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Free Grade 3 Introduction to Introducing Mode Common Errors Lesson Plans

Free Grade 3 lesson plans for Introduction to Introducing Mode 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

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 introduction to introducing mode common errors

    Identify introduction to introducing mode common errors accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • UnderstandExplain introduction to introducing mode common errors

    Explain introduction to introducing mode common errors accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • ApplyCalculate introduction to introducing mode common errors

    Calculate introduction to introducing mode common errors accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • AnalyseCompare introduction to introducing mode common errors

    Compare introduction to introducing mode 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 Introduction to Introducing Mode 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 9, 13, 15, 17, 18, find the mean, median, mode and range.[1]
  2. 2.For the data 1, 4, 6, 10, 14, find the mean, median, mode and range.[1]
  3. 3.For the data 9, 9, 11, 12, 19, find the mean, median, mode and range.[1]
  4. 4.For the data 3, 8, 15, 18, 20, find the mean, median, mode and range.[1]
  5. 5.For the data 3, 7, 8, 24, 29, 36, 38, find the mean, median, mode and range.[2]
  6. 6.For the data 2, 2, 3, 15, 23, 24, 26, find the mean, median, mode and range.[2]
  7. 7.For the data 12, 19, 21, 23, 26, 29, 38, find the mean, median, mode and range.[2]
  8. 8.For the data 3, 8, 15, 21, 22, 34, 40, find the mean, median, mode and range.[2]
  9. 9.For the data 14, 18, 22, 25, 31, 40, 45, 46, 56, find the mean, median, mode and range.[3]
  10. 10.For the data 2, 9, 10, 12, 42, 44, 44, 46, 52, find the mean, median, mode and range.[3]
  11. 11.For the data 7, 12, 13, 23, 34, 36, 44, 46, 60, find the mean, median, mode and range.[3]
  12. 12.For the data 9, 18, 23, 23, 35, 38, 47, 53, 58, find the mean, median, mode and range.[3]
Show answers and working
  1. 1. Mean 14.4, median 15, mode none, range 9

    Mean = 72 ÷ 5 = 14.4. Median = middle value in order = 15. Mode = most common = no repeated value. Range = 18 − 9 = 9.

  2. 2. Mean 7, median 6, mode none, range 13

    Mean = 35 ÷ 5 = 7. Median = middle value in order = 6. Mode = most common = no repeated value. Range = 14 − 1 = 13.

  3. 3. Mean 12, median 11, mode 9, range 10

    Mean = 60 ÷ 5 = 12. Median = middle value in order = 11. Mode = most common = 9. Range = 19 − 9 = 10.

  4. 4. Mean 12.8, median 15, mode none, range 17

    Mean = 64 ÷ 5 = 12.8. Median = middle value in order = 15. Mode = most common = no repeated value. Range = 20 − 3 = 17.

  5. 5. Mean 20.71, median 24, mode none, range 35

    Mean = 145 ÷ 7 = 20.71. Median = middle value in order = 24. Mode = most common = no repeated value. Range = 38 − 3 = 35.

  6. 6. Mean 13.57, median 15, mode 2, range 24

    Mean = 95 ÷ 7 = 13.57. Median = middle value in order = 15. Mode = most common = 2. Range = 26 − 2 = 24.

  7. 7. Mean 24, median 23, mode none, range 26

    Mean = 168 ÷ 7 = 24. Median = middle value in order = 23. Mode = most common = no repeated value. Range = 38 − 12 = 26.

  8. 8. Mean 20.43, median 21, mode none, range 37

    Mean = 143 ÷ 7 = 20.43. Median = middle value in order = 21. Mode = most common = no repeated value. Range = 40 − 3 = 37.

  9. 9. Mean 33, median 31, mode none, range 42

    Mean = 297 ÷ 9 = 33. Median = middle value in order = 31. Mode = most common = no repeated value. Range = 56 − 14 = 42.

  10. 10. Mean 29, median 42, mode 44, range 50

    Mean = 261 ÷ 9 = 29. Median = middle value in order = 42. Mode = most common = 44. Range = 52 − 2 = 50.

  11. 11. Mean 30.56, median 34, mode none, range 53

    Mean = 275 ÷ 9 = 30.56. Median = middle value in order = 34. Mode = most common = no repeated value. Range = 60 − 7 = 53.

  12. 12. Mean 33.78, median 35, mode 23, range 49

    Mean = 304 ÷ 9 = 33.78. Median = middle value in order = 35. Mode = most common = 23. Range = 58 − 9 = 49.

Worked examples

Easy example

For the data 4, 7, 9, 17, 20, find the mean, median, mode and range.

  1. Mean = 57 ÷ 5 = 11.4.
  2. Median = middle value in order = 9.
  3. Mode = most common = no repeated value.
  4. Range = 20 − 4 = 16.
  5. Answer: Mean 11.4, median 9, mode none, range 16
Medium example

For the data 5, 5, 15, 21, 28, 29, 32, find the mean, median, mode and range.

  1. Mean = 135 ÷ 7 = 19.29.
  2. Median = middle value in order = 21.
  3. Mode = most common = 5.
  4. Range = 32 − 5 = 27.
  5. Answer: Mean 19.29, median 21, mode 5, range 27
Hard example

For the data 1, 6, 26, 28, 46, 49, 53, 57, 58, find the mean, median, mode and range.

  1. Mean = 324 ÷ 9 = 36.
  2. Median = middle value in order = 46.
  3. Mode = most common = no repeated value.
  4. Range = 58 − 1 = 57.
  5. Answer: Mean 36, median 46, mode none, range 57

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-841.1 — Mapped statement covering Introduction to Introducing Mode Common Errors.OCR OCR-154.2 — Mapped statement covering Introduction to Introducing Mode Common Errors.

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What should a learner already know before this?
Start with Introducing Mode Word Problems. Each one has its own free lesson, worksheet and quiz.
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Move on to Key Vocabulary of Introducing Mode Common Errors, Rules and Methods in Introducing Mode Common Errors, Working with Introducing Mode Common Errors, Introducing Mode Common Errors in Examinations, which build directly on this idea.

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