Back-to-back stem-and-leaf diagrams, box plots and coded totals
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The teaching part (1 min) is free to watch. A free account opens the whole lecture: 5 practice questions, 2 real past-paper questions with the answers explained, the mistakes that lose marks, the full-marks tip, a one-card summary and a quick quiz.
What this lecture covers
- Two sets, one picture
- Back-to-back stem-and-leaf
- Reading the Lakeview data
Read the transcript of the teaching part
Two sets, one picture
Two schools, two sets of throwing distances. How do you compare them fairly? Put both on one diagram, and the shape, the middle and the spread all show at once. Then compress each set into five numbers, and shortcut the arithmetic with coded totals.
Back-to-back stem-and-leaf
The stems go down the middle. One set of leaves runs out to the left, the other to the right. Order the leaves, smallest nearest the stem. On the left that means they read in reverse from the stem outwards. Always add a key, saying what a stem and leaf stand for, for both sides.
Reading the Lakeview data
Lakeview's eleven throws are 10, 14, 19, 22, 26, 27, 28, 30, 32, 33 and 41 metres, already in order. With eleven values the median is the sixth value, which is 27. Riverside in order is 18, 18, 20, 21, 23, 24, 25, 25, 30, 36, 37, so its median is 24.
How often it comes up
How often Cambridge has asked each part, counted by ExamYard from every past paper in its question bank: Back-to-back stem-and-leaf diagrams.
The whole chapter: Representation of Data.
Chapter 5.1: Representation of data
- Back-to-back stem-and-leaf diagrams, box plots and coded totals 6 min
- Cumulative frequency graphs, histograms with unequal widths, mean and median 6 min
Also for A Level Maths 9709 Paper 5
Which topics come up most in A Level Maths 9709 Paper 5 past papers, counted from every paper since 2004.