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Māori Statistics Foundations Worksheet

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Māori Statistics Foundations Worksheet

Toharite · Waenga · Reanga Auau

Statistics and data illustration

🎯 WALT (We Are Learning To)

Calculate and explain mean (toharite), median (waenga), and mode (reanga auau) using data from our school and community.

✅ Success Criteria

I can:

☐   Define toharite, waenga, and reanga auau in my own words.

☐   Calculate all three measures from a simple data set.

☐   Explain what each measure tells us about the data.

📖 Part 1: Kuputaka — Vocabulary Review

Match each Māori term to its correct English meaning and description.

Toharite
Waenga
Reanga auau
The value that appears most often in a data set (mode)
The middle value when data is ordered from smallest to largest (median)
The total of all values divided by the number of values (mean)
2. Complete the sentence using the correct Māori statistical term:

When I add up all the values and divide by how many there are, I am finding the _______________.

When I put the numbers in order and find the middle one, I am finding the _______________.

When I find which number appears the most, I am finding the _______________.

🔢 Part 2: Tātaihia — Calculate It!

3. Kapa Haka Practice Hours

Seven ākonga recorded how many hours they practised kapa haka last week:

3, 5, 2, 5, 4, 6, 5

a) Toharite (Mean) — Add all values, then divide by 7:

Toharite = _______________

b) Waenga (Median) — Write the numbers in order from smallest to largest, then circle the middle value:

Waenga = _______________

c) Reanga Auau (Mode) — Which number appears most often?

Reanga auau = _______________

4. Favourite Kai Survey

A class voted for their favourite kai. The scores (out of 10) given to hāngī by 8 students were:

8, 7, 10, 8, 9, 8, 6, 8

a) Calculate the toharite (mean):

Toharite = _______________

b) What is the reanga auau (mode)?

Reanga auau = _______________

c) Order the numbers and find the waenga (median). (Hint: With 8 values, add the two middle numbers and divide by 2.)

Waenga = _______________

5. Which measure — toharite, waenga, or reanga auau — do you think best describes the class's feelings about hāngī? Choose one and explain why:

Toharite (Mean)

Waenga (Median)

Reanga auau (Mode)

Because: _______________________________________________________________

6. He Pātai Whakaaaro — Thinking Question

Ngā ākonga o tētahi akomanga — the students in a classroom — recorded the number of siblings (tēina/tuakana) they have:

1, 0, 3, 2, 1, 4, 1, 2, 0, 1

Calculate the toharite, waenga, and reanga auau for this data set:

Toharite = _______    Waenga = _______    Reanga auau = _______

💬 Part 3: Whakamāramatia — Explain Your Thinking

7. I roto i ōu kupu ake — in your own words, explain what toharite (mean) tells us about a group of numbers. Try to write at least one sentence in te reo Māori.
8. Why is it important to know the waenga (median) as well as the toharite? Give an example from your own life to explain.

⭐ Tūāhuatanga Whakaaro — Extension Activity

For advanced learners — He mahi mō ngā ākonga māmā!

9. Design your own mini survey! Choose a topic that matters to your class or whānau (e.g., hours spent playing sport, number of waiata you know, minutes of screen time per day).

My survey question is:

Collect at least 6 responses and record them here:

Now calculate:

Toharite (Mean) = _______    Waenga (Median) = _______    Reanga auau (Mode) = _______

What does your data tell you? Write 2–3 sentences explaining your findings:

🚦 Whakaaro Hou — Reflection

10. How confident do you feel about toharite, waenga, and reanga auau? Tick one box for each:

Toharite (Mean):

🔴 I need more help

🟡 I'm getting there

🟢 I've got it!

Waenga (Median):

🔴 I need more help

🟡 I'm getting there

🟢 I've got it!

Reanga auau (Mode):

🔴 I need more help

🟡 I'm getting there

🟢 I've got it!

"He kai kei aku ringa" — There is food at the end of my hands. Keep working hard — the knowledge is within you! 🌿

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