Mathematics - Term 2 - Week 6

Data handling involves collecting, organizing, and interpreting data to make informed decisions. In this lesson, we will focus on how to represent data visually using bar graphs and pie charts. Understanding these representations helps us to analyze data effectively and draw conclusions based on the information presented.

Consider the following data set representing the number of books read by students in a month: 5, 3, 8, 6, and 4. To create a bar graph, we first label the x-axis with the number of books and the y-axis with the number of students. We then plot the data points: for 5 books, we draw a bar up to 1 student, for 3 books up to 1 student, and so on. This visual representation allows us to quickly see which number of books was most popular among students.

Let's analyze a pie chart that shows the favorite fruits of a group of students. The chart indicates that 40% prefer apples, 30% prefer bananas, 20% prefer oranges, and 10% prefer grapes. As a class, we will discuss how to interpret these percentages. For example, if there are 50 students surveyed, how many prefer apples? Students will calculate 40% of 50 and share their answers.

Now it's your turn! You will be given a data set showing the scores of students in a math test: 78, 85, 92, 70, 88, and 95. Create a bar graph to represent these scores. After that, answer the following questions: What is the highest score? What percentage of students scored above 80? Show your working clearly.

• To collect data only
• To analyze and interpret data
• To ignore data
• To memorize data

Answer: To analyze and interpret data

Data handling is primarily concerned with analyzing and interpreting data to make informed decisions.

• A list of numbers
• A pie chart
• A paragraph
• A table of contents

Answer: A pie chart

A pie chart is a visual representation that helps to display data in a circular format, showing proportions.

Answer: A bar graph is a visual representation of data using bars of different heights to show quantities.

Bar graphs are used to compare different categories of data visually.

• 24
• 30
• 36
• 20

Answer: 24

60% of 40 students is calculated as 0.6 * 40 = 24 students.

Answer: 95

The highest score in the data set is 95.

• Line graph
• Bar graph
• Pie chart
• Histogram

Answer: Pie chart

A pie chart is specifically designed to show how different parts contribute to a whole.

Answer: 50%

Three students scored above 80 (85, 92, 88, 95) out of six total students, which is 3/6 = 0.5 or 50%.