Includes bibliographical references.

Meaning of statistics

Types of statistics : Descriptive statistics

Inferential statistics

Population versus sample

Basic terms

Types of variables : Quantitative variables

Qualitative or categorical variables

Scales of measurement

Summation notation

Frequency distribution

Class frequency

Class boundaries

Measures of central tendency : Arithmetic mean

Population mean

Sample mean

Weighted mean

Median

Mode

Arithmetic mean (grouped data)

Median (grouped data)

Mode (grouped data)

Measures of dispersion : Range

Variance and standard deviation

Coefficient of variation

Population parameter and a sample statistic

Variance and standard deviation for grouped data

Use of standard deviation

Measures of position

Percentiles and percentile rank

Box and whisker plot

Measures of skewness

Moments

Measures of kurtosis

Probability : Fundamental counting principle

Permutations

Definition: permutation

Combinations

Problems on counting using a number of techniques

Circular permutations

Probability distributions : Random variables and probability distributions

The binomial distribution

Binomial probabilities

The hypergeometric distribution

The poison distribution

Normal distribution

Applications of the normal distribution

Linear correlation : Correlation methods

Inferential statistics : Choice of Ho and Ha

Type and type II errors

Steps to be followed for testing a hypothesis

Test of hypothesis (a single population)

Test of hypothesis (two population)

Nonparametic statistics for ordinal data

Mann-Whitney u test

Wilcoxon matched-Paris signed rank test

Kruskal-wallis one-way analysis of variance

Permutations

Definition: permutation

Combinations

Problems on counting using a number of techniques

Circular permutations

Probability distributions : Random variables and probability distributions

The binomial distribution

Binomial probabilities

The hypergeometric distribution

The hypergeometric distribution

The poison distribution

The trinomial distribution

Normal distribution

Applications of the normal distribution

Linear correlation : Correlation methods

Inferential statistics : Choice of Ho and Ha

Type and type II errors

Steps to be followed for testing a hypothesis

Test of hypothesis (a single population)

Test of hypothesis (two population)

Mann-Whitney u test

Wilcoxon matched-Paris signed rank test

Kruskal-wallis one-way analysis of variance.