Mathematics Mastery: Handling Data, Algebra, and Compound Measures

This set of vocabulary flashcards covers essential concepts from handling data, algebra, and compound measures as detailed in the lecture notes.

Mode

The value that appears most frequently in a set of data.

Median

The middle value in a set of data when the numbers are arranged in order.

Mean

The average of a data set, calculated by finding the sum of all values and dividing by the total number of values.

Range

The difference between the highest score and the lowest score in a data set.

Box Plot

A visual representation of data that displays the lowest score, highest score, median, and interquartile range.

Scatter Graph

A plot used to visualize the relationship between two variables, such as Maths and Physics exam scores, to identify correlation.

Correlation

A description of the pattern or relationship shown between variables on a scatter graph.

Line of Best Fit

A line drawn through the middle of the points on a scatter graph used to make estimates for missing data values.

Stem and Leaf Diagram

A method of organizing raw data into a chart to show the distribution of values while maintaining individual data points.

Interquartile Range

A measure used alongside the median to help construct a box plot, representing the spread of the middle $50\%$ of the data.

Average Speed

A compound measure calculated by dividing the total distance traveled by the time taken, often expressed in units like $\text{km/h}$, $\text{mph}$, or $\text{m/s}$.

Density

A compound measure defined as mass per unit volume, calculated using the formula $\text{Density} = \frac{\text{Mass}}{\text{Volume}}$, with units such as $\text{g/cm}^3$ or $\text{kg/m}^3$.

Inequality

A mathematical statement comparing two expressions using symbols such as $>$, $<$, $\geq$, or $\leq$ to show that one is greater than, less than, or equal to the other.