There are 366 different Starters of The Day, many to choose from. You will find in the left column below some starters on the topic of Statistics. In the right column below are links to related online activities, videos and teacher resources.

A lesson starter does not have to be on the same topic as the main part of the lesson or the topic of the previous lesson. It is often very useful to revise or explore other concepts by using a starter based on a totally different area of Mathematics.

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### 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.

### Statistics Advanced Starters:

Ghosts or Papua New Guinea: A probability prediction based on a biased sample

Index of Advanced Starters

#### Pin Drop

Estimate the probability of a drawing pin landing point up from experimental data.

The short web address is:

Transum.org/go/?to=pin

### Curriculum for Statistics:

#### Year 5

Pupils 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 6

Pupils 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 9

Pupils 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 11

Pupils 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 13

Pupils 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 Baccalaureate

See 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.

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Comment recorded on the 24 May 'Starter of the Day' page by Ruth Seward, Hagley Park Sports College:

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Thanks"

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"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
Best wishes from Inger Kisby"

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### 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.

See also the topics called Data Handling, Probability and Averages.

### 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:

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.

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

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.

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.

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.

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:

Transum's Statistics Video

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.

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:

### Search

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### Other

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#### Standard Deviation

Find how 'spread out' data is by estimating and calculating this measure of dispersion.

The short web address is:

Transum.org/go/?to=stddev

### 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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Tuesday, April 16, 2019

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Monday, November 25, 2019

"87% of statistics are made up on the spot."

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