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Exploring Averages with Graphs

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Exploring Averages with Graphs

Exploring Averages with Graphs

Bar graph with colourful data bars

📊 Part 1: Understanding Averages

1. Match each type of average with its meaning:
1. Mode
2. Median
3. Mean
A. The middle one in a line-up
B. What you get if you share fairly
C. The thing that happens the most
2. Circle the correct answer. Which average tells us the "most popular"?

Mode

Median

Mean

🍎 Part 2: Finding the Mode

3. Look at this data about favourite fruits in our class:

Apples: 8 votes, Bananas: 5 votes, Oranges: 3 votes, Grapes: 8 votes

Which fruit is the mode (appears most often)?

Apples only

Grapes only

Both apples and grapes

Bananas

4. Draw a simple bar graph to show the fruit data above:

📏 Part 3: Finding the Median

5. Here are the heights of 5 students in centimetres: 120, 115, 125, 118, 122

First, put them in order from smallest to biggest: _____, _____, _____, _____, _____

The median (middle number) is: _____ cm

6. Circle the correct answer. To find the median, we need to:

Find the biggest number

Put numbers in order and find the middle

Add all numbers together

Count how many times each number appears

🎈 Part 4: Understanding Mean (Fair Share)

7. There are 15 balloons to share equally among 3 children. How many balloons does each child get?
8. Show your working for the balloon problem:
9. Check all the situations where we might use the mean (fair share):

Sharing lollies equally among friends

Finding the most popular colour

Dividing pocket money fairly

Sharing art supplies in groups

🏫 Part 5: Real-World Averages

10. Our class collected data about pets. Here are the results:

Dogs: 6, Cats: 4, Fish: 2, Birds: 1, Rabbits: 2

The mode (most common pet) is: ________________

If we put the numbers in order: _____, _____, _____, _____, _____

The median is: _____

11. Explain in your own words what the mode tells us about our class pets:
12. Draw a picture showing how you would share 12 stickers equally among 4 friends:

🤔 Part 6: Thinking About Averages

13. Which average would be most useful in these situations? Write Mode, Median, or Mean:

Finding the most popular school lunch: ________________

Sharing 20 pencils among 5 groups: ________________

Finding the middle score in a test: ________________

14. Create your own simple data set and find the mode:

My data (choose something like favourite colours, sports, or animals):

The mode is: ________________

15. What was the most interesting thing you learned about averages today?

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