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Free Grade 3 Introduction to Introducing Range Common Errors Lesson Plans

Free Grade 3 lesson plans for Introduction to 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

35 min

Total marks

24

Learning objectives

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

  • RememberIdentify introduction to introducing range common errors

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

    Assessed by: Exit ticket of four short items

  • UnderstandExplain introduction to introducing range common errors

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

    Assessed by: Exit ticket of four short items

  • ApplyCalculate introduction to introducing range common errors

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

    Assessed by: Exit ticket of four short items

  • AnalyseCompare introduction to introducing range common errors

    Compare introduction to 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 Introduction to 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 8, 9, 14, 14, 15, find the mean, median, mode and range.[1]
  2. 2.For the data 3, 3, 5, 14, 18, find the mean, median, mode and range.[1]
  3. 3.For the data 6, 13, 15, 17, 20, find the mean, median, mode and range.[1]
  4. 4.For the data 3, 5, 6, 18, 19, find the mean, median, mode and range.[1]
  5. 5.For the data 8, 12, 13, 21, 25, 28, 34, find the mean, median, mode and range.[2]
  6. 6.For the data 7, 7, 22, 24, 30, 35, 38, find the mean, median, mode and range.[2]
  7. 7.For the data 5, 8, 12, 12, 17, 19, 29, find the mean, median, mode and range.[2]
  8. 8.For the data 6, 11, 13, 19, 28, 30, 34, find the mean, median, mode and range.[2]
  9. 9.For the data 7, 13, 21, 21, 42, 47, 47, 48, 50, find the mean, median, mode and range.[3]
  10. 10.For the data 8, 13, 14, 17, 18, 20, 34, 45, 54, find the mean, median, mode and range.[3]
  11. 11.For the data 1, 3, 5, 25, 35, 51, 52, 57, 59, find the mean, median, mode and range.[3]
  12. 12.For the data 6, 14, 15, 16, 24, 33, 36, 36, 50, find the mean, median, mode and range.[3]
Show answers and working
  1. 1. Mean 12, median 14, mode 14, range 7

    Mean = 60 ÷ 5 = 12. Median = middle value in order = 14. Mode = most common = 14. Range = 15 − 8 = 7.

  2. 2. Mean 8.6, median 5, mode 3, range 15

    Mean = 43 ÷ 5 = 8.6. Median = middle value in order = 5. Mode = most common = 3. Range = 18 − 3 = 15.

  3. 3. Mean 14.2, median 15, mode none, range 14

    Mean = 71 ÷ 5 = 14.2. Median = middle value in order = 15. Mode = most common = no repeated value. Range = 20 − 6 = 14.

  4. 4. Mean 10.2, median 6, mode none, range 16

    Mean = 51 ÷ 5 = 10.2. Median = middle value in order = 6. Mode = most common = no repeated value. Range = 19 − 3 = 16.

  5. 5. Mean 20.14, median 21, mode none, range 26

    Mean = 141 ÷ 7 = 20.14. Median = middle value in order = 21. Mode = most common = no repeated value. Range = 34 − 8 = 26.

  6. 6. Mean 23.29, median 24, mode 7, range 31

    Mean = 163 ÷ 7 = 23.29. Median = middle value in order = 24. Mode = most common = 7. Range = 38 − 7 = 31.

  7. 7. Mean 14.57, median 12, mode 12, range 24

    Mean = 102 ÷ 7 = 14.57. Median = middle value in order = 12. Mode = most common = 12. Range = 29 − 5 = 24.

  8. 8. Mean 20.14, median 19, mode none, range 28

    Mean = 141 ÷ 7 = 20.14. Median = middle value in order = 19. Mode = most common = no repeated value. Range = 34 − 6 = 28.

  9. 9. Mean 32.89, median 42, mode 21 and 47, range 43

    Mean = 296 ÷ 9 = 32.89. Median = middle value in order = 42. Mode = most common = 21 and 47. Range = 50 − 7 = 43.

  10. 10. Mean 24.78, median 18, mode none, range 46

    Mean = 223 ÷ 9 = 24.78. Median = middle value in order = 18. Mode = most common = no repeated value. Range = 54 − 8 = 46.

  11. 11. Mean 32, median 35, mode none, range 58

    Mean = 288 ÷ 9 = 32. Median = middle value in order = 35. Mode = most common = no repeated value. Range = 59 − 1 = 58.

  12. 12. Mean 25.56, median 24, mode 36, range 44

    Mean = 230 ÷ 9 = 25.56. Median = middle value in order = 24. Mode = most common = 36. Range = 50 − 6 = 44.

Worked examples

Easy example

For the data 8, 9, 11, 14, 15, find the mean, median, mode and range.

  1. Mean = 57 ÷ 5 = 11.4.
  2. Median = middle value in order = 11.
  3. Mode = most common = no repeated value.
  4. Range = 15 − 8 = 7.
  5. Answer: Mean 11.4, median 11, mode none, range 7
Medium example

For the data 5, 11, 17, 18, 23, 29, 33, find the mean, median, mode and range.

  1. Mean = 136 ÷ 7 = 19.43.
  2. Median = middle value in order = 18.
  3. Mode = most common = no repeated value.
  4. Range = 33 − 5 = 28.
  5. Answer: Mean 19.43, median 18, mode none, range 28
Hard example

For the data 2, 9, 10, 32, 38, 44, 53, 54, 60, find the mean, median, mode and range.

  1. Mean = 302 ÷ 9 = 33.56.
  2. Median = middle value in order = 38.
  3. Mode = most common = no repeated value.
  4. Range = 60 − 2 = 58.
  5. Answer: Mean 33.56, median 38, mode none, range 58

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-558.1 — Mapped statement covering Introduction to Introducing Range Common Errors.NATIONAL-CURRICULUM NAT-710.2 — Mapped statement covering Introduction to Introducing Range Common Errors.

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Start with Introducing Range Word Problems. Each one has its own free lesson, worksheet and quiz.
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