Grade 11 Mathematics Unit 7 : Statistics

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This unit introduces you to the fundamental principles of statistics, the science of collecting, organizing, analyzing, and interpreting data. You’ll learn how to handle large sets of data by grouping them and how to calculate key values that summarize the information.

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Chapter 7.1 – Types of Data

This chapter covers the different kinds of information you can collect.

• Distinguish between the two main types of data:
  • Qualitative Data: Descriptive, non-numerical information (e.g., eye color, favorite subject).
  • Quantitative Data: Numerical information (e.g., height, test scores).
• Subdivide quantitative data into discrete (countable items) and continuous (measurable quantities) data.

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Chapter 7.2 – Introduction to Grouped Data

Learn the techniques for organizing large datasets to make them easier to analyze.

• Understand the purpose of a frequency distribution table for grouping data into classes or intervals.
• Define key terms used in frequency tables, such as class limits, class boundaries, class width, and frequency.

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Chapter 7.3 – Graphical Representation of Grouped Data

This section focuses on creating visual displays of grouped data to see patterns and trends.

• Construct a histogram, a bar chart for grouped data where the bars are adjacent to each other.
• Draw a frequency polygon, a line graph that connects the midpoints of the tops of the histogram bars.
• Create a cumulative frequency curve (ogive) to visualize the running total of the data, which helps in finding the median and percentiles. .

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Chapter 7.4 – Measures of Central Tendency and Their Interpretation

Learn how to calculate a single value that represents the “center” or “typical” value of a dataset.

• Define measures of central tendency as summary statistics that find the central point of a distribution.
• Calculate the three main measures for grouped data:
  • Mean: The average value, calculated using class midpoints.
  • Median: The middle value of the dataset.
  • Mode: The class interval with the highest frequency.
• Interpret what these measures tell you about the data’s distribution.

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Chapter 7.5 – Real-life Application of Statistics

See how the statistical methods you’ve learned are applied in various fields.

• Analyze how businesses use statistics to understand sales data and market trends.
• Explore applications in science, government, and healthcare for making data-driven decisions.

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Learning Outcomes

By the end of this unit, you’ll be able to:

• Understand different types of data and the basics of grouped data.
• Use statistical methods like calculating the mean, median, and mode to solve real-life problems.
• Analyze and compare statistical data using tables and graphs.
• Appreciate the value of statistics in everyday life.