Interpretation
Overview
Three statements, all Core, and between them they carry the part of statistics that cannot be done by a calculator. Anybody can find a mean. The marks in this topic go to the candidate who can say what a graph is telling them, compare two sets of data in a sentence that a reader could act on, and know exactly how far a line of best fit can be trusted before it becomes a guess.
You will read and interpret a wide range of graphs and diagrams and draw conclusions from them; compare distributions and make inferences; and recognise correlation and draw or use lines of best fit by eye while understanding what these represent. The specification's own note names the vocabulary you must use for the last of those: positive correlation, negative correlation, no correlation, weak correlation and strong correlation.
Objectives
- [Core] read and interpret a wide range of graphs and diagrams and draw conclusions
- [Core] compare distributions and make inferences
- [Core] recognise correlation and draw and/or use lines of best fit by eye, understanding what these represent (Notes: students should know and understand the terms: positive correlation, negative correlation, no correlation, weak correlation and strong correlation)
Mind map
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Lesson Note
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Lesson Evaluation
Congratulations on completing the lesson on Interpretation. 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 scatter graph's points fall from left to right and lie close to a straight line. How should the correlation be described? A. Strong positive B. Weak positive C. Strong negative D. No correlation Answer: C
- Which of these is extrapolation? A. Using a line of best fit to estimate a value inside the range of the data B. Using a line of best fit to estimate a value beyond the range of the data C. Drawing a line of best fit with a ruler D. Ignoring an outlier Answer: B
- Two data sets have the same mean but one has a much larger range. What does that tell you? A. The two sets are identical B. One set is more consistent than the other C. One set has a higher typical value D. Nothing can be concluded Answer: B
- A pictogram shows 13 symbols in total, representing 260 items. What is one symbol worth? A. 13 B. 20 C. 26 D. 260 Answer: B
- A scatter graph shows strong positive correlation between two variables. What can be concluded? A. One variable causes the other B. The two variables tend to increase together C. There is no relationship between them D. One variable decreases as the other increases Answer: B
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