There are discussion prompts included throughout to help students with this investigation. A recording sheet is provided as well as a sample sheet to show how students can track their activity and time. Students will track what they do over a 24 hour period. In this unit, students will gain survey experience by designing, collecting and analysing data on the use of their time. This unit, Time Use Survey, is from the NZMaths teaching resources. Students list outcomes for two-step experiments and assign probabilities for those outcomes and related events. They calculate relative frequencies to estimate probabilities.

Students identify mean and median in skewed, symmetric and bi-modal displays and use these to describe and interpret the distribution of the data. They construct histograms and back-to-back stem-and-leaf plots with and without the use of digital technology. Students compare techniques for collecting data from primary and secondary sources, and identify questions and issues involving different data types. VCAA Mathematics glossary: A glossary compiled from subject-specific terminology found within the content descriptions of the Victorian Curriculum Mathematics. VCAA Sample Program: A set of sample programs covering the Victorian Curriculum Mathematics. For definitions of these terms refer to the terms ‘shape (statistics) and ‘bi modal’ in the Victorian Curriculum Mathematics Glossary.Ĭonstruct back-to-back stem-and-leaf plots and histograms and describe data, using terms including ‘skewed’, ‘symmetric’ and ‘bi modal’ (VCMSP325) When describing the distribution introduce the appropriate mathematical terms: positively skewed, negatively skewed, symmetric and bi modal. They also enable us to determine the distribution or spread of the data. What is the (approximate) median value?.What is the minimum and/or maximum value?.Both of these graphical representations allow us to easily answer questions such as: Rotating the stem-and-leaf plot vertically will show this.

A stem-and-leaf plot is similar to a histogram in that the row of numbers (leaves) for each stem emulates the information provided in a bar of a histogram. When analysing both stem-and-leaf plots and histograms, ask students to note the similarities. In histograms there is no gap between the bars. Histograms are used to display numerical data whereas bar charts are used for categorical data. Histograms are similar to bar charts/graphs but with two significant differences. It allows us to see the distribution or spread of the data. When constructing a back-to-back stem-and-leaf plot, explain that the leaves on the left are placed in order smallest to largest, from the stem.Įxample: For the data samples for Groups A and B, the back-to-back stem-and-leaf plot is shown below.ĭata A: 92, 101, 101, 117, 117, 118, 121, 122, 123, 125, 130, 132, 134, 135ĭata B: 81, 81, 90, 94, 96, 105, 107, 108, 109, 112, 115, 117, 118, 124, 126, 126, 130, 137Ī histogram is a graph used to represent the frequency of data. One of the main purposes of back-to-back stem-and-leaf plot is for easy comparison of data sets.

$stem plot vs histogram$

They will then describe the distribution of the data using terms such as ‘skewed’, ‘symmetric’ and ‘bi modal’. At this level, students will build on previous knowledge of constructing stem-and-leaf plots ( VCMSP269) to construct back-to-back stem-and leaf-plots and histograms.

Stem plot vs histogram