Interpreting Statistical Data
Overview
Collecting data is only half the job. The real value comes from reading it well: spotting the message in a table, drawing fair conclusions from a chart, and knowing the difference between what the data shows and what it merely suggests. Good interpretation is a skill that protects you from being misled.
In this lesson you will read and draw inferences from tables and statistical diagrams, compare two data sets using both an average and a measure of spread, and learn the limits of what data can honestly tell you. These critical-thinking skills matter far beyond the exam, in any situation where numbers are used to make a case.
Objectives
- Read, interpret and draw inferences from tables and statistical diagrams.
- Compare sets of data using tables, graphs and statistical measures.
- Appreciate restrictions on drawing conclusions from given data.
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Lesson Note
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Lesson Evaluation
Congratulations on completing the lesson on Interpreting Statistical Data. Now that youve explored the key concepts and ideas, its time to put your knowledge to the test. This section offers a variety of practice questions designed to reinforce your understanding and help you gauge your grasp of the material.
You will encounter a mix of question types, including multiple-choice questions, short answer questions, and essay questions. Each question is thoughtfully crafted to assess different aspects of your knowledge and critical thinking skills.
Use this evaluation section as an opportunity to reinforce your understanding of the topic and to identify any areas where you may need additional study. Don't be discouraged by any challenges you encounter; instead, view them as opportunities for growth and improvement.
- A shop sells tea 24, coffee 36, juice 12 and water 8. How many drinks were sold in total? A. 68 B. 72 C. 80 D. 84 Answer: C
- Using those sales, what percentage of the drinks were coffee? A. 30% B. 36% C. 45% D. 50% Answer: C
- Class A has mean 60 and range 20; Class B has mean 60 and range 50. Which statement is correct? A. Class A performed much better on average B. The classes have the same average but A is more consistent C. Class B is more consistent D. The classes cannot be compared Answer: B
- Ice cream sales and drowning both rise in summer. What does this best illustrate? A. Ice cream causes drowning B. Drowning causes ice cream sales C. Correlation does not prove causation D. There is no link at all Answer: C
- Which is the most reliable basis for a conclusion about a whole country? A. A survey of 10 friends B. A survey of one town C. A large representative sample D. A single person's opinion Answer: C
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