Pie Chart
? Video Tutorial What is a Pie Chart?: A pie chart visually represents data as slices of a circle, with each slice showing a category’s proportion of the total. It’s useful for comparing parts within a whole. Calculating Angles for Pie Charts: To find the angle for each category, divide the category frequency by the […]
Averages from Grouped Frequency Table
? Video Tutorial Understanding Grouped Frequency Tables: Organise data into intervals, making it easier to handle large datasets. Identifying the Modal Class: The modal class is the interval with the highest frequency. Finding the Median Class: Calculate the median position with $large frac{N + 1}{2}$, where $N$ is the total frequency. Then locate this position […]
Tally Mark Charts, Bar Charts, Tables
? Video Tutorial Tally Marks: help count items quickly and accurately by grouping every five marks, ideal for on-the-spot data collection. Bar Chart: Label the horizontal axis with categories and the vertical axis with values. Each bar’s height visually represents the count, making data comparison easy. Tables: summarise data efficiently with rows and columns, allowing […]
Absolute Frequency and Relative Frequency
? Video Tutorial Absolute Frequency: The actual count of each category in a dataset. For example, if 12 students take the bus, the absolute frequency for “bus” is 12. Relative Frequency: The proportion of a category, found by dividing the absolute frequency by the total. It can be expressed as a fraction, decimal, or percentage. […]
Median, Mean, Mode, Range
? Video Tutorial Calculating the Mean (Arithmetic Mean): Add up all values and divide by the total count to get the mean. Finding the Median: Sort values in order; the median is the middle value. For an even number of values, take the average of the two middle numbers. Identifying the Mode: The mode is […]
Median, Mean, Mode, Range from a Frequency Table
? Video Tutorial Calculating the Mean from a Frequency Table: Multiply each value by its frequency, add these results, then divide by the total number of entries. Finding the Median with Frequency Table: Use the formula $large frac{N + 1}{2}$ to locate the median position in an ordered list. For example, if $N$ is 15, […]
Box Plots
? Video Tutorial What is a Box Plot?: A box plot visually represents data distribution through five key values: minimum, lower quartile (Q1), median (Q2), upper quartile (Q3), and maximum. Calculating the Range: The range is the difference between the maximum and minimum values, showing the total spread of the data. Interquartile Range (IQR): The […]
Line Graphs and Curve Graphs
? Video Tutorial Understanding Line Graphs: A line graph connects data points with line segments to show trends over time, such as temperature changes throughout the day. Drawing a Line Graph: Label the x-axis (usually time) and y-axis (the measured variable), scale both axes, plot the points, and connect them with line segments. Add a […]
Calculating Probability
? Video Tutorial Definition of Probability: Probability measures how likely an event is to happen, ranging from 0 (impossible) to 1 (certain), or from 0% to 100%. Basic Probability Calculation: Probability of an event = (Number of favourable outcomes) / (Total number of outcomes). For example, drawing a red ball from 10 balls, where 3 […]
Probability Rules and Expected Values
? Video Tutorial Equiprobable Events: Events with equal chances of occurring. For example, a fair six-sided die, each face has a probability of $large frac{1}{6}$ of landing face-up. Addition Rule for Probability: For mutually exclusive events (events that can’t occur simultaneously), the probability of $A$ or $B$ is the sum of their probabilities. E.g., $P$(Blue […]