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Mathematics
Revision Notes
Probability & Statistics 1
Mathematics · Cambridge 9709
Probability & Statistics 1
8 chapters · 51 lessons
Collection
Pure Mathematics 1
Pure Mathematics 2
Pure Mathematics 3
Mechanics
Probability & Statistics 1
Probability & Statistics 2
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01
Representation of Data
6 lessons · 4 topic areas
01
Data and Display Choice
2 lessons
Types of Data
Choosing a Representation
02
Stem-and-Leaf Diagrams
1 lesson
Stem-and-Leaf Diagrams
03
Histograms
1 lesson
Histograms
04
Cumulative Frequency
2 lessons
Constructing Cumulative-Frequency Graphs
Reading Cumulative-Frequency Graphs
Practise this chapter
02
Measures of central tendency
6 lessons · 3 topic areas
01
Modes and Means
2 lessons
Mode and the Modal Class
The Mean
02
Mean Totals and Coding
2 lessons
Combined Means and Changing Data
Coded Data and Totals
03
Median and Measure Choice
2 lessons
The Median
Choosing an Average
03
Measures of variation
6 lessons · 3 topic areas
01
Range and Quartiles
3 lessons
Why spread matters and the range
IQR and box plots
Quartiles from cumulative frequency
02
Standard Deviation
1 lesson
Standard deviation
03
Totals and Coding
2 lessons
Variance from totals and combined data
Coded data: shift and scale
04
Probability
5 lessons · 3 topic areas
01
Probability Foundations
1 lesson
Probability language and sample spaces
02
Event Relationships
2 lessons
OR, exclusive events and Venn diagrams
AND and independent events
03
Conditional Events and Trees
2 lessons
Conditional probability
Dependent events and probability trees
Practise this chapter
05
Permutations and combinations
8 lessons · 3 topic areas
01
Counting Arrangements
2 lessons
Counting choices and factorials
Arrangements in a line
02
Restricted and Partial Arrangements
3 lessons
Arrangements with restrictions
Digit arrangements
Arranging r from n
03
Selections and Counting Probability
3 lessons
Permutations or combinations?
Combination casework
Combinations in probability
Practise this chapter
06
Probability distributions
6 lessons · 2 topic areas
01
Random Variables and Distribution Tables
4 lessons
Discrete random variables
Building a distribution from outcomes
Distributions from selections and stopping rules
Completing and using a distribution
02
Expectation and Spread
2 lessons
Expectation of a random variable
Variance and standard deviation
07
The binomial and geometric distributions
7 lessons · 2 topic areas
01
Binomial Models
4 lessons
Recognising a binomial model
Binomial probabilities
Binomial mean and variance
Binomial complements and least n
02
Waiting for Successes
3 lessons
The geometric distribution
Later success on a given trial
Geometric mean and mode
08
The normal distribution
7 lessons · 3 topic areas
01
Normal Models and Probability
3 lessons
Continuous variables and normal curves
The standard normal distribution and Φ
Standardising a normal variable
02
Normal Models in Context
2 lessons
Using normal probabilities in context
Finding μ and σ from probabilities
03
Normal Approximation to the Binomial
2 lessons
When a normal approximation is suitable
Continuity correction and the complete method
Practise this chapter
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Mathematics
AS & A Level · 9709
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