Mathematics - Term 3 - Week 4

Data handling involves collecting, organizing, and interpreting data to make informed decisions. In this lesson, we will explore different types of data, such as qualitative and quantitative data, and how to represent them using various visual models like bar graphs, line graphs, and pie charts. Understanding these concepts is essential for analyzing real-world situations and drawing conclusions based on evidence.

Consider a survey conducted in a class to find out the favorite fruit of the students. The results are as follows: Apples - 10, Bananas - 15, Oranges - 5. To represent this data, we can create a bar graph. The x-axis will represent the types of fruits, while the y-axis will represent the number of votes. This visual representation helps us quickly see which fruit is the most popular.

Now, let's create a pie chart based on the following data: In a class of 30 students, 12 prefer soccer, 10 prefer basketball, and 8 prefer tennis. First, we need to calculate the percentage of each sport. Soccer: (12/30) * 100 = 40%, Basketball: (10/30) * 100 = 33.3%, Tennis: (8/30) * 100 = 26.7%. Using these percentages, we can draw a pie chart, ensuring that each section reflects the proportion of students who prefer each sport.

You will now conduct a mini-survey among your classmates about their preferred mode of transport to school. After collecting the data, organize it into a table and create a bar graph to represent your findings. Make sure to label your axes clearly and provide a title for your graph. Once completed, write a short paragraph interpreting your results.

• Qualitative
• Quantitative
• Categorical
• Nominal

Answer: Quantitative

Quantitative data represents numerical values, such as counts of students.

• Bar graph
• Line graph
• Pie chart
• Histogram

Answer: Pie chart

A pie chart visually represents data as parts of a whole, making it easy to see proportions.

Answer: Qualitative data describes characteristics or qualities that cannot be measured numerically.

Qualitative data includes descriptions and categories, such as colors or preferences.

• 33.3%
• 66.7%
• 50%
• 25%

Answer: 66.7%

The percentage is calculated as (20/30) * 100 = 66.7%.

Answer: To make it easier to analyze and interpret the information.

Organizing data helps in identifying patterns and making informed decisions.

• Bar graph
• Table
• Line graph
• Equation

Answer: Equation

An equation is a mathematical statement, not a visual representation of data.

• Categories
• Values
• Percentages
• Labels

Answer: Values

The y-axis in a bar graph represents the values or counts of the categories shown on the x-axis.