FreeMathWorksheet
Free · Grade 3 · Worksheets

Free Grade 3 Mean Worksheets

Free Grade 3 worksheets for Mean: 12 real questions with a full answer key and worked solutions. The mean is the total divided by how many values. The median is the middle value in order. The mode is the most common. The range is largest minus smallest.

Price

Free

Difficulty

Foundation

Estimated time

35 min

Total marks

24

Learning objectives

Every objective is checkable, and each one maps to an activity and an assessment.

  • RememberIdentify mean

    Identify mean accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • UnderstandExplain mean

    Explain mean accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • ApplyCalculate mean

    Calculate mean accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • AnalyseCompare mean

    Compare mean accurately in a familiar context.

    Assessed by: Exit ticket of four short items

Prerequisites

Close these gaps first — each has its own free lesson, worksheet and quiz.

Measurement

How Mean works

The mean is the total divided by how many values. The median is the middle value in order. The mode is the most common. The range is largest minus smallest.

Key wordsmeanmedianmoderangedata

12 practice questions

Easy to hard, 24 marks in total. Try them first, then open the answers.

  1. 1.For the data 3, 12, 12, 12, 14, find the mean, median, mode and range.[1]
  2. 2.For the data 1, 6, 8, 9, 13, find the mean, median, mode and range.[1]
  3. 3.For the data 1, 4, 6, 12, 19, find the mean, median, mode and range.[1]
  4. 4.For the data 1, 6, 8, 14, 15, find the mean, median, mode and range.[1]
  5. 5.For the data 4, 8, 17, 21, 24, 32, 35, find the mean, median, mode and range.[2]
  6. 6.For the data 9, 10, 14, 17, 31, 36, 40, find the mean, median, mode and range.[2]
  7. 7.For the data 9, 13, 13, 16, 34, 38, 38, find the mean, median, mode and range.[2]
  8. 8.For the data 4, 7, 10, 17, 32, 33, 35, find the mean, median, mode and range.[2]
  9. 9.For the data 2, 6, 7, 13, 16, 19, 34, 57, 58, find the mean, median, mode and range.[3]
  10. 10.For the data 7, 25, 27, 28, 31, 34, 53, 54, 59, find the mean, median, mode and range.[3]
  11. 11.For the data 8, 20, 32, 38, 39, 54, 56, 57, 57, find the mean, median, mode and range.[3]
  12. 12.For the data 6, 17, 19, 20, 23, 28, 38, 39, 46, find the mean, median, mode and range.[3]
Show answers and working

  1. 1. Mean 10.6, median 12, mode 12, range 11

    Mean = 53 ÷ 5 = 10.6. Median = middle value in order = 12. Mode = most common = 12. Range = 14 − 3 = 11.

  2. 2. Mean 7.4, median 8, mode none, range 12

    Mean = 37 ÷ 5 = 7.4. Median = middle value in order = 8. Mode = most common = no repeated value. Range = 13 − 1 = 12.

  3. 3. Mean 8.4, median 6, mode none, range 18

    Mean = 42 ÷ 5 = 8.4. Median = middle value in order = 6. Mode = most common = no repeated value. Range = 19 − 1 = 18.

  4. 4. Mean 8.8, median 8, mode none, range 14

    Mean = 44 ÷ 5 = 8.8. Median = middle value in order = 8. Mode = most common = no repeated value. Range = 15 − 1 = 14.

  5. 5. Mean 20.14, median 21, mode none, range 31

    Mean = 141 ÷ 7 = 20.14. Median = middle value in order = 21. Mode = most common = no repeated value. Range = 35 − 4 = 31.

  6. 6. Mean 22.43, median 17, mode none, range 31

    Mean = 157 ÷ 7 = 22.43. Median = middle value in order = 17. Mode = most common = no repeated value. Range = 40 − 9 = 31.

  7. 7. Mean 23, median 16, mode 13 and 38, range 29

    Mean = 161 ÷ 7 = 23. Median = middle value in order = 16. Mode = most common = 13 and 38. Range = 38 − 9 = 29.

