estimate the probability of a drawing pin landing point up from experimental data. Bar Charts: Practise constructing and interpreting bar charts for everyday situations. Pictograms: Show that you can make sense of data displayed as pictograms and create some pictograms of your own. Pie Charts: Develop the skills to construct and interpret pie charts in this self-marking set of exercises. Averages: Test your understanding of averages with this self marking quiz about mean, median and range. Histograms: Practise drawing and reading information from histograms displaying grouped data Tally Charts: Read and draw simple tally charts to record and count different types of data. Choose Your Average: This is a game for two players. You should know how to find the mean, median and range of a set of numbers. Estimating Correlation: Practise the skill of estimating the correlation of data on a scatter graph in this self marking exercise. Correlation: Arrange the given statements in groups to show the type of correlation they have. Reading Graphs and Charts: Answer real-life problems from different types of graphs and charts including piece-wise linear graphs. Mixed Medians: Find the medians of sets of different types of numbers in these self-marking exercises. StatGrid Challenge: Arrange the numbers one to nine in a three by three grid to obtain the given means, medians and ranges. Code Cracker: Crack the code by replacing the encrypted letters in the given text. There are lots of hints provided about code breaking techniques. Cumulative Frequency: Online exercises on cumulative frequency for discrete and grouped data with exam-style questions. Comparing Graphs: Would you recognise a misleading graph if you saw one? Try this comparative judgement exercise to rate statistical graphs. Plotting Scatter Graphs: Plot scatter graphs from data representing a number of different everyday situations. Quartiles: Practise processing the sets of numbers to find the lower and upper quartiles. Box Plots: An exercise on reading and drawing box-and-whisker diagrams which represent statistical data. Standard Deviation: Find how 'spread out' data is by estimating and calculating this measure of dispersion. Odd Scatter Out: Just by looking at the scatter graphs can you decide which is the odd one out according to their summary statistics? Alternatively, for the more advanced student, there is an ever-growing collection of Exam-Style Questions with worked solutions on the topic of Statistics. Statistics Investigations:Reaction Time: When the numbers appear hit the correct button depending on whether the numbers are even or odd First Impressions: This activity will collect data about your first impressions of some optical illusions. You can then analyse the data to come to your own conclusions. Statistics Videos:Averages Video: Revise how to calculate the mean, median, mode and range from lists and frequency tables. It's not hard (Averages song): A really zany video revising mean, median, mode and range Mean, Median and Mode Song: A free trial lesson from Math Upgrade dot com. Tally Charts Video: A guided tour through the levels of the Tally Charts online exercise. Scatter Graphs: Maths teachers from England construct a scatter graph from their heights and shoe sizes. Visualising Data: Hans Rosling's famous lectures combine enormous quantities of public data with a sport's commentator's style to reveal the story of the world's past, present and future development. Box Plots Video: Box plots, sometimes called box and whisker diagrams, are a useful way of visualising data. Statistical Significance: This video explains numeric and categorical data and helps you gain an understanding of when to apply a t-test or a chi-square test. Statistics External Links:Links to other websites containing resources for Statistics are provided for those logged into 'Transum Mathematics'. Subscribing also opens up the opportunity for you to add your own links to this panel. You can sign up using one of the buttons below: SearchThe activity you are looking for may have been classified in a different way from the way you were expecting. You can search the whole of Transum Maths by using the box below.
OtherIs there anything you would have a regular use for that we don't feature here? Please let us know. SuggestedOdd Scatter Out Just by looking at the scatter graphs can you decide which is the odd one out according to their summary statistics?
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Teaching Notes:Many Transum activities have notes for teachers suggesting teaching methods and highlighting common misconceptions. There are also solutions to puzzles, exercises and activities available on the web pages when you are signed in to your Transum subscription account. If you do not yet have an account and you are a teacher, tutor or parent you can apply for one by completing the form on the Sign Up page. A Transum subscription also gives you access to the 'Class Admin' student management system, downloadable worksheets, many more teaching resources and opens up ad-free access to the Transum website for you and your pupils. | |
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Paul Metcalf, Twitter
Tuesday, April 16, 2019
Transum,
Monday, November 25, 2019
"87% of statistics are made up on the spot."