You will learn
- Read graphs.
- Calculate averages.
- Spot trends.
- State valid conclusions.
Version 0.2 · expanded edition · built from cited public sources Content is based on the official frameworks and sources listed under Sources and standards. No official endorsement is claimed. Written in the style of common primary school assessments. No exam result is promised.
Student lesson
- Choose the graph to fit the data.
- Mean, median and mode are different averages.
- A trend is not a proof of a cause.
- Check axes and scales.
Words to know
the sum divided by the number of values
the middle value when ordered
the most common value
the general direction of data
1. Discover: The misleading graph
A newspaper graph shows ice-cream sales rising with shark attacks. “Should we ban ice cream?” jokes Ms Bonsu. The class discusses: both rise in summer. “A link in the data does not mean one causes the other.”
Think: What third factor links them?
2. Understand: Data
Idea 1: Averages
The mean is the sum divided by the count; the median is the middle value; the mode is the most common value; the range is highest minus lowest. For data 2, 3, 3, 4, 8: mean 4, median 3, mode 3, range 6.
Idea 2: Graphs
Use bar charts for categories, line graphs for change over time and scatter graphs for relationships. Check labels, units and whether the axis starts at zero. Look for a trend and for anomalies.
Idea 3: Conclusions
A conclusion must follow from the data. Correlation does not prove causation, and small samples can mislead. Say what the data show and what they do not.
3. Worked examples
Example 1 (I show you): Calculate
Averages.
- Mean.
- Median.
- Mode.
Answer: Three averages.
Example 2 (We do it together): Choose
Graph.
- Categories.
- Time.
- Relationship.
Answer: Type.
Example 3 (You try): Judge
Conclusion.
Show the steps and answer
- Data.
- Cause.
- Limits.
Answer: Valid or not.
Did you know?
Florence Nightingale used a coloured polar-area chart in the 1850s to show that disease, not battle, killed most soldiers, helping change hospital practice.
Why this matters
Reading data critically is a skill for science and for life.
4. Explore: Class survey
Survey your class on a question such as how many minutes pupils spend reading each day, record the data, calculate mean, median, mode and range, draw a graph and write two valid conclusions.
- Collect.
- Calculate.
- Graph.
- Conclude.
Think about it: what did you notice?
What did you notice? The mean and median differed because one value was very large.
5. Practise
Say it in a sentence
Use these starters when you talk about the lesson. Say them out loud.
- The ___ is the sum divided by the count.
- The ___ is the middle value.
- The ___ is the most common value.
- A ___ is the general direction of data.
Guided practice
Question 1. Mean of 2, 4, 6?
4.
Question 2. Median of 1, 3, 9?
3.
Question 3. Mode of 2, 2, 5?
2.
Independent practice
Level 1: Start
- Mean of 2, 4, 6?
- Median of 1, 3, 9?
- Mode of 2, 2, 5?
- Range of 3 to 9?
- Bar chart for?
Level 2: Grow
- Why check axes?
- Why not cause?
- Why sample size?
Level 3: Stretch
- Survey.
- Graph.
- Conclude.
Answers are in the answer key below. Try first, then check.
6. Apply: Science in everyday life
Explain why a link in data may not show a cause.
Show a sample answer
Use an example.
Another one. Tell a family member one thing from this lesson. Use the words you learned.
Show a sample answer
A clear sentence that uses at least one word from Words to know.
7. Common mistakes
Fix: Not always.
Fix: Check.
8. Lesson summary and revision card
- I can read graphs.
- I can calculate averages.
- I can spot trends.
- I can state valid conclusions.
9. Check and master
Answer all 14 questions. You will see feedback after each one.
Your result appears here after you answer every question.
10. Key takeaways
- Choose the graph to fit the data.
- Mean, median and mode are different averages.
- A trend is not a proof of a cause.
- Check axes and scales.
11. Next lesson
Next lesson: Scientific reasoning. Keep going with the next idea in this course.
Exam practice
These questions are written in the style of common school and international primary assessments. Try them on your own, without looking back. Then check your answers in the marking guide. The marks are shown in brackets.
- Define median and mode. [2 marks]
- Calculate mean, median, mode of a set. [3 marks]
- Explain why correlation is not causation. [3 marks]
- Safety rule. [2 marks]
Total: 10 marks.
Marking guide and model answers
- 1 each
- Each [1]
- Link [1]; third factor [1]; example [1]
- Any [1]; reason [1]
Score guide: 9 to 10 = secure. 6 to 8 = nearly there, revise the parts you missed. Under 6 = work through the lesson again with a grown-up.
Printable worksheet
- Mean of 2, 4, 6?
- Median of 1, 3, 9?
- Mode of 2, 2, 5?
- Range of 3 to 9?
- Bar chart for?
- Why check axes?
- Why not cause?
- Why sample size?
- Survey.
- Graph.
Homework
Find a graph in a news article and critique it.
