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

Checking understanding of summary statistics from a frequency table

Calculating summary statistics from a grouped frequency table

Calculating the mean from a grouped frequency table

Weighted means

Constructing stem and leaf diagrams

Calculating summary statistics from stem and leaf diagrams

Checking understanding of measures of central tendency

Comparing data sets in context

Statistical summaries using technology

Comparing various representations of data sets

Problem solving with comparisons of numerical data

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.

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.

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

A weighting factor is a multiplier used to reflect the importance of a piece (or pieces) of data relative to the rest of the data.

A weighted mean is the mean calculated for a set of data where weighting factors have been applied.

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

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.

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.

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

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

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

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Comparisons of numerical summaries of data

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