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

Constructing stem and leaf diagrams

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

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

What part of the stem and leaf diagram is highlighted?

The value of the highlighted data point is {{ }} cm.

The value of the highlighted data point is {{ }} kg.

Sam draws this stem and leaf diagram. Is Sam's diagram complete?

The highlighted leaf represents {{ }} seconds.

Sam and Andeep draw a back-to-back stem and leaf diagram to compare their classes' scores in a quiz. The lowest score in Andeep's class is {{}} more than the lowest score in Sam's class.

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

Which of these numbers is not equivalent to the others?

The last digit in 13.8 represents __________.

Simplifying a number by 'cutting off' one or more of the digits and replacing them with zeros if necessary to preserve place value is known as __________.

23.6473 truncated to 2 decimal places is {{ }}.

Here is a list of numbers: 56, 624, 40.6, 62, 668, 256, 60.06, 36, 0.66, 68, 62, 62.9. How many of the numbers have 6 tens? 

Constructing stem and leaf diagrams

Lesson outcome