Answer key and marking scheme
| Question | Expected response | Marks |
|---|---|---|
| 1. Mean of 2, 4, 6? | 4. | 1 |
| 2. Median of 1, 3, 9? | 3. | 1 |
| 3. Mode of 2, 2, 5? | 2. | 1 |
| 4. Range of 3 to 9? | 6. | 1 |
| 5. Bar chart for? | Categories. | 1 |
| 6. Why check axes? | Accuracy. | 1 |
| 7. Why not cause? | Third factor. | 1 |
| 8. Why sample size? | Reliability. | 1 |
| 9. Survey. | Table. | 1 |
| 10. Graph. | Chart. | 1 |
| Total | 10 |
Independent practice answers. Level 1: 1 4.; 2 3.; 3 2.; 4 6.; 5 Categories.. Level 2: 1 Accuracy.; 2 Third factor.; 3 Reliability.. Level 3: 1 Table.; 2 Chart.; 3 Sentence..
Quiz answers: 1 B, 2 C, 3 A, 4 B, 5 C, 6 A, 7 B, 8 C, 9 A, 10 B, 11 C, 12 A, Challenge 1 B, Challenge 2 C.
Mastery and remediation
| Objective | Bronze (Developing) | Silver (Proficient) | Gold (Advanced) |
|---|---|---|---|
| O1 Read graphs | Shows this with help from an adult or a picture | Does this independently and explains how they know | Explains it clearly and uses it in a new situation |
| O2 Calculate averages | Shows this with help from an adult or a picture | Does this independently and explains how they know | Explains it clearly and uses it in a new situation |
| O3 Spot trends | Shows this with help from an adult or a picture | Does this independently and explains how they know | Explains it clearly and uses it in a new situation |
| O4 State valid conclusions | Shows this with help from an adult or a picture | Does this independently and explains how they know | Explains it clearly and uses it in a new situation |
Courseversity badge thresholds (overall quiz score): Gold = 90–100%; Silver = 80–89.9%; Bronze = 70–79.9%. A badge is never a full record of progress.
If a learner struggles
- Find the misconception: “Two things rise together, so one causes the other.” Not always.
- Explain another way: use real objects, pictures or actions first, then words.
- Show a simpler example: Interpret data.
- Guided practice: work through one example together and let the learner try the next one.
- Reassess: use the quiz again or the worksheet.
- Move on when the learner shows Silver-level evidence independently.
For parents and guardians
In this lesson your child practises reading and critiquing data. You do not need to be an expert to help.
- Look at a graph together.
- Ask “Can we trust it?”
- Respect privacy.
- Ask “how do you know?” after each answer, and listen.
- Praise effort, not only right answers. Mistakes are how we learn.
- Ten to fifteen minutes a day is better than one long session.
Teacher package
1–5. Objectives, prerequisites, materials, preparation, duration
Lesson objectives. Learners will: read graphs; calculate averages; spot trends; state valid conclusions.
Prerequisite knowledge. Grade 6 ideas: Units 1 to 11 of Grade 6 Science.
Materials. Graph paper, rulers, data. Low-resource options: use chalk or charcoal on a board or wall, drawings in the sand, and objects from the classroom instead of printed materials.
Preparation. Print data.
Suggested duration. 45–60 minutes. It can be split into two shorter sessions.
6–9. Teaching procedure, explanation notes, guided and independent activities
Introduction (5 min). Show a misleading graph and ask, “What is wrong?”
Explanation (10 min). Teach interpretation.
Guided activity (10 min). Learners calculate.
Independent activity (10 min). Learners graph.
Assessment and reflection (5 min). Ask each learner to say one thing they learned and how they know it.
Key questions. What does the data show? What does it not show?
Teacher explanation notes. Start with real objects and safe, hands-on observation. Then talk about what was seen, then draw and write. Always say “how do you know?”. Keep to the safety notes, and use local, safe materials.
10–12. Differentiation, formative assessment, common misconceptions
Support. Use real objects and pictures, short sentences and a partner. Let learners point, show or draw instead of writing. Extension. Ask learners to find a new example at home and explain how they know.
Formative assessment. Listen to learners read and explain, ask “how do you know?”, and check the independent work.
Misconceptions. “Two things rise together, so one causes the other.” Not always.
13–15. Assessment questions, answer keys, marking scheme
Use the quiz, the 10-mark exam practice and the worksheet on this page. All answers and marking guides are in the answer sections above. Re-check every answer before use.
16–19. Remediation, enrichment, homework, teacher reflection
Remediation. Interpret data. Enrichment. Look for one new example near your home or school, draw it and explain it to someone. Homework. See above.
Teacher reflection. After teaching, record: which ideas learners understood; which misconceptions occurred; which activities worked; which learners need more practice; and what to improve next time.
Sources and standards
This lesson is based on the sources below, and no official endorsement is claimed. Reference starting points: Next Generation Science Standards, Cambridge Primary Science and the IB Primary Years Programme. Where a standard code is named, it points to the official framework.
Research used to shape this lesson. Courseversity Science curriculum, Grade 6 Unit 12, topic 7; Next Generation Science Standards, science and engineering practices; Cambridge Lower Secondary Science, thinking and working scientifically; IB Primary Years Programme, how we express ourselves. These sources informed the lesson.