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

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

Checking understanding of bar charts and pictograms

Checking understanding composite and bar-line charts

Statistical summaries using technology

Checking understanding of pie charts

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

Which of these data sets has the greatest range?

Who is correct about the median of this data set: 34, 27, 29, 41?

The mean for the data set 2.3, 5.6, 7.4, 3.6, 8.1 is {{ }}.

Which of these data sets have a mean of 6?

Match each number of values and mean to the correct total.

Five suitcases on a trolley have a mean mass of 22 kg. Another suitcase of mass 28 kg is also placed on the trolley. The mean mass of the six suitcases on the trolley is {{ }}kg per suitcase.

Starting with the smallest, put these numbers in ascending order.

Starting with the smallest, put these decimals in ascending order.

The sum is the total when numbers are {{ }} together.

The number that is exactly halfway between 23 and 30 is {{ }}.

8 is 9 away from 17 and also 9 away from {{ }}.

Checking understanding of summary statistics from a list

Lesson outcome