sums up the features of a data set. It may contain the average (mean, median and/or mode) which measures the central tendency. It may also contain the range which measures the spread.

Checking understanding of summary statistics from a list

Maths

In this unit, pupils began to compare two different sets of data. In the future unit, pupils will consider cumulative frequency graphs and histograms and compare the data from these diagrams to other graphical representations.

In the prior unit, pupils considered the mean, median and mode and evaluated their usefulness in a variety of contexts. In this unit, pupils extend this learning to comparing two different data sets and comparing these measures of central tendency.

In this unit pupils will compare two different data sets and compare different measures of central tendancy when interpreting the data. Pupils will learn to interrogate frequency tables and stem and leaf diagrams both with and without technology.

Comparisons of numerical summaries of data

sums up the features of a data set. It may contain the average (mean, median and/or mode) which measure the central tendency. It may also contain the range which measures the spread.

Checking understanding of summary statistics from a frequency table

An interval is all the values between two points.

The modal class is the interval, or group of values, with the highest frequency in a data set.

The median class is the class which contains the central (middle) datum when the data are in numerical order.

Calculating summary statistics from a grouped frequency table

The frequency is the number of times an event occurs; or the number of individuals (people, animals etc.) with some specific property.

An interval is all the values between two points. e.g. 4 < x ≤ 10

Calculating the mean from a grouped frequency table

A stem and leaf diagram is a systematic way to visually organise and represent numerical data.

Constructing stem and leaf diagrams

A stem and leaf diagram is a systematic way to organise and represent numerical data, by splitting each value into a stem and a leaf.

The (arithmetic) mean for a set of numerical data is the sum of the values divided by the number of values. It is a measure of central tendency representing the average of the values.

The median is the central (middle) piece of data when the data are in numerical order.

Mode is the most frequent value. It is a measure of central tendency representing the average of the values.

The range is a measure of spread. It is found by finding the difference between the two extreme points; the lowest and highest values.

Calculating summary statistics from stem and leaf diagrams

A measure of central tendency is a summary measure that attempts to describe a whole set of data with a single value that represents the middle or centre of its distribution.

A statistical summary sums up the features of a data set.

Checking understanding of measures of central tendency

Comparing data sets in context

A bar chart (bar graph) is a graph consisting of bars visually representing the frequency of objects or groups.

A pictogram (pictograph) is a graph consisting of pictures to visually represent the frequency of objects or groups.

Checking understanding of bar charts and pictograms

Checking understanding composite and bar-line charts

Statistical summaries using technology

A sector is the region formed between two radii and their connecting arc.

A pie chart (pie graph) is a circular graph where sectors represent different groups proportionally.

Checking understanding of pie charts

Comparing various representations of data sets

A scatter graph is a visual representation for bivariate data. It can be useful when determining the nature of the relationship between the variables.

Comparisons of numerical summaries of data

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These lessons will be removed by end of Summer Term 2025.