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Mean, median and box plots: 6th grade math

Statistical questions; distributions; centre (mean, median) and spread (range, IQR, MAD); dot plots, histograms, box plots. A free 6th grade lesson plan, a question set with answers and a printable sheet with its key. Copy it and make it yours.

Lesson plan

Goal

  • Students can do this: statistical questions; distributions; centre (mean, median) and spread (range, IQR, MAD); dot plots, histograms, box plots.

Teach (10 min)

  • A statistical question expects different answers from different people or times.
  • "How many pets does each student have?" varies. "How many days are in October?" has one answer.
  • Work one example on the board while students say each step aloud, then do one together.

Practise (15 min)

  • Students work the printable sheet in pairs, then alone.
  • Or practise it as a game with no sign-up: https://peabody.kids/math/stats.question?lesson=6-stats-question-1&at=6

Exit ticket (5 min)

  • Three questions on a slip:
  • 1. Which of these is a statistical question?
  • 2. Which of these is a statistical question?
  • 3. Is this a statistical question? How tall are the students in a 6th grade class?

Question set

10 questions that read in words, easiest first. Questions that need a picture are on the printable sheet below.

  1. Which of these is a statistical question?
  2. Which of these is a statistical question?
  3. Is this a statistical question? How tall are the students in a 6th grade class?
  4. Which of these is a statistical question?
  5. Is this a statistical question? What is the temperature outside right now?
  6. Is this a statistical question? How many books do the students at our school read in a month?
  7. Which of these is NOT a statistical question?
  8. Is this a statistical question? How many books do the students at our school read in a month?
  9. Which of these is NOT a statistical question?
  10. Which of these is NOT a statistical question?
Answers
  1. How many brothers and sisters do the students in our grade have?
  2. How much rain falls each day in our town in a month?
  3. Yes, it is a statistical question
  4. How many books do the students at our school read in a month?
  5. No, it is not a statistical question
  6. Yes, it is a statistical question
  7. What time does school start?
  8. Yes, it is a statistical question
  9. How many days are in October?
  10. What is the capital of Colorado?

Printable sheet

Name: ____________________   Date: ____________

Mean, median and box plots (6th grade)

  1. Which of these is a statistical question?
  2. Which of these is a statistical question?
  3. Is this a statistical question? How many players from one soccer team are on the field?
  4. Which of these is a statistical question?
  5. Which of these is NOT a statistical question?
  6. Which of these is a statistical question?
  7. Which of these is NOT a statistical question?
  8. Which of these is NOT a statistical question?
  9. Which of these is a statistical question?
  10. Which of these is a statistical question?
  11. Is this a statistical question? How many hours do kids in our town sleep on school nights?
  12. Is this a statistical question? How old are the dogs at the park?
Key
  1. How tall are the students in a 6th grade class?
  2. How long does it take each student in a class to get to school?
  3. No, it is not a statistical question
  4. How tall are the students in a 6th grade class?
  5. What is the capital of Colorado?
  6. How many points does a team score in each of its games?
  7. What is the capital of Colorado?
  8. How many days are in October?
  9. How many pets does each student in our class have?
  10. How many hours do kids in our town sleep on school nights?
  11. Yes, it is a statistical question
  12. Yes, it is a statistical question

Written by Peabody from its own skill pages. Free, no ads, no sign-in. Children can practise this on Peabody. More from teachers: teacher-shared resources.