Mathematics - Term 3 - Week 4

Data handling involves collecting, organizing, and interpreting data to make informed decisions. It is crucial in various fields such as science, business, and everyday life. In this lesson, we will focus on how to represent data using different methods, such as tables, graphs, and charts. Understanding these concepts will help us analyze data effectively and draw meaningful conclusions.

Let's consider a scenario where we surveyed 30 students about their favorite fruit. The results were: Apples - 10, Bananas - 8, Oranges - 6, and Grapes - 6. We can represent this data using a bar graph. On the x-axis, we will list the fruits, and on the y-axis, we will represent the number of students. Each fruit will have a corresponding bar that shows how many students chose it as their favorite. This visual representation makes it easier to compare the popularity of each fruit.

Now, let's create a pie chart based on the same data we used for the bar graph. To do this, we need to calculate the percentage of students who chose each fruit. For example, for Apples, the percentage is (10/30) * 100 = 33.33%. We will repeat this for each fruit and then draw a circle divided into sections that represent these percentages. This exercise will help us visualize the data in a different way and understand how to interpret pie charts.

Now it's your turn to practice! Below are some data handling problems for you to solve independently. Make sure to show your working clearly. 1. A survey of 40 students revealed their favorite sport: Soccer - 15, Basketball - 10, Tennis - 8, and Cricket - 7. Create a bar graph to represent this data. 2. Calculate the percentage of students who prefer Soccer. 3. If 5 more students prefer Basketball, how would this change the bar graph? Draw the updated graph.

• Collecting and organizing data
• Only collecting data
• Only analyzing data
• None of the above

Answer: Collecting and organizing data

Data handling encompasses both the collection and organization of data to analyze it effectively.

• Bar graph
• Line graph
• Pie chart
• Histogram

Answer: Pie chart

A pie chart visually represents data as parts of a whole, making it ideal for showing percentages.

Answer: 20%

The percentage is calculated as (8/40) * 100 = 20%.

• Pie chart
• Bar graph
• Line graph
• Scatter plot

Answer: Bar graph

A bar graph uses bars to represent and compare different quantities visually.

Answer: 2:1

The ratio is 10:5, which simplifies to 2:1.

• Bar graph
• Pie chart
• Table
• Equation

Answer: Equation

An equation is not a method of data representation; it is a mathematical statement.

Answer: Collecting data

The first step in data handling is to collect data relevant to the study or survey.

• A graph showing frequency distribution