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📊 6th grade math · Data & Chance

Pie charts and the mean

The mean is the fair share: move values around until all are equal. Stacks of 2, 4 and 6: total 12, shared by 3 is 4 each.

Worked example

Each stack shows the cubes a student has. They want to share so every student has the same number. How many cubes does each student end up with?
Answer: 4 cubes
Add all the values: 6 + 3 + 3 = 12. Share equally among 3: 12 ÷ 3 = 4. Answer: 4 cubes.

For grown-ups: Pie charts; the mean. Below: three problems to try with the worked answers, and a free printable sheet. Children can practise the same skill as a game, with no sign-up and no ads.

  • CCSS 6.SP.B.5
What this practises, for teachers

Practices pie charts; the mean (6.SP.B.5). A printable sheet with its answer key, worked answers on the page, no accounts.

▶ Practise it

For your class

🖨️ Printable sheet and key

Try three

  1. Each stack shows the cubes a student has. They want to share so every student has the same number. How many cubes does each student end up with?
    Show the answer and how
    Answer: 4 cubes
    Add all the values: 2 + 3 + 7 = 12. Share equally among 3: 12 ÷ 3 = 4. Answer: 4 cubes.
  2. Here is the minutes a student spent on homework for a group: 11, 7, 7, 6, 9. What is the mean?
    Show the answer and how
    Answer: 8 minutes
    Add all the values: 11 + 7 + 7 + 6 + 9 = 40. Share equally among 5: 40 ÷ 5 = 8. Answer: 8 minutes.
  3. Here is the number of cars a family owns for a group: 2, 6, 3, 10, 9, 6. What is the mean?
    Show the answer and how
    Answer: 6 cars
    Add all the values: 2 + 6 + 3 + 10 + 9 + 6 = 36. Share equally among 6: 36 ÷ 6 = 6. Answer: 6 cars.

Before and after

Comes next: Mean, median and box plots (6th)

Name: ____________________Date: ____________Score: ____ / 12

Pie charts and the mean (6th grade)

  1. Each stack shows the cubes a student has. They want to share so every student has the same number. How many cubes does each student end up with?
  2. Here is the glasses of water a student drank today for a group: 6, 4, 10, 4. What is the mean?
  3. Each stack shows the cubes a student has. They want to share so every student has the same number. How many cubes does each student end up with?
  4. Each stack shows the cubes a student has. They want to share so every student has the same number. How many cubes does each student end up with?
  5. Each stack shows the cubes a student has. They want to share so every student has the same number. How many cubes does each student end up with?
  6. Each stack shows the cubes a student has. They want to share so every student has the same number. How many cubes does each student end up with?
  7. Here is the number of books a student read this month for a group: 3, 12, 8, 1, 11. What is the mean?
  8. Each stack shows the cubes a student has. They want to share so every student has the same number. How many cubes does each student end up with?
  9. Here is the number of siblings a student has for a group: 4, 11, 12, 9, 12, 6, 2. What is the mean?
  10. Here is the glasses of water a student drank today for a group: 7, 7, 10, 3, 12, 9. What is the mean?
  11. Here is the glasses of water a student drank today for a group: 1, 2, 12, 4, 10, 8, 12, 7. What is the mean?
  12. Here is the glasses of water a student drank today for a group: 11, 3, 1, 8, 3, 10. What is the mean?

Answer key

  1. 6 cubes
  2. 6 glasses
  3. 6 cubes
  4. 5 cubes
  5. 3 cubes
  6. 6 cubes
  7. 7 books
  8. 4 cubes
  9. 8 siblings
  10. 8 glasses
  11. 7 glasses
  12. 6 glasses

More 6th grade skills: all 6th grade math skills, or every grade at math skills.