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Data Representation Exploration

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Data Representation Exploration worksheet preview

Data Representation Exploration

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📚 Part 1: WALT, Success Criteria & Multiple Choice

WALT: Identify and explain different ways to represent data (bar graphs, line graphs, dot plots, picture graphs) and evaluate which is most suitable.

Success criteria: I can name common data representations, create a simple graph with labelled axes and an appropriate scale, and explain advantages or misleading features.

1. Which type of graph is best for comparing quantities across different categories?

Bar graph

Line graph

Dot plot

Picture graph

2. Explain the difference between categorical data and numerical data. Provide an example of each.
3. For the question "How many pets do students have?", which representation is most useful?

Bar graph

Line graph

Dot plot

Picture graph

4. Check all features that make a clear bar graph:

Labelled axes

Bars of equal width

Appropriate scale

Clear category labels

✏️ Part 2: Short Answers & Practical

5. How many variables are typically required for a graph representation? Explain your answer. From the dataset above, how many students chose Bananas as their favorite fruit? (Total number of students (n) = 18, Banana votes = 7, Apple votes = 5)
6. Which 2 fruits combined have twice the number of votes as Oranges? Show your working.
7. A line graph shows a sudden increase in temperature. In one sentence, explain what this might indicate about the data.

🔍 Part 3: Reflect, Differentiate & Extend

8. Self-check: Tick the boxes that match your work today.

I labelled axes on my graph

I chose a scale that shows all data

I used statistical words like "data point" or "category"

9. Extension (Advanced learners): Use a spreadsheet to create a line graph comparing two datasets (e.g., daily temperature vs daily rainfall). Write one sentence comparing the two graphs.

Differentiation suggestions:

Support: Use pre-drawn axes templates and colour codes for each data point.

Challenge: Create a frequency table from raw data and convert it into both a bar graph and a dot plot; compare which shows trends more clearly.

✅ Answers

1. Which type of graph is best for comparing quantities across different categories?

Answer: Bar graph

2. Explain the difference between categorical data and numerical data. Provide an example of each.

Answer: (Students should provide their own explanation and examples)

3. For the question "How many pets do students have?", which representation is most useful?

Answer: Bar graph

4. Check all features that make a clear bar graph:

Answer: Labelled axes, Bars of equal width, Appropriate scale, Clear category labels

5. How many variables are typically required for a graph representation? Explain your answer. From the dataset above, how many students chose Bananas as their favorite fruit? (Total number of students (n) = 18, Banana votes = 7, Apple votes = 5)

Answer: (Students should provide their own explanation)

6. Which 2 fruits combined have twice the number of votes as Oranges? Show your working.

Answer: Apples (5) + Bananas (7) = 12; 12 is twice the number of votes as Oranges (6).

7. A line graph shows a sudden increase in temperature. In one sentence, explain what this might indicate about the data.

Answer: It may indicate a sudden change in weather conditions or an event affecting temperature.

8. Self-check: Tick the boxes that match your work today.

Answer: (Students should tick their own boxes)

9. Extension (Advanced learners): Use a spreadsheet to create a line graph comparing two datasets (e.g., daily temperature vs daily rainfall). Write one sentence comparing the two graphs.

Answer: (Students should provide their own comparison)

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