MathsNet: A Level Statistics 1 Module

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In specifications for OCR, AQA, WJEC and NICCEA a graphic calculator is allowed too.

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Interactive ASA2 - Statistics S1
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Notation
1. Mathematical models in probability and statistics
2. Representation and summary of data
3. Probability

4. Correlation and regression
5. Discrete random variables
6. The Normal distribution
Summary & Examination papers

Glossary of terms

B bias box and whisker plot C continuous data correlation D descriptive statistics discrete data E expectation explanatory variable extrapolation I independent events inferential statistics interquartile range M measure of dispersion measure of location mutually exclusive events N normal distribution O outlier P product moment correlation coefficient R regression response variable S skewness standard deviation standard error statistical experiment statistical model U uniform distribution V variance

Notation

	symbols

1. Mathematical models in probability and statistics

	discrete v. continuous
	concepts

2. Representation and summary of data

Representation	types of charts
	histograms, scatter graphs, measures
	histograms 1
	histograms 2
	stem and leaf diagrams
	box plots 1
	box plots 2
	box plots 3
	shapes of distributions


Measures of location	calculate the mean
	mean and median
	mean, median and mode


Measures of dispersion	the variance formulae
	the standard deviation formulae
	calculate standard deviation

	Range and interpercentile ranges
	skewness 1
	skewness 2
	Concepts of outliers

	summary

3. Probability

Some experiments	the Monty Hall problem
	the Monty Hall problem extended
	the spinner experiment
	another spinner experiment
	the marble experiment
	Buffon's needle
	Buffon's needle - extended
	finding an area
	birthdays
	birthdays - extended
	coin experiment
	coin and die experiment
	die and coin experiment
	roulette wheel experiment
	ball and urn experiment
	triangle experiment

Theoretical probability	Venn diagrams
	mutually exclusive events
	complementary events
	conditional probability
	combining probabilities
	independent events
	formulae








4. Correlation and regression

Correlation	putting points	WJEC S3, NICCEA S2
	values of the pmcc	WJEC S3, NICCEA S2
	guess the pmcc	WJEC S3, NICCEA S2
	calculate the pmcc 1	WJEC S3, NICCEA S2
	calculate the pmcc 2	WJEC S3, NICCEA S2
		WJEC S3, NICCEA S2
		WJEC S3, NICCEA S2
		WJEC S3, NICCEA S2
Regression	scatter diagrams	NICCEA S2
	more on scatter diagrams	NICCEA S2
	y on x	NICCEA S2
	least squares	NICCEA S2
	using the mean point	NICCEA S2
	fit a line by eye	NICCEA S2
	calculate the regression line	NICCEA S2
	interpret the regression line	NICCEA S2
	use the regression line	NICCEA S2
		NICCEA S2
		NICCEA S2
		NICCEA S2
		NICCEA S2
Correlation and regression	the effect of restricting the range	NICCEA S2
	true or false	NICCEA S2

5. Discrete random variables

Distributions	probability distributions
	cumulative distributions


Expectation theory	expectation
	mean and variance








The uniform distribution	a basic example
	the dice experiment

6. The Normal distribution

	the shape of the Normal distribution
	theoretical and experimental data
	calculating probabilities 1
	calculating probabilities 2
	calculating probabilities 3
	using tables
	standardising










Summary

	true or false?
On-line statistics	WEBSTAT
	paper
	paper

Credits
	=Javamath graphs	=WebEQ equations	=HotEqn equations
	=Cinderella graphs	=JavaScript	=other Java applets
	=RVLS statistics	=Hot Potatoes dynamic HTML	=Project Interactive
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