FreeMathWorksheet
Free · Grade 3 · Lessons

Free Grade 3 What is Working with Introducing Range Common Errors Lessons

Free Grade 3 lessons for What is Working with Introducing Range Common Errors: 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

30 min

Total marks

24

Learning objectives

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

  • RememberIdentify what is working with introducing range common errors

    Identify what is working with introducing range common errors accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • UnderstandExplain what is working with introducing range common errors

    Explain what is working with introducing range common errors accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • ApplyCalculate what is working with introducing range common errors

    Calculate what is working with introducing range common errors accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • AnalyseCompare what is working with introducing range common errors

    Compare what is working with introducing range common errors 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.

How What is Working with Introducing Range Common Errors 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 7, 13, 13, 14, 20, find the mean, median, mode and range.[1]
  2. 2.For the data 2, 3, 8, 15, 17, find the mean, median, mode and range.[1]
  3. 3.For the data 2, 4, 15, 18, 18, find the mean, median, mode and range.[1]
  4. 4.For the data 2, 4, 13, 14, 16, find the mean, median, mode and range.[1]
  5. 5.For the data 11, 13, 14, 24, 31, 36, 40, find the mean, median, mode and range.[2]
  6. 6.For the data 12, 13, 20, 25, 27, 32, 36, find the mean, median, mode and range.[2]
  7. 7.For the data 6, 7, 9, 13, 26, 26, 37, find the mean, median, mode and range.[2]
  8. 8.For the data 7, 11, 19, 26, 29, 31, 38, find the mean, median, mode and range.[2]
  9. 9.For the data 3, 5, 6, 16, 23, 27, 34, 46, 57, find the mean, median, mode and range.[3]
  10. 10.For the data 1, 4, 14, 21, 23, 23, 28, 52, 56, find the mean, median, mode and range.[3]
  11. 11.For the data 3, 7, 32, 33, 47, 48, 54, 57, 57, find the mean, median, mode and range.[3]
  12. 12.For the data 3, 15, 19, 25, 27, 33, 46, 52, 55, find the mean, median, mode and range.[3]
Show answers and working
  1. 1. Mean 13.4, median 13, mode 13, range 13

    Mean = 67 ÷ 5 = 13.4. Median = middle value in order = 13. Mode = most common = 13. Range = 20 − 7 = 13.

  2. 2. Mean 9, median 8, mode none, range 15

    Mean = 45 ÷ 5 = 9. Median = middle value in order = 8. Mode = most common = no repeated value. Range = 17 − 2 = 15.

  3. 3. Mean 11.4, median 15, mode 18, range 16

    Mean = 57 ÷ 5 = 11.4. Median = middle value in order = 15. Mode = most common = 18. Range = 18 − 2 = 16.

  4. 4. Mean 9.8, median 13, mode none, range 14

    Mean = 49 ÷ 5 = 9.8. Median = middle value in order = 13. Mode = most common = no repeated value. Range = 16 − 2 = 14.

  5. 5. Mean 24.14, median 24, mode none, range 29

    Mean = 169 ÷ 7 = 24.14. Median = middle value in order = 24. Mode = most common = no repeated value. Range = 40 − 11 = 29.

  6. 6. Mean 23.57, median 25, mode none, range 24

    Mean = 165 ÷ 7 = 23.57. Median = middle value in order = 25. Mode = most common = no repeated value. Range = 36 − 12 = 24.

  7. 7. Mean 17.71, median 13, mode 26, range 31

    Mean = 124 ÷ 7 = 17.71. Median = middle value in order = 13. Mode = most common = 26. Range = 37 − 6 = 31.

  8. 8. Mean 23, median 26, mode none, range 31

    Mean = 161 ÷ 7 = 23. Median = middle value in order = 26. Mode = most common = no repeated value. Range = 38 − 7 = 31.

  9. 9. Mean 24.11, median 23, mode none, range 54

    Mean = 217 ÷ 9 = 24.11. Median = middle value in order = 23. Mode = most common = no repeated value. Range = 57 − 3 = 54.

  10. 10. Mean 24.67, median 23, mode 23, range 55

    Mean = 222 ÷ 9 = 24.67. Median = middle value in order = 23. Mode = most common = 23. Range = 56 − 1 = 55.

  11. 11. Mean 37.56, median 47, mode 57, range 54

    Mean = 338 ÷ 9 = 37.56. Median = middle value in order = 47. Mode = most common = 57. Range = 57 − 3 = 54.

  12. 12. Mean 30.56, median 27, mode none, range 52

    Mean = 275 ÷ 9 = 30.56. Median = middle value in order = 27. Mode = most common = no repeated value. Range = 55 − 3 = 52.

Worked examples

Easy example

For the data 8, 10, 13, 18, 18, find the mean, median, mode and range.

  1. Mean = 67 ÷ 5 = 13.4.
  2. Median = middle value in order = 13.
  3. Mode = most common = 18.
  4. Range = 18 − 8 = 10.
  5. Answer: Mean 13.4, median 13, mode 18, range 10
Medium example

For the data 12, 16, 19, 23, 29, 32, 38, find the mean, median, mode and range.

  1. Mean = 169 ÷ 7 = 24.14.
  2. Median = middle value in order = 23.
  3. Mode = most common = no repeated value.
  4. Range = 38 − 12 = 26.
  5. Answer: Mean 24.14, median 23, mode none, range 26
Hard example

For the data 6, 6, 41, 48, 54, 55, 55, 55, 60, find the mean, median, mode and range.

  1. Mean = 380 ÷ 9 = 42.22.
  2. Median = middle value in order = 54.
  3. Mode = most common = 55.
  4. Range = 60 − 6 = 54.
  5. Answer: Mean 42.22, median 54, mode 55, range 54

Interactive practice

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

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.

CAMBRIDGE CAM-450.1 — Mapped statement covering What is Working with Introducing Range Common Errors.NATIONAL-CURRICULUM NAT-414.2 — Mapped statement covering What is Working with Introducing Range Common Errors.

Every free resource for What is Working with Introducing Range Common Errors

One concept, one ecosystem — all of it free.

Goes deeper

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

Sibling concepts

Related concepts

Lateral links, including across subjects.

Next topics

All free formats for this concept

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

Frequently asked

Is this Grade 3 What is Working with Introducing Range Common Errors lesson really free?
Yes. Every lessons 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 Rules and Methods in Introducing Range Common Errors. Each one has its own free lesson, worksheet and quiz.
How is the lesson 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 What is Working with Introducing Range Common Errors?
Move on to Working with Introducing Range Common Errors: Step-by-step Method, Working with Introducing Range Common Errors: Worked Examples, Working with Introducing Range Common Errors: Visual Models, Working with Introducing Range Common Errors: Common Mistakes, which build directly on this idea.

Related resources

Free AI Tutor

Stuck on What is Working with Introducing Range Common Errors? The AI Tutor already knows this page, its prerequisites and its common mistakes.

Open the free AI Tutor