Data Handling
This module focuses on **Data Handling**, teaching students how to collect, organize using **tally marks**, represent using **pictographs and bar graphs**, and analyze data by finding the **arithmetic mean** (average).
Key Topics & Instructions
▼- Define data and understand the need for organization.
- Use **tally marks** to record frequency.
- Draw and interpret **pictographs**.
- Draw and interpret **bar graphs**.
- Calculate the **arithmetic mean** (average) of a data set.
- Enter a number in Experiment 1 to see its representation in tally marks.
- Enter a list of numbers in Experiment 2 (separated by commas) to calculate the mean.
Experiment 1: Tally Mark Converter
Enter a count (1 to 50) to see its representation using tally marks.
Experiment 2: Arithmetic Mean (Average) Calculator
Enter a set of numbers (separated by commas) to find their mean.
Tally marks are used for quickly recording frequency. For every group of four vertical strokes (||||), the fifth observation is represented by a diagonal stroke across the first four (${\text{||||\kern-5pt /}}$), making a group of five for easy counting.
Arithmetic Mean (Average)
The **Arithmetic Mean** is the most common measure of central tendency. It is calculated by dividing the sum of all observations in a data set by the total number of observations.
$$ \text{Mean} = \frac{\text{Sum of all observations}}{\text{Number of observations (N)}} $$ $$ \bar{x} = \frac{\sum x}{N} $$
