## Core concept 5.1

## Statistical representations and measures

5.1.1.1* Understand what the mean is measuring, how it is measuring it and calculate the mean from data presented in a range of different ways

5.1.1.2 Understand what the median is measuring, how it is measuring it and find the median from data presented in a range of different ways

5.1.1.3* Understand what the mode is measuring, how it is measuring it and identify the mode from data presented in a range of different ways

5.1.1.4 Understand what the range is measuring, how it is measuring it and calculate the range from data presented in a range of different ways

### 5.1.1.1 Understand what the mean is measuring, how it is measuring it and calculate the mean from data presented in a range of different ways

●Calculate the mean from a list of data values.

●Apply knowledge of the mean to arithmetic problems.

●Correctly calculate the mean from a frequency table.

●Calculate the mean of data represented in a bar chart.

### 5.1.1.3 Understand what the mode is measuring, how it is measuring it and identify the mode from data presented in a range of different ways

●Identify the mode from qualitative data.

●Identify the modal value from a grouped frequency representation.

●Work confidently with data sets with no mode.

●Work confidently with data sets that are bimodal.

Introduce the three averages and range using Cuisenaire Rods

Put them in order of length and replace the five rods with five rods of the same length. This is the mean average.

There are more yellow rods. This is the mode.

The middle rod is yellow. This is the median.

The range is the difference between the largest rod and smallest rod.

Get 5 different rods so that the mean, median and mode are 5. What is the range?

Select any 5 rods and find the mean, median, mode and range.

Select 6 rods and find the mean, median, mode and range.

Greater Depth Questions

Select any 5 rods and find the mean, median, mode and range. Double the length of each rod and find the new mean, median, mode and range. What do you notice?

Add 2 to the length of each rod and find the new mean, median, mode and range. What do you notice?

Frequency tables and averages

Frequency tables, bar charts and pictograms

Find the mean, median, mode and range of the number of chocolate chips per cookie. Which diagram was most useful?

5.1.2.1 Construct bar charts from data presented in a number of different ways

5.1.2.2* Construct pie charts from data presented in a number of different ways

5.1.2.3 Construct pictograms from data presented in a number of different ways

5.1.2.4 Construct scatter graphs from data presented in a number of different ways

### 5.1.2.2 Construct pie charts from data presented in a number of different ways

●Construct pie charts, using the knowledge that angles in a full turn sum to 360°.

●Construct pie charts using data taken from other representations.

Frequency tables, bar charts, bar models and pie charts