Patterns, Sequences, and Data Analysis in Mathematics

Patterns

A repeated arrangement of numbers, shapes, or symbols.

Number Sequence

A list of numbers arranged in a specific order following a rule.

Arithmetic Sequence

Add/subtract the same number.

Geometric Sequence

Multiply/divide by the same number.

Fibonacci Sequence

Add the two previous numbers.

Mathematical Phrases

A group of numbers, variables, or symbols without a complete thought.

Numerical Phrase

Only numbers & operations.

Algebraic Phrase

Includes variables.

Linear Equation

An equation where the highest power of the variable is 1.

General Form of Linear Equation

ax + b = 0

Statistics

The science of collecting, organizing, analyzing, and interpreting data.

Quantitative (QUANTI)

Numbers/data measured.

Discrete Data

Counted (whole numbers).

Continuous Data

Measured (can be decimal).

Qualitative (QUALI)

Categories/labels.

Nominal Data

Names only, no order.

Ordinal Data

With ranking/order.

Types of Data Collection

Interview, Survey/Questionnaire, Observation, Experiment.

Types of Graphical Presentation

Bar Graph, Pie Chart, Histogram, Line Graph, Pictograph.

Frequency Distribution Table (FDT)

A way to organize data into classes with frequencies.

Class Set

All the groups in the table.

Class Interval

Range/size of each group.

Frequency (f)

Number of times data appears.

Class Mark

Midpoint of class.

Less than Cumulative Frequency (LCF)

Add frequencies from top to current class.

Greater than Cumulative Frequency (GCF)

Add frequencies from bottom to current class.