EDEXCEL S1 SPECIFICATION

Mathematical Models in Probability and Statistics

The basic ideas of mathematical modelling applied to probabilty and statistics

Representation and Summary of Data

Histograms

Stem and leaf diagrams

Box plots

Measures of location - mean, median and mode

Coding

Discrete, continuous, grouped and ungrouped data

Measures of dispersion - variance, standard deviation, range, interpercentile ranges

Interpolation

Skewness

Outliers

Probability

Elementary probability

Sample space

Exclusive and complementary events

Conditional probability

Independence of two events

Sum and product laws

Tree diagrams

Venn diagrams

Correlation and Regression

Scatter diagrams

Linear regression

Method of least squares

Explanatory (independent) and response (dependent) variables

The use, interpretation and limitations of the product moment correlation coefficient

Discrete Random Variables

The concept of a discrete random variable

The probabilty function for a discrete random variable

The cumulative distribution function for a discrete random variable

Mean and variance of a discrete random variable

The discrete unform distribution

The Normal Distribution

The Normal distribution including the mean, variance and the use of the tables for the cumulative ditribution function