Edexcel Gcse Mathematics Linear 1ma0 Stem And Leaf Diagrams Answers
9.3 Stem & Leaf Diagrams
Revision notes on the topic Stem & Leaf Diagrams for the Edexcel GCSE Maths exam
Revision Notes
What is a stem-and-leaf diagram?
A stem – and – leaf diagram is a simple but effective way of showing data. It puts the data into order , puts it into classes ( groups ) and we can quickly see patterns. As the data is in order it is also useful for finding the median and quartiles .
What do I need to know?
Stem-and-leaf diagrams are particularly useful for two-digit data but can be used for bigger numbers. Two-digit data could be something like 26 but could also be 2.6. Due to this one of the essential things about a stem-and-leaf diagram is that it has a key.
You may also come across back-to-back stem-and-leaf diagrams which are used to compare two sets of data.
- Stem-and-Leaf diagrams
The digits from the data is split into two – stems and leaves. As in nature though, a stem can have more than one leaf. So the stems become our classes in our data.
eg The data value 26 would be split into a stem of 2 and a leaf of 6.
That will then mean the "2" becomes a class interval – ie the 20's.
Any other values in the 20's would join the same class – so a stem of 2 would have two leaves.
eg Draw a stem-and-leaf diagram for the following data
264532 272930 4036 37
As the data is not in order draw a rough diagram first to get the data values into the correct format:
Key: 2|6 means 26
And add a key so we know what the data is showing.
Example
Question
Edexcel GCSE Maths Notes
- 1. Number
- 1.1 Arithmetic
- 1.1.1 Multiplication (non-Calc)
- 1.1.2 Division (non-Calc)
- 1.2 Fractions
- 1.2.1 Mixed Numbers & Top Heavy Fractions
- 1.2.2 Adding & Subtracting Fractions
- 1.2.3 Multiplying & Dividing Fractions
- 1.3 Basic Percentages
- 1.3.1 Percentages
- 1.3.2 Percentage Increases & Decreases
- 1.4 Reverse Percentages
- 1.5 Compound Interest
- 1.6 LCM / HCF / Prime Factors
- 1.6.1 Prime Factors
- 1.6.2 HCFs & LCMs
- 1.7 Roots & Indices
- 1.7.1 Roots & Indices – Basics
- 1.7.2 Roots & Indices – Harder
- 1.8 Rounding & Estimation
- 1.9 Standard Form
- 1.9.1 Standard Form – Basics
- 1.9.2 Standard Form – Harder
- 1.10 Bounds & Error Intervals
- 1.10.1 Bounds & Error Intervals – Basics
- 1.10.2 Calculations Using Bounds
- 1.11 Recurring Decimals
- 1.12 Surds
- 1.12.1 Surds – Basics
- 1.12.2 Surds – Rationalising Denominators
- 1.13 Using a Calculator
- 1.14 Counting
- 1.15 Best Buy
- 1.16 Exchange Rates
- 1.1 Arithmetic
- 2. Algebra Basics
- 2.1 Expanding One Bracket
- 2.2 Simple Factorisation
- 2.3 Expanding Quadratics
- 2.3.1 Expanding Two Brackets – Basics
- 2.3.2 Expanding Two Brackets – Harder
- 2.3.3 Expanding Three Brackets
- 2.4 Factorising Quadratics
- 2.4.1 Factorising Quadratics – Basics
- 2.4.2 Factorising Quadratics – Harder
- 2.4.3 Difference of Two Squares
- 2.4.4 Factorising Quadratics – General
- 2.5 Rearranging Formulae
- 2.5.1 Rearranging Formulae – Basics
- 2.5.2 Rearranging Formulae – Harder
- 2.6 Solving Linear Equations
- 2.6.1 Collecting Like Terms
- 2.6.2 Solving Linear Equations
- 2.7 Substitution
- 2.8 Proof/Reasoning – Algebraic
- 2.9 Functions
- 2.9.1 Functions – Basics
- 2.9.2 Compound Functions
- 2.9.3 Inverse Functions
- 2.10 Algebraic Fractions
- 2.10.1 Algebraic Fractions – Adding & Subtracting
- 2.10.2 Algebraic Fractions – Simplifying Fractions
