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

Comparing various representations of data sets

Maths

Checking understanding of summary statistics from a list

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

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

Both the pie chart and bar chart represent the same data set of: modes of transport to work. What percentage of people took the bus to work?

Both the pie chart and bar chart represent the same data set of: modes of transport to work. Calculate the percentage of people who travelled by car. Give your answer to 1 d.p.

True. Pie charts help identify which groups the missing data points belong to.

True. Pie charts give the exact missing values.

False. Pie charts do not share any information with stem and leaf diagrams.

False. Pie charts give no information about the value of a missing data point.

True or false? A pie chart can be used to complete an incomplete stem and leaf diagram. 

Calculate the median for this data set represented as a frequency table.

Calculate the mean for this data set represented as a frequency table. Give your answer to 1 d.p.

A newspaper reporter is writing an article about your hockey team's performance. Which average(s) would you use to help describe your average number of goals scored per match?

A statistical summary sums up the features of a __________ .

When using spreadsheet software, which command would calculate the mean for a column of numerical data?

When using spreadsheet software, which command would calculate the range for a column of numerical data?

When using spreadsheet software, which command would calculate the median for a row of numerical data?

When using spreadsheet software, what symbol represents multiplication?

When using spreadsheet software, what is the correct way to input, and calculate, $$\frac{2\times3}{5}$$ ?

Comparing various representations of data sets

Lesson outcome