Construct and compare a range of data displays including stem-and-leaf plots and dot plots (VCMSP269)

LO: To construct and compare data from a stem-and-leaf and dot plots

Know:

  • What is a stem-and-leaf plot.

  • How to interpret a stem-and-leaf plot.

  • How to interpret a graph.

Understand:

  • That stem-and-leaf plots are a graphical way of helping us organise data in rank order which makes it easier to interpret the data.

Do:

  • I can construct and compare data from a stem-and-leaf plot.

  • I can construct and compare data from a dot plot.

Elaborations

  • understanding that some data representations are more appropriate than others for particular data sets, and answering questions about those data sets

  • using ordered stem-and-leaf plots to record and display numerical data collected in a class investigation, such as constructing a class plot of height in centimetres on a shared stem-and-leaf plot for which the stems 12, 13, 14, 15, 16 and 17 have been produced.

  • select an appropriate type of graph to represent a set of data, graph the data using technology, and justify the choice of graph.

Visual Representations

Teacher Notes

Stem-and-leaf plots are an easy way of helping us to organise data into categories based on place values.

You basically break the numbers apart (partitioning).
Eg.) 47 can be broken into four-10s and seven-1s.

The 4 then becomes your stem, and 7 becomes your leaf.

Notice how 21, 23, 23, 26 and 26 are all written on the same line.

Stem-and-Leaf plots also helps us to arrange the numbers into ascending order (smallest to biggest). This then allows us easily to find the minimum and maximum values to calculate range. The most common number is also easily represented to identify the mode. The middle number is also easily identifiable to determine the median.

ACARA Work Samples

Stem and Leaf Plot Videos

 Student Generated Videos

Practice Questions

Year 7 Big Ideas

Exercise 10F pg. 375 Now Try These: Q. 1-3

My Maths 7

Exercise 10F pg. 551 Q. 1-13

My Maths 8

Exercise 9D pg. 477 Q. 1-19