# Stats & Probability

This topic takes from the key ideas that many will have encountered previously, including presentation of data and measures of central tendency and spread on to more sophisticated techniques. We look at correlation and regression with Spearman's rank and then probability and distributions and on to hypothesis testing. HL students go on to look at the more detailed subtleties of these ideas.

## What is here?

Directory of sub pages

#### SL Scheme - Statistics

The new Mathematics: Applications and Interpretation syllabus is out and published on the IB website. Log in to your MyIB account and head to this link . It is a new course with a new name and renewed...

#### SL Presenting Data

This topic is all about these two related tools for helping us look at how a data set is spread out. Learn about filling in cumulative frequency tables, plotting the corresponding curves and using the...

#### SL Central tendency & spread

This topic could easily be overlooked as 'the basics' with the assumption that everyone knows how to do ti already. sure, most of these measures of central tendency and dispersion are likely to have been...

#### SL Linear correlation

The search for meaningful relationships between two variables. Here we take the leap from 1 variable to 2 variable data analysis. In any given survey we collect data for a number of 'items' surveyed....

#### SL Spearman's Rank

For data that is non-linear, contains extreme values/outliers or in which we want to compare the ranks of one thing e.g. people's favourite chocolate in different countries, rather than pure numerical...

#### SL Chi Squared Tests

The chi squared independence tests is a widely used technique for looking for a relationship between variables that are categorical. We can use a scatter graph to look for a relationship between GDP and...

#### SL Probability of events

Possibly the most relevant, useful and appropriate part of any mathematics course in schools! Everyone has an intuitive understanding of probability at its most simple level, but it is amazing how short...

#### SL Normal Distribution

The normal distribution is a fascinating, naturally occurring phenomenon that has very relevant applications to understanding the world around us. When a data set is normally distributed it has some key...

#### SL Binomial Distribution

The Binomial distribution provides a useful, introductory model into many applications, in fields of study such as:The below two key conditions need to be met for the binomial distribution to be an appropriate...

#### SL T-test

In a mathematics test, you might find the average female scores are higher than the boys or vice-versa. It's costly, and time consuming, to take samples. Is there a way we could decide, from just one...

#### HL Coefficient of determination (R²)

This topic follows on from Pearson's (r) Limitations and SL Spearman's Rank. To choose between competing mathematical models we need some measurement of their success in predicting the observed data.

#### HL non-linear regression

'Predict the future using your functions knowledge ' Can you match a suitable function (using your knowledge of the key points and trends of different 'families' of functions HL(SL) Functions) to a context/real-world...

## Concepts

Something about the concepts on which this unit is based

## Selected Pages

### SL Probability of events 15 September 2021

Possibly the most relevant, useful and appropriate part of any mathematics course in schools! Everyone has an intuitive...

more

### SL Scheme - Statistics 11 September 2021

The new Mathematics: Applications and Interpretation syllabus is out and published on the IB website. Log in to your MyIB...

more

### SL Sampling (4.1) 5 September 2021

How do humans gain knowledge about the world we live in? Time, and money, are limited, often, it’s not possible to measure...

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### HL Transition Matrices & Markov Chains(4.19) 18 August 2021

On this page you can find a set of videos, created by James Tanton, for topic AHL 4.19.Certainly in human activities, and...

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### HL Expected Values & Variance(4.14) 9 August 2021

On this page you can find the a set of IB style questions for this topic that covers 80 marks over the range of difficulty...

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