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Free Grade 3 What is Working with Introducing Range Common Errors Quizzes

Free Grade 3 quizzes for What is Working with 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

Stretch

Estimated time

30 min

Total marks

24

Learning objectives

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

  • RememberIdentify what is working with introducing range common errors

    Identify what is working with introducing range common errors accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • UnderstandExplain what is working with introducing range common errors

    Explain what is working with introducing range common errors accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • ApplyCalculate what is working with introducing range common errors

    Calculate what is working with introducing range common errors accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • AnalyseCompare what is working with introducing range common errors

    Compare what is working with 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 What is Working with 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 6, 6, 7, 8, 12, find the mean, median, mode and range.[1]
  2. 2.For the data 3, 3, 8, 14, 17, find the mean, median, mode and range.[1]
  3. 3.For the data 1, 8, 11, 16, 20, find the mean, median, mode and range.[1]
  4. 4.For the data 2, 5, 10, 11, 15, find the mean, median, mode and range.[1]
  5. 5.For the data 2, 10, 10, 12, 21, 40, 40, find the mean, median, mode and range.[2]
  6. 6.For the data 2, 7, 13, 19, 39, 40, 40, find the mean, median, mode and range.[2]
  7. 7.For the data 3, 19, 28, 28, 28, 29, 31, find the mean, median, mode and range.[2]
  8. 8.For the data 5, 7, 23, 24, 31, 32, 32, find the mean, median, mode and range.[2]
  9. 9.For the data 2, 7, 11, 18, 30, 36, 44, 48, 51, find the mean, median, mode and range.[3]
  10. 10.For the data 1, 9, 12, 29, 30, 33, 39, 39, 45, find the mean, median, mode and range.[3]
  11. 11.For the data 4, 11, 12, 19, 28, 31, 39, 47, 58, find the mean, median, mode and range.[3]
  12. 12.For the data 10, 15, 21, 24, 26, 27, 44, 50, 60, find the mean, median, mode and range.[3]
Show answers and working
  1. 1. Mean 7.8, median 7, mode 6, range 6

    Mean = 39 ÷ 5 = 7.8. Median = middle value in order = 7. Mode = most common = 6. Range = 12 − 6 = 6.

  2. 2. Mean 9, median 8, mode 3, range 14

    Mean = 45 ÷ 5 = 9. Median = middle value in order = 8. Mode = most common = 3. Range = 17 − 3 = 14.

  3. 3. Mean 11.2, median 11, mode none, range 19

    Mean = 56 ÷ 5 = 11.2. Median = middle value in order = 11. Mode = most common = no repeated value. Range = 20 − 1 = 19.

  4. 4. Mean 8.6, median 10, mode none, range 13

    Mean = 43 ÷ 5 = 8.6. Median = middle value in order = 10. Mode = most common = no repeated value. Range = 15 − 2 = 13.

  5. 5. Mean 19.29, median 12, mode 10 and 40, range 38

    Mean = 135 ÷ 7 = 19.29. Median = middle value in order = 12. Mode = most common = 10 and 40. Range = 40 − 2 = 38.

  6. 6. Mean 22.86, median 19, mode 40, range 38

    Mean = 160 ÷ 7 = 22.86. Median = middle value in order = 19. Mode = most common = 40. Range = 40 − 2 = 38.

  7. 7. Mean 23.71, median 28, mode 28, range 28

    Mean = 166 ÷ 7 = 23.71. Median = middle value in order = 28. Mode = most common = 28. Range = 31 − 3 = 28.

  8. 8. Mean 22, median 24, mode 32, range 27

    Mean = 154 ÷ 7 = 22. Median = middle value in order = 24. Mode = most common = 32. Range = 32 − 5 = 27.

  9. 9. Mean 27.44, median 30, mode none, range 49

    Mean = 247 ÷ 9 = 27.44. Median = middle value in order = 30. Mode = most common = no repeated value. Range = 51 − 2 = 49.

  10. 10. Mean 26.33, median 30, mode 39, range 44

    Mean = 237 ÷ 9 = 26.33. Median = middle value in order = 30. Mode = most common = 39. Range = 45 − 1 = 44.

  11. 11. Mean 27.67, median 28, mode none, range 54

    Mean = 249 ÷ 9 = 27.67. Median = middle value in order = 28. Mode = most common = no repeated value. Range = 58 − 4 = 54.

  12. 12. Mean 30.78, median 26, mode none, range 50

    Mean = 277 ÷ 9 = 30.78. Median = middle value in order = 26. Mode = most common = no repeated value. Range = 60 − 10 = 50.

Worked examples

Easy example

For the data 2, 3, 7, 10, 16, find the mean, median, mode and range.

  1. Mean = 38 ÷ 5 = 7.6.
  2. Median = middle value in order = 7.
  3. Mode = most common = no repeated value.
  4. Range = 16 − 2 = 14.
  5. Answer: Mean 7.6, median 7, mode none, range 14
Medium example

For the data 17, 21, 26, 27, 31, 38, 38, find the mean, median, mode and range.

  1. Mean = 198 ÷ 7 = 28.29.
  2. Median = middle value in order = 27.
  3. Mode = most common = 38.
  4. Range = 38 − 17 = 21.
  5. Answer: Mean 28.29, median 27, mode 38, range 21
Hard example

For the data 2, 5, 15, 18, 22, 31, 32, 44, 60, find the mean, median, mode and range.

  1. Mean = 229 ÷ 9 = 25.44.
  2. Median = middle value in order = 22.
  3. Mode = most common = no repeated value.
  4. Range = 60 − 2 = 58.
  5. Answer: Mean 25.44, median 22, 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-450.1 — Mapped statement covering What is Working with Introducing Range Common Errors.NATIONAL-CURRICULUM NAT-414.2 — Mapped statement covering What is Working with Introducing Range Common Errors.

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