# Statistics Activities

## How to teach Statistics using Mangahigh - interpret data from different sources

Get your students engaged with interpreting data from different sources through the use of Mangahigh’s adaptive quiz ‘Interpret data from different sources’. Students will start with ‘Easy’ questions to help introduce new ideas and then move onto ‘Medium’ questions with some scaffolded support. Students then progress onto ‘Hard’ questions that really test their understanding, and the most able will move on to ‘Extreme’ questions that will challenge even the brightest students.

## Lesson idea for teaching 'interpret data from different sources'

Example of blended learning lesson

Discuss what these charts are and what information they are showing, covering briefly how they can look different but show the same information.
Set the Mangahigh activity ‘Interpret data from different sources’. Each time students play through the activity they will answer 10 questions. Encourage students to make at least three attempts, i.e. attempt at least 30 questions. Students will receive a bronze medal award and thus demonstrate they have a secure understanding if they can prove their competency at the hard questions. The most able students might achieve a silver or gold medal by answering extreme questions. Move through the class offering help where needed and challenge students to explain their solutions. Use your Mangahigh analytics platform to check progress and support struggling students.
Play through the activity ‘Interpret data from different sources’ from your Mangahigh teacher platform on the whiteboard with the whole class. Challenge students to explain their solutions.
Students return to the ‘Interpret data from different sources’. For the most able, set an additional activity ‘Use the range and mode’. Use your Mangahigh analytics platform to identify any students who have struggled with the first activity ‘Interpret data from different sources’ and support them or encourage them to work with their peers.
Draw the following diagram and ask the students to write on paper the answers to the following questions:
1. Which was the most popular, favourite colour?
2. More people choose their favourite colour to be blue rather than green, true or false?
3. Explain your reasoning for the previous question.

## How to teach Statistics using Mangahigh - frequency tables

Introduce your students to frequency tables through the use of Mangahigh’s adaptive quiz ‘Frequency tables’. Students will start with ‘Easy’ questions to help introduce new ideas and then move onto ‘Medium’ questions with some scaffolded support. Students then progress onto ‘Hard’ questions that really test their understanding, and the most able will move on to ‘Extreme’ questions that will challenge even the brightest students.

## Lesson idea for teaching frequency tables

Example of blended learning lesson

On the whiteboard draw this frequency table and take a quick hands up survey of the students favourite colour, filling in the frequency table. Discuss what information is shown in a frequency table.
Set the Mangahigh activity ‘Frequency tables’. Each time students play through the activity they will answer 10 questions. Encourage students to make at least three attempts, i.e. attempt at least 30 questions. Students will receive a bronze medal award and thus demonstrate they have a secure understanding if they can prove their competency at the hard questions. The most able students might achieve a silver or gold medal by answering extreme questions. Move through the class offering help where needed and challenge students to explain their solutions. Use your Mangahigh analytics platform to check progress and support struggling students.
Play through the activity ‘Frequency tables’ from your Mangahigh teacher platform on the whiteboard with the whole class. Challenge students to explain their solutions.
Students return to the ‘Frequency tables’. For the most able, set an additional activity ‘Use frequency tables’. Use your Mangahigh analytics platform to identify any students who have struggled with the first activity ‘Frequency tables’ and support them or encourage them to work with their peers.
Using the original frequency table drawn on the whiteboard, ask the following questions for the students to attempt on paper:

1. What does this frequency table show us?
2. How many student’s favourite colour is Blue?
3. Which colour is the most popular?
4. How many students are in the class?
5. How many students chose a favourite colour as either Orange or Yellow?

## Selection of statistics activities

Curriculum-aligned activities

### Use pictograms and block graphs

Record results in pictograms (where a picture represents just 1 item) and block graphs. Not including time series.

### Use Carroll and Venn Diagrams

Use Venn and Carroll diagrams to record sorting and classifying of information.

### Find the range

Calculate the range of a set of data. Include estimating the range from grouped data.

### Scatter Diagrams

Draw and read scatter diagrams. Draw conclusions from the graph, including examples where the line of best fit is already drawn.

### Find the Quartile and Interquartile Range

Find the lower quartile, upper quartile and interquartile range of a set of data represented in various forms that show all the data values. e.g. raw data list, stem and leaf diagram, frequency table. Understand the advantages and disadvantages of using the interquartile range as a measure of spread. Understand that the middle 50% of results lie between the upper and lower quartiles and interpret the meaning of the quartiles.

### Find And Use The Modal Average

Describe and interpret results and solutions to problems using the mode.

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