  8. 8. Mean 19.71, median 17, mode none, range 31

    Mean = 138 ÷ 7 = 19.71. Median = middle value in order = 17. Mode = most common = no repeated value. Range = 35 − 4 = 31.

  9. 9. Mean 23.56, median 16, mode none, range 56

    Mean = 212 ÷ 9 = 23.56. Median = middle value in order = 16. Mode = most common = no repeated value. Range = 58 − 2 = 56.

  10. 10. Mean 35.33, median 31, mode none, range 52

    Mean = 318 ÷ 9 = 35.33. Median = middle value in order = 31. Mode = most common = no repeated value. Range = 59 − 7 = 52.

  11. 11. Mean 40.11, median 39, mode 57, range 49

    Mean = 361 ÷ 9 = 40.11. Median = middle value in order = 39. Mode = most common = 57. Range = 57 − 8 = 49.

  12. 12. Mean 26.22, median 23, mode none, range 40

    Mean = 236 ÷ 9 = 26.22. Median = middle value in order = 23. Mode = most common = no repeated value. Range = 46 − 6 = 40.

Worked examples

Easy example

For the data 1, 2, 2, 4, 10, find the mean, median, mode and range.

  1. Mean = 19 ÷ 5 = 3.8.
  2. Median = middle value in order = 2.
  3. Mode = most common = 2.
  4. Range = 10 − 1 = 9.
  5. Answer: Mean 3.8, median 2, mode 2, range 9
Medium example

For the data 3, 17, 31, 32, 33, 33, 34, find the mean, median, mode and range.

  1. Mean = 183 ÷ 7 = 26.14.
  2. Median = middle value in order = 32.
  3. Mode = most common = 33.
  4. Range = 34 − 3 = 31.
  5. Answer: Mean 26.14, median 32, mode 33, range 31
Hard example

For the data 8, 16, 26, 30, 38, 44, 46, 55, 60, find the mean, median, mode and range.

  1. Mean = 323 ÷ 9 = 35.89.
  2. Median = middle value in order = 38.
  3. Mode = most common = no repeated value.
  4. Range = 60 − 8 = 52.
  5. Answer: Mean 35.89, median 38, mode none, range 52

Interactive practice

Free, no account required — answer on screen or print it.

Open the free worksheetDownload printable packPractise with the AI Tutor

Common mistakes

What learners typically get wrong, and how to fix it.

  • Finds the median without ordering the data.

    Correction: Always put the numbers in order first.

  • Gives the range as the two end numbers.

    Correction: Range is one number: largest minus smallest.

Teacher tips

  • · Collect real class data (heights, shoe sizes).

Parent tips

  • · Work out your average bedtime over a week.

Real-life applications

  • · Sports averages, typical prices, test scores.

Assessment objectives

How mastery is evidenced, and which standards it maps to.

IB IB-807.1 — Mapped statement covering Mean.EDEXCEL EDE-796.2 — Mapped statement covering Mean.

Every free resource for Mean

One concept, one ecosystem — all of it free.

Free Mean quizzes
Free Mean flashcards
Free Mean lessons
Free Mean lesson plans

Goes deeper

The entities below this one, each with the same complete free resource set.

Introducing Mean
Working with Mean
Mean in Context

Sibling concepts

Median
Mode
Range
Averages from Tables

Related concepts

Lateral links, including across subjects.

Median
Mode
Range
Averages from Tables
Data Presentation

Next topics

Median
Mode
Range
Averages from Tables

All free formats for this concept

Every kind below is a real page, generated from this entity.

Frequently asked

Is this Grade 3 Mean worksheet really free?
Yes. Every worksheets on FreeMathWorksheet is free to use, print and share — no account, no paywall and no watermark.
What should a learner already know before this?
Start with Measurement. Each one has its own free lesson, worksheet and quiz.
How is the worksheet sequenced?
Recognition first, then understanding, application, reasoning and finally mastery — the same ladder used across every free resource on the platform.
What comes next after Mean?
Move on to Median, Mode, Range, Averages from Tables, which build directly on this idea.

Related resources

Free AI Tutor

Stuck on Mean? The AI Tutor already knows this page, its prerequisites and its common mistakes.

Open the free AI Tutor