Statistics and Probability Formulae AI HL only

Statistics is the branch of mathematics that deals with the collection, analysis, interpretation, presentation, and organization of data. Statistics is used to draw conclusions about a population based on a sample of data. It involves the use of descriptive statistics (such as measures of central tendency and measures of variability) and inferential statistics (such as hypothesis testing and confidence intervals) to make predictions about the population. Probability, on the other hand, is the branch of mathematics that deals with the measurement of uncertainty. Probability is used to describe the likelihood of an event occurring. Probability can be expressed as a number between 0 and 1, with 0 indicating that an event is impossible and 1 indicating that an event is certain. Probability can be used to make predictions about the likelihood of future events, as well as to analyze data.