9.1

Data collection and display

10 flashcards to master Data collection and display

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Definition Flip

Define 'data' in the context of IGCSE Mathematics.

Answer Flip

Data refers to facts, figures, and other evidence gathered through observations, experiments, or surveys. It is used for analysis and to draw conclusions.

Example: The heights of students in a class are data.
Key Concept Flip

Describe how to collect data using a survey.

Answer Flip

A survey involves asking a group of people a set of questions to gather information. Design a clear questionnaire with relevant questions, select a representative sample, and analyze the responses to identify trends or patterns.

Example: A survey on favorite subjects in school.
Definition Flip

What is a frequency table, and how is it used?

Answer Flip

A frequency table organizes data by showing the number of times each value occurs. It lists each unique data value and its corresponding frequency.

Example: A table showing the number of students who scored each possible grade (A, B, C, etc.) on a test.
Key Concept Flip

Explain the difference between a bar chart and a histogram.

Answer Flip

A bar chart displays categorical data with bars of varying lengths; gaps exist between bars. A histogram displays continuous data with bars touching each other representing class intervals.

Example: Bar Chart: favorite colors, Histogram: heights of students.
Key Concept Flip

How do you calculate the angle for a sector in a pie chart?

Answer Flip

The angle for a sector is calculated by (frequency / total frequency) * 360°.

Example: If a category has a frequency of 20 and the total frequency is 100, the angle is (20/100) * 360° = 72°.
Definition Flip

Describe the purpose of a stem and leaf diagram.

Answer Flip

A stem and leaf diagram organizes numerical data to show its distribution while retaining the original values. The 'stem' represents the leading digits, and the 'leaves' represent the trailing digits.

Example: Scores of 72, 75, 81, 88 would have stems of 7 and 8 and leaves of 2, 5, 1, 8 respectively.
Key Concept Flip

Explain how to create a histogram for grouped data.

Answer Flip

For grouped data, the x-axis represents class intervals, and the y-axis represents frequency density (frequency/class width). Draw bars adjacent to each other, with the height of each bar proportional to the frequency density for its class interval.

Key Concept Flip

What information can be obtained from a scatter diagram?

Answer Flip

A scatter diagram shows the relationship between two variables. It can reveal positive, negative, or no correlation, indicating how one variable changes with respect to the other.

Example: The relationship between study hours and exam scores.
Key Concept Flip

Describe how a frequency polygon is created from a histogram.

Answer Flip

A frequency polygon is created by joining the midpoints of the top of each bar in a histogram with straight lines. The polygon is closed by joining the first and last midpoints to the x-axis at the midpoints of the adjacent class intervals.

Definition Flip

Explain the purpose of a line graph, and give an example of its application.

Answer Flip

A line graph displays data points connected by straight lines, showing trends over time or a continuous variable.

Example: Tracking the daily temperature or a company's stock price over a period of months.

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8.3 Venn diagrams 9.2 Averages and measures of spread

Key Questions: Data collection and display

Define 'data' in the context of IGCSE Mathematics.

Data refers to facts, figures, and other evidence gathered through observations, experiments, or surveys. It is used for analysis and to draw conclusions.

Example: The heights of students in a class are data.
What is a frequency table, and how is it used?

A frequency table organizes data by showing the number of times each value occurs. It lists each unique data value and its corresponding frequency.

Example: A table showing the number of students who scored each possible grade (A, B, C, etc.) on a test.
Describe the purpose of a stem and leaf diagram.

A stem and leaf diagram organizes numerical data to show its distribution while retaining the original values. The 'stem' represents the leading digits, and the 'leaves' represent the trailing digits.

Example: Scores of 72, 75, 81, 88 would have stems of 7 and 8 and leaves of 2, 5, 1, 8 respectively.
Explain the purpose of a line graph, and give an example of its application.

A line graph displays data points connected by straight lines, showing trends over time or a continuous variable.

Example: Tracking the daily temperature or a company's stock price over a period of months.

About Data collection and display (9.1)

These 10 flashcards cover everything you need to know about Data collection and display for your Cambridge IGCSE Mathematics (0580) exam. Each card is designed based on the official syllabus requirements.

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