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Free Grade 3 Averages from Tables Lesson Plans

Free Grade 3 lesson plans for Averages from Tables: 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

Higher

Estimated time

20 min

Total marks

24

Learning objectives

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

  • RememberIdentify averages from tables

    Identify averages from tables accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • UnderstandExplain averages from tables

    Explain averages from tables accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • ApplyCalculate averages from tables

    Calculate averages from tables accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • AnalyseCompare averages from tables

    Compare averages from tables 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 Averages from Tables 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 6, 11, 11, 12, 15, find the mean, median, mode and range.[1]
  2. 2.For the data 2, 3, 7, 17, 19, find the mean, median, mode and range.[1]
  3. 3.For the data 7, 7, 11, 17, 20, find the mean, median, mode and range.[1]
  4. 4.For the data 4, 5, 5, 13, 20, find the mean, median, mode and range.[1]
  5. 5.For the data 2, 5, 10, 13, 26, 30, 34, find the mean, median, mode and range.[2]
  6. 6.For the data 3, 5, 13, 15, 19, 35, 39, find the mean, median, mode and range.[2]
  7. 7.For the data 19, 25, 26, 29, 33, 34, 34, find the mean, median, mode and range.[2]
  8. 8.For the data 14, 18, 24, 30, 31, 37, 40, find the mean, median, mode and range.[2]
  9. 9.For the data 1, 5, 9, 25, 37, 37, 44, 50, 59, find the mean, median, mode and range.[3]
  10. 10.For the data 1, 14, 18, 22, 23, 32, 38, 53, 56, find the mean, median, mode and range.[3]
  11. 11.For the data 7, 15, 17, 20, 21, 26, 46, 54, 54, find the mean, median, mode and range.[3]
  12. 12.For the data 5, 11, 13, 22, 28, 37, 41, 43, 58, find the mean, median, mode and range.[3]
Show answers and working
  1. 1. Mean 11, median 11, mode 11, range 9

    Mean = 55 ÷ 5 = 11. Median = middle value in order = 11. Mode = most common = 11. Range = 15 − 6 = 9.

  2. 2. Mean 9.6, median 7, mode none, range 17

    Mean = 48 ÷ 5 = 9.6. Median = middle value in order = 7. Mode = most common = no repeated value. Range = 19 − 2 = 17.

  3. 3. Mean 12.4, median 11, mode 7, range 13

    Mean = 62 ÷ 5 = 12.4. Median = middle value in order = 11. Mode = most common = 7. Range = 20 − 7 = 13.

  4. 4. Mean 9.4, median 5, mode 5, range 16

    Mean = 47 ÷ 5 = 9.4. Median = middle value in order = 5. Mode = most common = 5. Range = 20 − 4 = 16.

  5. 5. Mean 17.14, median 13, mode none, range 32

    Mean = 120 ÷ 7 = 17.14. Median = middle value in order = 13. Mode = most common = no repeated value. Range = 34 − 2 = 32.

  6. 6. Mean 18.43, median 15, mode none, range 36

    Mean = 129 ÷ 7 = 18.43. Median = middle value in order = 15. Mode = most common = no repeated value. Range = 39 − 3 = 36.

  7. 7. Mean 28.57, median 29, mode 34, range 15

    Mean = 200 ÷ 7 = 28.57. Median = middle value in order = 29. Mode = most common = 34. Range = 34 − 19 = 15.

  8. 8. Mean 27.71, median 30, mode none, range 26

    Mean = 194 ÷ 7 = 27.71. Median = middle value in order = 30. Mode = most common = no repeated value. Range = 40 − 14 = 26.

  9. 9. Mean 29.67, median 37, mode 37, range 58

    Mean = 267 ÷ 9 = 29.67. Median = middle value in order = 37. Mode = most common = 37. Range = 59 − 1 = 58.

  10. 10. Mean 28.56, median 23, mode none, range 55

    Mean = 257 ÷ 9 = 28.56. Median = middle value in order = 23. Mode = most common = no repeated value. Range = 56 − 1 = 55.

  11. 11. Mean 28.89, median 21, mode 54, range 47

    Mean = 260 ÷ 9 = 28.89. Median = middle value in order = 21. Mode = most common = 54. Range = 54 − 7 = 47.

  12. 12. Mean 28.67, median 28, mode none, range 53

    Mean = 258 ÷ 9 = 28.67. Median = middle value in order = 28. Mode = most common = no repeated value. Range = 58 − 5 = 53.

Worked examples

Easy example

For the data 7, 12, 15, 17, 20, find the mean, median, mode and range.

  1. Mean = 71 ÷ 5 = 14.2.
  2. Median = middle value in order = 15.
  3. Mode = most common = no repeated value.
  4. Range = 20 − 7 = 13.
  5. Answer: Mean 14.2, median 15, mode none, range 13
Medium example

For the data 8, 14, 16, 31, 32, 35, 39, find the mean, median, mode and range.

  1. Mean = 175 ÷ 7 = 25.
  2. Median = middle value in order = 31.
  3. Mode = most common = no repeated value.
  4. Range = 39 − 8 = 31.
  5. Answer: Mean 25, median 31, mode none, range 31
Hard example

For the data 17, 23, 27, 30, 38, 44, 50, 51, 54, find the mean, median, mode and range.

  1. Mean = 334 ÷ 9 = 37.11.
  2. Median = middle value in order = 38.
  3. Mode = most common = no repeated value.
  4. Range = 54 − 17 = 37.
  5. Answer: Mean 37.11, median 38, mode none, range 37

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.

COMMON-CORE COM-531.1 — Mapped statement covering Averages from Tables.OCR OCR-818.2 — Mapped statement covering Averages from Tables.

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Frequently asked

Is this Grade 3 Averages from Tables lesson plan really free?
Yes. Every lesson plans 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 Range, Mode, Measurement. Each one has its own free lesson, worksheet and quiz.
How is the lesson plan 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 Averages from Tables?
Move on to Data Presentation, Data Collection, which build directly on this idea.

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