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Free Grade 3 Working with Introducing Range Common Errors: Visual Models Lesson Plans

Free Grade 3 lesson plans for Working with Introducing Range Common Errors: Visual Models: 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

25 min

Total marks

24

Learning objectives

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

  • RememberIdentify working with introducing range common errors: visual models

    Identify working with introducing range common errors: visual models accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • UnderstandExplain working with introducing range common errors: visual models

    Explain working with introducing range common errors: visual models accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • ApplyCalculate working with introducing range common errors: visual models

    Calculate working with introducing range common errors: visual models accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • AnalyseCompare working with introducing range common errors: visual models

    Compare working with introducing range common errors: visual models 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 Working with Introducing Range Common Errors: Visual Models 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, 18, 19, find the mean, median, mode and range.[1]
  2. 2.For the data 2, 4, 10, 14, 18, find the mean, median, mode and range.[1]
  3. 3.For the data 1, 9, 11, 17, 18, find the mean, median, mode and range.[1]
  4. 4.For the data 1, 2, 9, 10, 11, find the mean, median, mode and range.[1]
  5. 5.For the data 10, 10, 19, 21, 22, 24, 25, find the mean, median, mode and range.[2]
  6. 6.For the data 11, 19, 20, 29, 30, 33, 38, find the mean, median, mode and range.[2]
  7. 7.For the data 5, 10, 15, 20, 24, 28, 35, find the mean, median, mode and range.[2]
  8. 8.For the data 6, 8, 11, 17, 27, 32, 36, find the mean, median, mode and range.[2]
  9. 9.For the data 2, 10, 16, 24, 29, 30, 51, 56, 59, find the mean, median, mode and range.[3]
  10. 10.For the data 10, 10, 11, 20, 40, 52, 56, 58, 59, find the mean, median, mode and range.[3]
  11. 11.For the data 1, 13, 21, 30, 32, 37, 38, 51, 53, find the mean, median, mode and range.[3]
  12. 12.For the data 3, 23, 27, 28, 29, 42, 43, 45, 58, find the mean, median, mode and range.[3]
Show answers and working
  1. 1. Mean 13, median 11, mode 11, range 13

    Mean = 65 ÷ 5 = 13. Median = middle value in order = 11. Mode = most common = 11. Range = 19 − 6 = 13.

  2. 2. Mean 9.6, median 10, mode none, range 16

    Mean = 48 ÷ 5 = 9.6. Median = middle value in order = 10. Mode = most common = no repeated value. Range = 18 − 2 = 16.

  3. 3. Mean 11.2, median 11, mode none, range 17

    Mean = 56 ÷ 5 = 11.2. Median = middle value in order = 11. Mode = most common = no repeated value. Range = 18 − 1 = 17.

  4. 4. Mean 6.6, median 9, mode none, range 10

    Mean = 33 ÷ 5 = 6.6. Median = middle value in order = 9. Mode = most common = no repeated value. Range = 11 − 1 = 10.

  5. 5. Mean 18.71, median 21, mode 10, range 15

    Mean = 131 ÷ 7 = 18.71. Median = middle value in order = 21. Mode = most common = 10. Range = 25 − 10 = 15.

  6. 6. Mean 25.71, median 29, mode none, range 27

    Mean = 180 ÷ 7 = 25.71. Median = middle value in order = 29. Mode = most common = no repeated value. Range = 38 − 11 = 27.

  7. 7. Mean 19.57, median 20, mode none, range 30

    Mean = 137 ÷ 7 = 19.57. Median = middle value in order = 20. Mode = most common = no repeated value. Range = 35 − 5 = 30.

  8. 8. Mean 19.57, median 17, mode none, range 30

    Mean = 137 ÷ 7 = 19.57. Median = middle value in order = 17. Mode = most common = no repeated value. Range = 36 − 6 = 30.

  9. 9. Mean 30.78, median 29, mode none, range 57

    Mean = 277 ÷ 9 = 30.78. Median = middle value in order = 29. Mode = most common = no repeated value. Range = 59 − 2 = 57.

  10. 10. Mean 35.11, median 40, mode 10, range 49

    Mean = 316 ÷ 9 = 35.11. Median = middle value in order = 40. Mode = most common = 10. Range = 59 − 10 = 49.

  11. 11. Mean 30.67, median 32, mode none, range 52

    Mean = 276 ÷ 9 = 30.67. Median = middle value in order = 32. Mode = most common = no repeated value. Range = 53 − 1 = 52.

  12. 12. Mean 33.11, median 29, mode none, range 55

    Mean = 298 ÷ 9 = 33.11. Median = middle value in order = 29. Mode = most common = no repeated value. Range = 58 − 3 = 55.

Worked examples

Easy example

For the data 3, 3, 14, 16, 20, find the mean, median, mode and range.

  1. Mean = 56 ÷ 5 = 11.2.
  2. Median = middle value in order = 14.
  3. Mode = most common = 3.
  4. Range = 20 − 3 = 17.
  5. Answer: Mean 11.2, median 14, mode 3, range 17
Medium example

For the data 7, 8, 10, 12, 17, 20, 40, find the mean, median, mode and range.

  1. Mean = 114 ÷ 7 = 16.29.
  2. Median = middle value in order = 12.
  3. Mode = most common = no repeated value.
  4. Range = 40 − 7 = 33.
  5. Answer: Mean 16.29, median 12, mode none, range 33
Hard example

For the data 3, 16, 17, 39, 44, 44, 45, 52, 52, find the mean, median, mode and range.

  1. Mean = 312 ÷ 9 = 34.67.
  2. Median = middle value in order = 44.
  3. Mode = most common = 44 and 52.
  4. Range = 52 − 3 = 49.
  5. Answer: Mean 34.67, median 44, mode 44 and 52, range 49

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.

CBSE CBS-239.1 — Mapped statement covering Working with Introducing Range Common Errors: Visual Models.COLLEGE-BOARD COL-192.2 — Mapped statement covering Working with Introducing Range Common Errors: Visual Models.

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Start with Working with Introducing Range Common Errors: Worked Examples, Working with Introducing Range Common Errors: Step-by-step Method, Rules and Methods in Introducing Range Common Errors. Each one has its own free lesson, worksheet and quiz.
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