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Free Grade 3 Introduction to Introducing Range Common Errors Worksheets

Free Grade 3 worksheets 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

15 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 9, 9, 11, 15, 17, find the mean, median, mode and range.[1]
  2. 2.For the data 1, 3, 7, 10, 14, find the mean, median, mode and range.[1]
  3. 3.For the data 10, 10, 12, 14, 16, find the mean, median, mode and range.[1]
  4. 4.For the data 4, 7, 11, 13, 13, find the mean, median, mode and range.[1]
  5. 5.For the data 9, 13, 17, 18, 20, 21, 40, find the mean, median, mode and range.[2]
  6. 6.For the data 1, 4, 10, 31, 38, 39, 40, find the mean, median, mode and range.[2]
  7. 7.For the data 1, 3, 19, 23, 27, 33, 38, find the mean, median, mode and range.[2]
  8. 8.For the data 3, 9, 29, 32, 35, 35, 37, find the mean, median, mode and range.[2]
  9. 9.For the data 2, 17, 30, 35, 36, 36, 39, 46, 48, find the mean, median, mode and range.[3]
  10. 10.For the data 12, 15, 16, 23, 30, 45, 48, 51, 53, find the mean, median, mode and range.[3]
  11. 11.For the data 2, 5, 12, 14, 28, 34, 43, 45, 49, find the mean, median, mode and range.[3]
  12. 12.For the data 2, 4, 6, 12, 20, 40, 42, 44, 51, find the mean, median, mode and range.[3]
Show answers and working
  1. 1. Mean 12.2, median 11, mode 9, range 8

    Mean = 61 ÷ 5 = 12.2. Median = middle value in order = 11. Mode = most common = 9. Range = 17 − 9 = 8.

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

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

  3. 3. Mean 12.4, median 12, mode 10, range 6

    Mean = 62 ÷ 5 = 12.4. Median = middle value in order = 12. Mode = most common = 10. Range = 16 − 10 = 6.

  4. 4. Mean 9.6, median 11, mode 13, range 9

    Mean = 48 ÷ 5 = 9.6. Median = middle value in order = 11. Mode = most common = 13. Range = 13 − 4 = 9.

  5. 5. Mean 19.71, median 18, mode none, range 31

    Mean = 138 ÷ 7 = 19.71. Median = middle value in order = 18. Mode = most common = no repeated value. Range = 40 − 9 = 31.

  6. 6. Mean 23.29, median 31, mode none, range 39

    Mean = 163 ÷ 7 = 23.29. Median = middle value in order = 31. Mode = most common = no repeated value. Range = 40 − 1 = 39.

  7. 7. Mean 20.57, median 23, mode none, range 37

    Mean = 144 ÷ 7 = 20.57. Median = middle value in order = 23. Mode = most common = no repeated value. Range = 38 − 1 = 37.

  8. 8. Mean 25.71, median 32, mode 35, range 34

    Mean = 180 ÷ 7 = 25.71. Median = middle value in order = 32. Mode = most common = 35. Range = 37 − 3 = 34.

  9. 9. Mean 32.11, median 36, mode 36, range 46

    Mean = 289 ÷ 9 = 32.11. Median = middle value in order = 36. Mode = most common = 36. Range = 48 − 2 = 46.

  10. 10. Mean 32.56, median 30, mode none, range 41

    Mean = 293 ÷ 9 = 32.56. Median = middle value in order = 30. Mode = most common = no repeated value. Range = 53 − 12 = 41.

  11. 11. Mean 25.78, median 28, mode none, range 47

    Mean = 232 ÷ 9 = 25.78. Median = middle value in order = 28. Mode = most common = no repeated value. Range = 49 − 2 = 47.

  12. 12. Mean 24.56, median 20, mode none, range 49

    Mean = 221 ÷ 9 = 24.56. Median = middle value in order = 20. Mode = most common = no repeated value. Range = 51 − 2 = 49.

Worked examples

Easy example

For the data 1, 2, 10, 14, 16, find the mean, median, mode and range.

  1. Mean = 43 ÷ 5 = 8.6.
  2. Median = middle value in order = 10.
  3. Mode = most common = no repeated value.
  4. Range = 16 − 1 = 15.
  5. Answer: Mean 8.6, median 10, mode none, range 15
Medium example

For the data 1, 15, 24, 25, 27, 32, 34, find the mean, median, mode and range.

  1. Mean = 158 ÷ 7 = 22.57.
  2. Median = middle value in order = 25.
  3. Mode = most common = no repeated value.
  4. Range = 34 − 1 = 33.
  5. Answer: Mean 22.57, median 25, mode none, range 33
Hard example

For the data 2, 5, 8, 15, 22, 42, 48, 50, 52, find the mean, median, mode and range.

  1. Mean = 244 ÷ 9 = 27.11.
  2. Median = middle value in order = 22.
  3. Mode = most common = no repeated value.
  4. Range = 52 − 2 = 50.
  5. Answer: Mean 27.11, median 22, mode none, range 50

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

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