- 2.10.3 Algebraic Fractions – Multiplying & Dividing
- 3. Solving Equations & Inequalities
- 3.1 Quadratic Formula
- 3.2 Completing the Square
- 3.3 Simultaneous Equations – Linear
- 3.4 Simultaneous Equations – Quadratic
- 3.5 Inequalities
- 3.5.1 Solving Inequalities – Linear
- 3.5.2 Solving Inequalities – Quadratic
- 3.6 Inequalities on a Graph
- 3.6.1 Inequalities on Graphs – Drawing
- 3.6.2 Inequalities on Graphs – Interpreting
- 4. Sequences
- 4.1 Sequences – Linear
- 4.2 Sequences – Quadratic
- 5. Graphs
- 5.1 Coordinates
- 5.2 Drawing Graphs
- 5.2.1 Drawing Graphs – Shapes
- 5.2.2 Drawing Graphs – Using a Table
- 5.2.3 Drawing Graphs – Trig Graphs
- 5.3 Equations of a Line
- 5.3.1 Straight Lines – Finding Equations
- 5.3.2 Straight Lines – Drawing Graphs
- 5.4 Perpendicular Lines
- 5.5 Transformations of Graphs
- 5.6 D-T / V-T Graphs
- 5.6.1 Distance-Time Graphs
- 5.6.2 Speed-Time Graphs
- 5.7 Solving Equations using Graphs
- 5.8 Equation of a Circle
- 5.8.1 Circles – Equation & Graphs
- 5.8.2 Circles – Finding Tangents
- 5.9 Estimating Areas & Gradients of Graphs
- 6. Ratios, Proportion & Rate of Change
- 6.1 Ratios
- 6.2 Direct & Inverse Proportion
- 6.3 Speed, Density & Pressure
- 7. Geometry & Measures
- 7.1 Angles in Parallel Lines
- 7.2 Angles in Polygons
- 7.3 Similarity – Lengths
- 7.4 Similarity – Areas & Volumes
- 7.5 Congruent Triangles
- 7.6 Transformations
- 7.6.1 Transformations – Rotation
- 7.6.2 Transformations – Reflection
- 7.6.3 Transformations – Translation
- 7.6.4 Transformations – Enlargement
- 7.6.5 Transformations – Enlargement (Negative Scale Factor)
- 7.6.6 Combined Transformations
- 7.7 Area – Triangles & Quadrilaterals
- 7.7.1 Area – Formulae
- 7.7.2 Area – Adding & Subtracting
- 7.8 Circles
- 7.8.1 Circles – Area & Circumference
- 7.8.2 Circles – Sector Areas & Arc Lengths
- 7.9 Problem Solving with Areas
- 7.10 3D Shapes
- 7.10.1 3D Shapes – Surface Area
- 7.10.2 3D Shapes – Volume
- 7.11 Pythagoras Theorem
- 7.12 SOHCAHTOA
- 7.13 Sine/Cos Rules & Area of a Triangle
- 7.13.1 Sine & Cosine Rules, Area of Triangle – Basics
- 7.13.2 Sine & Cosine Rules, Area of Triangle – Harder
- 7.14 Circle Theorems
- 7.14.1 Circle Theorems
- 7.14.2 Circle Theorems 2
- 7.14.3 Circle Theorems 3
- 7.14.4 Circle Theorems 4
- 7.15 Loci & Construction
- 7.16 Bearings (& Scale)
- 7.17 Vectors
- 7.17.1 Vectors – Basics
- 7.17.2 Vectors – Finding Paths
- 7.17.3 Vectors – Proving Things
- 7.18 Drawing Plans & Elevations
- 7.19 Trigonometry – Exact Values
- 8. Probability
- 8.1 Basic Probability
- 8.2 Venn Diagrams & Two Way tables
- 8.2.1 Probability – Venn Diagrams
- 8.2.2 Probability – Two Way Tables
- 8.2.3 Set Notation & Venn Diagrams
- 8.3 Combined Probability
- 8.3.1 Combined Probability – Basics
- 8.3.2 Combined Probability – Harder
- 9. Statistics
- 9.1 Mean, Median & Mode
- 9.1.1 Mean, Median & Mode
- 9.1.2 Averages from Tables & Charts
- 9.1.3 Averages from Grouped Data
- 9.1.4 Calculations with the Mean
- 9.1.5 IQR & Range
- 9.2 Box Plots
- 9.3 Stem & Leaf Diagrams
- 9.4 Frequency Polygons
- 9.5 Scatter Graphs
- 9.5.1 Scatter Graphs
- 9.5.2 Time Series Graphs
- 9.6 Histograms
- 9.7 Cumulative Frequency
- 9.1 Mean, Median & Mode
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Edexcel Gcse Mathematics Linear 1ma0 Stem And Leaf Diagrams Answers
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