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IB Maths AA 4.2 Definitions

This page contains our IB Maths AA definitions for 4.2. By learning each one of these definitions, you will fully cover the content for IB Maths AA 'Visualising statistics'.

class

A range of values used to group continuous data, usually written as an interval such as '40x<5040\leq x\lt 50'.

cumulative

A running total found by adding successive values as you move through a table or list.

frequency

A table that shows how often each value (discrete) or each class interval (continuous) occurs.

histogram

A diagram for grouped continuous data in which each class interval is shown by a touching bar, allowing the shape and spread of the distribution to be seen.

interquartile

Referring to the middle 50%50\% of the data, between the lower quartile Q1Q_1 and upper quartile Q3Q_3.

median

The value mm such that mf(x)dx=12\int_{-\infty}^{m} f(x)\,dx=\frac{1}{2}, so half the total area under the density curve lies on each side.

percentiles

Values that split ordered data into 100100 equal parts; the ppth percentile has about pp% of the data below it and can be estimated from a cumulative frequency graph.

quartiles

Values that split ordered data into four equal parts; on a cumulative frequency graph with nn values, they are estimated at cumulative frequencies n4\frac{n}{4} and 3n4\frac{3n}{4}.

range

The set of possible outputs a function can produce.

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