MathsNet: D - Displaying data - Puzzle

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33-D Geometry, 3D Shapes

AAlgebra, Algebra and Functions, Algorithms, Algorithms on graphs, Applications, Applications of the integrals, Area, Areas, Areas Related to Circles, Arithmetic, Arithmetic Progressions, Algebraic Expressions, Applying Congruence and Similarity, Approximate Solutions Using Graph

BBinomial Theorem, The Binomial Distribution, The Normal Distribution, Probability

CCalculus, Centres of Mass, Circles, Collecting data, Collisions, Combinations of random variables, Complex Numbers, Complex Numbers and Quadratic Equations, Compound measures, Construction, Constructions, Continuous Distributions, Continuous Random Variables, Coordinate geometry, Coordinates, Correlation and Regression, Critical path analysis, Summary

DDecimals, Determinants, Differential equations, Differentiation, Dimensions, Direct and indirect proportion, Discrete Random Variables, Displaying data, Drawing, Dynamics, Statics, Calculus

EEnlargement, Equivalence classes, Estimation, Exam preparation, Exponentials and logs, Differentiation, Dynamics

F1st Order Differential Equations, Financial mathematics, Flows in a network, Fourier series, Fractions, Functions, Functions and expressions, Further Dynamics, Summary

GGeometry, Goodness of fit, Graphic calculators, Graphics calculator, Graphs, Groups, Summary

HHyperbolic Functions, Hypothesis Tests, Hypothesis Testing

IImpulse and momentum in 2D, Indices, Inequalities, Integer Arithmetic, Integration, Introduction to 3-Dimesional Geometry, Inverse Laplace transforms, Inverse Trigonometric Functions, Irrational Functions, Inequalities in One Variable

KKinematics, Summary

LLaplace transforms, Limits and continuity, Limits and Derivatives, Linear Equations in 2 Variables, Linear programming, Linear-Programming, Summary

MMaclaurin and Taylor Series, Matchings, Mathematical modelling, Matrices, Matrix algebra, Measures, Mensuration, Moments, Motion in a circle, Multivariable calculus, Summary

NNotation, Number, Number and algebra, Numerical Methods, The Normal Distribution

OOscillations, Summary

PPaper 1, Paper 2, Percentages, Perimeter area volume, Permutation and Combinations, Piecewise functions, Polar Coordinates, Polynomials, Powers and roots, Probability, Proof, Properties of shapes, The Poisson Distribution, Statistics

QQuadratic equations, Quadratic functions

RRoute inspection, Summary

S2nd Order Differential Equations, Sampling, Scales and ratios, Sequence and Series, Sequences, Sequences and series, Sets, Shape and space, Simple equations, Simulation, Simultaneous equations, Statics, Statistical models, Statistics, Summarising data, Surds, Surface Area and Volume, Surface Areas and Volumes, Symbolic Logic, Symbols, Systems of D.E.s, Systems of Rigid Bodies, Straight Line Graphs, Sketching Graphs of Functions, Solving Quadratics by Factorising, Simultaneous Linear Equations, Special Sequences

TTransformations, Travelling salesman problem, Triangles, Trigonometry

UUpper and lower bounds, Using a calculator

VVectors

WWork and Energy

MAPSelect Using the Interactive Map

Awarding Bodies

Page ID: 10606

D | Displaying data | Cumulative frequency | «Puzzle»

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Summary/Background

cumulative frequency graph

You must be clear about how to find the median, upper quartile (UQ) and lower quartile (LQ) from a cumulative frequency graph. To find the median you should start from the point halfway up to the total frequency on the vertical axis, draw a line across to the curve and then down to the horizontal axis. To find the LQ and UQ you start from a quarter and from three-quarters the way up on the vertical axis.
Remember that the Interquartile range = Upper quartile - Lower quartile.

statistical diagrams

You should know how to draw a number of other statistical diagrams too, including:

scatter diagrams, pie charts, bar charts, line graphs, stem & leaf diagrams and box & whisker plots

Software/Applets used on this page

jsMath

This page uses jsMath
You can get a better display of the maths by downloading special TeX fonts from jsMath. In the meantime, we will do the best we can with the fonts you have, but it may not be pretty and some equations may not be rendered correctly.

This question appears in the following syllabi:

Syllabus	Module	Section	Topic	Exam Year
AQA AS Maths 2017	Statistics	Data Presentation and Interpretation	Cumulative Frequency	-
AQA AS/A2 Maths 2017	Statistics	Data Presentation and Interpretation	Cumulative Frequency	-
AQA GCSE (9-1) Higher (UK)	S: Statistics	S3: Grouped Data, Histograms and Cumulative Frequency	Cumulative Frequency	-
CBSE X (India)	Statistics and Probability	Statistics	Cumulative frequency graph	-
CIE IGCSE (9-1) Maths (0626 UK)	9 Statistics	E9.7 Cumulative Frequency and Box-Plots	Cumulative Frequency	-
Edexcel AS Maths 2017	Statistics	Data Presentation and Interpretation	Cumulative Frequency	-
Edexcel AS/A2 Maths 2017	Statistics	Data Presentation and Interpretation	Cumulative Frequency	-
Edexcel GCSE (9-1) Higher (UK)	S: Statistics	S3: Grouped Data, Histograms and Cumulative Frequency	Cumulative Frequency	-
GCSE Higher (UK)	Statistics	Displaying data	Cumulative frequency	-
OCR AS Maths 2017	Statistics	Working with Data	Cumulative Frequency	-
OCR GCSE (9-1) Higher (UK)	12: Statistics	12.02b: Grouped Data	Cumulative Frequency	-
OCR MEI AS Maths 2017	Statistics	Working with Data	Cumulative Frequency	-
Universal (all site questions)	D	Displaying data	Cumulative frequency	-