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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 55 · 40 questions
TalentJR

How to solve it (Work with totals): Mean = total ÷ how many; so total = mean × how many. Median: put the numbers in order and take the middle one. Mode: the number that appears most often. A number added: new mean = (old total + the number) ÷ (how many + 1).

NameDateTime takenScore ___ / 40
  1. 1.What is the mean of 13, 12, 16 and 11? (a) 14 (b) 15 (c) 13 (d) 12
  2. 2.What is the mean of 10, 2, 16, 8 and 4? (a) 7 (b) 8 (c) 9 (d) 10
  3. 3.The mean of 4 numbers is 37. When the number 22 is added to them, what is the new mean? (a) 37 (b) 35 (c) 34 (d) 33
  4. 4.What is the median of 9, 2, 1, 27 and 22? (a) 9 (b) 22 (c) 2 (d) 1
  5. 5.What is the mode of 13, 15, 11, 15, 3, 3 and 15? (a) 3 (b) 13 (c) 11 (d) 15
  6. 6.What is the mean of 16, 6, 7 and 19? (a) 12 (b) 11 (c) 16 (d) 13
  7. 7.What is the median of 18, 29, 16, 19, 13, 15 and 24? (a) 16 (b) 18 (c) 17 (d) 19
  8. 8.What is the mean of 13, 15, 4, 2, 10 and 4? (a) 10 (b) 7 (c) 9 (d) 8
  9. 9.What is the mode of 4, 6, 3, 6, 18, 18 and 18? (a) 4 (b) 6 (c) 3 (d) 18
  10. 10.The mean of 9 numbers is 30. When the number 40 is added to them, what is the new mean? (a) 31 (b) 35 (c) 30 (d) 32
  11. 11.What is the mean of 20, 12, 8, 18, 18 and 14? (a) 18 (b) 16 (c) 15 (d) 14
  12. 12.What is the mode of 14, 8, 8, 15, 17, 14 and 8? (a) 8 (b) 17 (c) 15 (d) 14
  13. 13.What is the mean of 12, 17, 10 and 9? (a) 12 (b) 13 (c) 16 (d) 11
  14. 14.What is the mode of 8, 16, 6, 16, 1, 16 and 1? (a) 16 (b) 8 (c) 6 (d) 1
  15. 15.What is the median of 32, 1, 28, 22 and 14? (a) 23 (b) 28 (c) 14 (d) 22
  16. 16.What is the mean of 12, 17, 3 and 8? (a) 11 (b) 10 (c) 9 (d) 8
  17. 17.The mean of 5 numbers is 17. When the number 35 is added to them, what is the new mean? (a) 20 (b) 21 (c) 17 (d) 26
  18. 18.The mean of 9 numbers is 26. When the number 16 is added to them, what is the new mean? (a) 21 (b) 26 (c) 25 (d) 24
  19. 19.What is the mode of 6, 1, 14, 18, 14, 14 and 1? (a) 18 (b) 1 (c) 6 (d) 14
  20. 20.The mean of 6 numbers is 16. When the number 30 is added to them, what is the new mean? (a) 18 (b) 23 (c) 16 (d) 19
  21. 21.What is the median of 28, 3, 32, 6 and 15? (a) 28 (b) 32 (c) 15 (d) 6
  22. 22.What is the mean of 5, 12, 7 and 12? (a) 9 (b) 10 (c) 12 (d) 8
  23. 23.What is the median of 28, 37, 17, 14 and 34? (a) 26 (b) 17 (c) 28 (d) 34
  24. 24.The mean of 4 numbers is 39. When the number 19 is added to them, what is the new mean? (a) 39 (b) 29 (c) 35 (d) 36
  25. 25.What is the median of 22, 40, 29, 10, 13, 30 and 12? (a) 10 (b) 22 (c) 13 (d) 29
  26. 26.What is the median of 34, 27, 17, 16 and 4? (a) 17 (b) 18 (c) 16 (d) 27
  27. 27.What is the median of 38, 11, 14, 8, 2, 16 and 32? (a) 16 (b) 8 (c) 14 (d) 11
  28. 28.What is the mean of 19, 20, 17, 12, 11 and 5? (a) 14 (b) 12 (c) 13 (d) 15
  29. 29.What is the mode of 15, 12, 10, 10, 10, 6 and 15? (a) 10 (b) 15 (c) 12 (d) 6
  30. 30.What is the mean of 13, 18, 13, 19 and 2? (a) 13 (b) 15 (c) 14 (d) 12
  31. 31.What is the mode of 12, 14, 12, 14, 1, 16 and 14? (a) 1 (b) 14 (c) 16 (d) 12
  32. 32.What is the mode of 6, 15, 15, 6, 2, 15 and 3? (a) 3 (b) 15 (c) 2 (d) 6
  33. 33.The mean of 4 numbers is 14. When the number 34 is added to them, what is the new mean? (a) 18 (b) 19 (c) 14 (d) 24
  34. 34.What is the median of 1, 12, 3, 27, 37, 10 and 28? (a) 13 (b) 10 (c) 12 (d) 27
  35. 35.The mean of 6 numbers is 22. When the number 15 is added to them, what is the new mean? (a) 22 (b) 21 (c) 20 (d) 23
  36. 36.What is the mode of 12, 14, 5, 12, 14, 8 and 12? (a) 14 (b) 8 (c) 5 (d) 12
  37. 37.What is the mean of 12, 12, 13, 5 and 18? (a) 10 (b) 15 (c) 12 (d) 13
  38. 38.What is the mean of 14, 8, 6, 19, 20 and 5? (a) 14 (b) 11 (c) 13 (d) 12
  39. 39.What is the mode of 14, 7, 2, 14, 2, 12 and 14? (a) 7 (b) 2 (c) 12 (d) 14
  40. 40.What is the median of 40, 11, 24, 19 and 23? (a) 22 (b) 24 (c) 19 (d) 23

Answer key

  1. 13
  2. 8
  3. 34
  4. 9
  5. 15
  6. 12
  7. 18
  8. 8
  9. 18
  10. 31
  11. 15
  12. 8
  13. 12
  14. 16
  15. 22
  16. 10
  17. 20
  18. 25
  19. 14
  20. 18
  21. 15
  22. 9
  23. 28
  24. 35
  25. 22
  26. 17
  27. 14
  28. 14
  29. 10
  30. 13
  31. 14
  32. 15
  33. 18
  34. 12
  35. 21
  36. 12
  37. 12
  38. 12
  39. 14
  40. 23

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