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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 583 · 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 mode of 12, 12, 13, 4, 8, 8 and 12? (a) 8 (b) 4 (c) 13 (d) 12
  2. 2.What is the median of 30, 11, 12, 2, 36, 35 and 4? (a) 11 (b) 2 (c) 12 (d) 30
  3. 3.The mean of 7 numbers is 21. When the number 5 is added to them, what is the new mean? (a) 20 (b) 19 (c) 13 (d) 21
  4. 4.The mean of 3 numbers is 26. When the number 30 is added to them, what is the new mean? (a) 28 (b) 27 (c) 26 (d) 29
  5. 5.What is the mean of 12, 14, 16 and 6? (a) 11 (b) 13 (c) 16 (d) 12
  6. 6.What is the median of 5, 30, 13, 2 and 12? (a) 5 (b) 11 (c) 13 (d) 12
  7. 7.What is the mean of 5, 19, 10, 8 and 3? (a) 11 (b) 9 (c) 8 (d) 10
  8. 8.What is the mean of 15, 2, 5, 9 and 9? (a) 9 (b) 8 (c) 10 (d) 7
  9. 9.What is the median of 29, 18, 4, 17, 15, 38 and 36? (a) 19 (b) 17 (c) 18 (d) 29
  10. 10.What is the mean of 12, 8, 10, 19, 6 and 11? (a) 13 (b) 12 (c) 10 (d) 11
  11. 11.The mean of 5 numbers is 18. When the number 30 is added to them, what is the new mean? (a) 21 (b) 20 (c) 24 (d) 18
  12. 12.What is the median of 35, 2, 26, 33, 10, 18 and 28? (a) 28 (b) 18 (c) 26 (d) 33
  13. 13.What is the mode of 5, 13, 3, 3, 5, 7 and 5? (a) 13 (b) 7 (c) 5 (d) 3
  14. 14.What is the mean of 20, 2, 13 and 5? (a) 9 (b) 8 (c) 11 (d) 10
  15. 15.What is the mean of 14, 2, 13 and 11? (a) 8 (b) 11 (c) 10 (d) 9
  16. 16.What is the median of 40, 7, 18, 3 and 38? (a) 18 (b) 7 (c) 38 (d) 19
  17. 17.What is the mean of 20, 20, 10, 6, 4 and 6? (a) 12 (b) 13 (c) 10 (d) 11
  18. 18.What is the mode of 1, 18, 18, 5, 4, 18 and 5? (a) 5 (b) 1 (c) 18 (d) 4
  19. 19.What is the mode of 4, 6, 9, 16, 4, 6 and 6? (a) 4 (b) 6 (c) 16 (d) 9
  20. 20.What is the mode of 7, 20, 19, 7, 20, 7 and 3? (a) 7 (b) 19 (c) 20 (d) 3
  21. 21.What is the mean of 7, 8, 5 and 16? (a) 9 (b) 12 (c) 10 (d) 8
  22. 22.What is the mode of 9, 15, 14, 14, 15, 14 and 8? (a) 14 (b) 15 (c) 8 (d) 9
  23. 23.The mean of 3 numbers is 13. When the number 21 is added to them, what is the new mean? (a) 15 (b) 13 (c) 16 (d) 17
  24. 24.The mean of 8 numbers is 28. When the number 19 is added to them, what is the new mean? (a) 26 (b) 29 (c) 28 (d) 27
  25. 25.The mean of 6 numbers is 31. When the number 38 is added to them, what is the new mean? (a) 31 (b) 34 (c) 33 (d) 32
  26. 26.What is the median of 28, 3, 9, 37 and 18? (a) 28 (b) 19 (c) 9 (d) 18
  27. 27.What is the mode of 13, 1, 1, 9, 9, 9 and 17? (a) 17 (b) 9 (c) 13 (d) 1
  28. 28.The mean of 3 numbers is 18. When the number 30 is added to them, what is the new mean? (a) 21 (b) 22 (c) 18 (d) 24
  29. 29.What is the mode of 15, 17, 2, 15, 17, 20 and 15? (a) 15 (b) 20 (c) 17 (d) 2
  30. 30.What is the mode of 9, 10, 18, 18, 2, 2 and 18? (a) 2 (b) 10 (c) 9 (d) 18
  31. 31.What is the mean of 14, 13, 2, 18 and 23? (a) 14 (b) 16 (c) 13 (d) 15
  32. 32.What is the mean of 6, 11, 14, 13, 18 and 10? (a) 14 (b) 12 (c) 13 (d) 11
  33. 33.The mean of 5 numbers is 19. When the number 7 is added to them, what is the new mean? (a) 13 (b) 17 (c) 18 (d) 19
  34. 34.The mean of 9 numbers is 18. When the number 48 is added to them, what is the new mean? (a) 33 (b) 18 (c) 22 (d) 21
  35. 35.What is the mean of 14, 8, 19, 13 and 16? (a) 13 (b) 15 (c) 16 (d) 14
  36. 36.What is the mean of 2, 17, 3 and 10? (a) 8 (b) 9 (c) 7 (d) 10
  37. 37.The mean of 4 numbers is 22. When the number 27 is added to them, what is the new mean? (a) 24 (b) 25 (c) 23 (d) 22
  38. 38.What is the mean of 4, 6, 20, 19, 12 and 17? (a) 15 (b) 12 (c) 13 (d) 14
  39. 39.What is the median of 10, 34, 1, 17 and 6? (a) 6 (b) 10 (c) 1 (d) 17
  40. 40.What is the median of 7, 3, 13, 18, 34, 4 and 6? (a) 13 (b) 18 (c) 7 (d) 6

Answer key

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

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