![]() The resulting single diagram looks like this: We move the two plots towards each other until their stems overlap, and thereby create the combined single back to back plot. We now have our two Stem and Leaf Plots and we are ready to join them together “Back to Back”. Here is how we reverse the left hand side “Brand B” Stem and Leaf Plot. The situation is like taking two people and turning one of them around, so that they are now “back to back” facing in opposite directions. ![]() We keep the right hand side blue plot as it is, but we flip around the red left hand side plot so it is reversed like in a mirror. Let’s now take a look at our two Stem and Leaf Plots and the final steps we need to take to combine them into a single plot. Here is how we make the Stem and Leaf Plot for the “Brand B” phone, following the exact same method we used for our “Brand A” plot. So we only show the last digit of each battery life measurement. The “Leaf” is the last digit on each of the original data values. In a Stem and Leaf Plot, the data values are put in order from the Lowest to Highest. Notice that in the Stem and Leaf Plot we do not show the full values of battery life on the rows.Įg. The following diagram shows how we draw the Stem and Leaf Plot for the “Brand A” Phone. When we do this “Tens” grouping for our Mobile Phone Data, we obtain the following: The first step to creating any Stem and Leaf Plot is to write our values out from lowest to highest, and group them into Tens eg. The data for the Battery Life of the two phones is as follows: We need to create a Back to Back Stem and Leaf Plot to show the Two Mobile Phones have been tested for Battery Life in between charges. If you have never made a Stem and leaf Plot before, then do our previous lesson on this at the link below: It is necessary to understand Basic Stem and Leaf Plots before attempting Back to Back Stem and Leaf Plots. Instead of Grouping the Data and drawing Bars, we Group the Data, but we then write the actual number values of the data to create the bars. Image Copyright 2013 by Passy’s World of MathematicsĪ Stem and Leaf Plot is basically the same as a Horizontal Bar Chart. ![]() Males versus Females, Brand A versus Brand B, Natural versus Synthetic, Team X Performance versus Team Y performance, X-Box versus Playstation, Apple versus Samsung, and so on.Ī Back to Back Plot is simply two Stem and Leaf Plots combined together, like the two person seat designed by Eleanor Hutchinson in the opening image for this lesson. Using a Back to Back Plot we can directly compare the statistics of the two items: eg. ![]() These types of graphs are used for comparing two sets of statistics where the same thing has been measured. The Australian Curriculum Statistics and Probability, Data representation and interpretation, ACMSP282 Year 9 Construct back-to-back stem-and-leaf plots and histograms and describe data, using t The Australian Curriculum Version 9.0 New Year 9, Statistics Year 9, AC9M9ST03 represent the distribution of multiple data sets for numerical variables using comparative Australian Curriculum / Essential Mathematics Unit 2 Topic 1 Representing and comparing data, Data presentation and interpretation, ACMEM046 display numerical data as frequency distributions, dot plots, stem and leaf plots, and hist, Comparing data sets, ACMEM057 compare back-to-back stem plots for different data-sets NSW Mathematics K-10 Syllabus Statistics and Probability, MA5.1-12SP Single Variable Data Analysis NSW Curriculum New Statistics and probability, Data classification, visualisation and analysis, MA5-DAT-C-02 Data analysis B NSW Mathematics Standard Stage 6 Syllabus Statistical Analysis, MS-S1 Data Analysis, MS-S1.In this lesson we look at Back to Back Stem and Leaf Plots.
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