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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 540 · 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 7, 6, 14 and 5? (a) 9 (b) 7 (c) 10 (d) 8
  2. 2.What is the median of 28, 17, 24, 9 and 26? (a) 24 (b) 17 (c) 26 (d) 25
  3. 3.What is the median of 32, 20, 2, 12, 31, 10 and 6? (a) 10 (b) 12 (c) 20 (d) 13
  4. 4.The mean of 8 numbers is 27. When the number 18 is added to them, what is the new mean? (a) 26 (b) 28 (c) 27 (d) 25
  5. 5.What is the mode of 3, 12, 12, 4, 2, 3 and 12? (a) 12 (b) 2 (c) 4 (d) 3
  6. 6.What is the mode of 9, 4, 17, 17, 9, 10 and 17? (a) 17 (b) 9 (c) 4 (d) 10
  7. 7.What is the mean of 11, 16, 19, 12, 10 and 22? (a) 15 (b) 16 (c) 18 (d) 14
  8. 8.The mean of 9 numbers is 23. When the number 13 is added to them, what is the new mean? (a) 22 (b) 23 (c) 18 (d) 21
  9. 9.What is the mode of 1, 13, 3, 1, 1, 6 and 3? (a) 1 (b) 3 (c) 13 (d) 6
  10. 10.The mean of 8 numbers is 31. When the number 58 is added to them, what is the new mean? (a) 33 (b) 34 (c) 35 (d) 31
  11. 11.What is the median of 21, 28, 38, 39 and 19? (a) 21 (b) 38 (c) 28 (d) 29
  12. 12.The mean of 5 numbers is 32. When the number 20 is added to them, what is the new mean? (a) 31 (b) 26 (c) 30 (d) 32
  13. 13.What is the median of 12, 16, 26, 38, 5, 20 and 28? (a) 26 (b) 16 (c) 20 (d) 38
  14. 14.What is the mode of 4, 19, 4, 4, 5, 5 and 14? (a) 19 (b) 14 (c) 4 (d) 5
  15. 15.What is the median of 17, 14, 9, 4 and 7? (a) 14 (b) 9 (c) 7 (d) 10
  16. 16.The mean of 7 numbers is 21. When the number 45 is added to them, what is the new mean? (a) 33 (b) 21 (c) 24 (d) 25
  17. 17.What is the mean of 15, 11, 14 and 12? (a) 12 (b) 14 (c) 13 (d) 15
  18. 18.What is the mean of 16, 12, 5, 2 and 10? (a) 10 (b) 9 (c) 11 (d) 8
  19. 19.What is the median of 16, 29, 40, 20, 15, 11 and 13? (a) 20 (b) 15 (c) 17 (d) 16
  20. 20.What is the median of 3, 23, 33, 11 and 28? (a) 33 (b) 11 (c) 28 (d) 23
  21. 21.The mean of 3 numbers is 16. When the number 12 is added to them, what is the new mean? (a) 15 (b) 14 (c) 17 (d) 16
  22. 22.What is the median of 1, 9, 33, 7, 5, 30 and 25? (a) 9 (b) 25 (c) 7 (d) 10
  23. 23.The mean of 9 numbers is 26. When the number 66 is added to them, what is the new mean? (a) 30 (b) 26 (c) 31 (d) 46
  24. 24.What is the mode of 16, 8, 7, 13, 16, 8 and 16? (a) 8 (b) 16 (c) 13 (d) 7
  25. 25.What is the mode of 14, 19, 5, 19, 19, 14 and 7? (a) 5 (b) 7 (c) 19 (d) 14
  26. 26.The mean of 3 numbers is 37. When the number 49 is added to them, what is the new mean? (a) 41 (b) 37 (c) 43 (d) 40
  27. 27.What is the mean of 13, 16, 18 and 9? (a) 13 (b) 15 (c) 14 (d) 16
  28. 28.What is the mode of 6, 3, 12, 6, 1, 3 and 3? (a) 3 (b) 1 (c) 6 (d) 12
  29. 29.What is the mode of 14, 14, 20, 14, 9, 15 and 15? (a) 20 (b) 9 (c) 14 (d) 15
  30. 30.The mean of 5 numbers is 37. When the number 19 is added to them, what is the new mean? (a) 35 (b) 28 (c) 37 (d) 34
  31. 31.What is the mean of 15, 7, 3, 16 and 4? (a) 9 (b) 10 (c) 8 (d) 11
  32. 32.What is the mode of 11, 4, 6, 6, 11, 6 and 7? (a) 4 (b) 11 (c) 6 (d) 7
  33. 33.What is the mode of 12, 12, 7, 3, 16, 16 and 12? (a) 16 (b) 3 (c) 7 (d) 12
  34. 34.What is the median of 5, 4, 19, 21, 12, 33 and 38? (a) 12 (b) 20 (c) 21 (d) 19
  35. 35.The mean of 4 numbers is 22. When the number 17 is added to them, what is the new mean? (a) 22 (b) 21 (c) 20 (d) 23
  36. 36.What is the mean of 2, 8, 8, 14 and 8? (a) 7 (b) 10 (c) 8 (d) 9
  37. 37.What is the mode of 13, 15, 20, 8, 20, 20 and 15? (a) 8 (b) 15 (c) 20 (d) 13
  38. 38.What is the mean of 16, 5, 9, 4, 16 and 22? (a) 14 (b) 13 (c) 11 (d) 12
  39. 39.What is the median of 30, 20, 37, 38 and 12? (a) 37 (b) 31 (c) 30 (d) 20
  40. 40.The mean of 5 numbers is 40. When the number 46 is added to them, what is the new mean? (a) 42 (b) 41 (c) 43 (d) 40

Answer key

  1. 8
  2. 24
  3. 12
  4. 26
  5. 12
  6. 17
  7. 15
  8. 22
  9. 1
  10. 34
  11. 28
  12. 30
  13. 20
  14. 4
  15. 9
  16. 24
  17. 13
  18. 9
  19. 16
  20. 23
  21. 15
  22. 9
  23. 30
  24. 16
  25. 19
  26. 40
  27. 14
  28. 3
  29. 14
  30. 34
  31. 9
  32. 6
  33. 12
  34. 19
  35. 21
  36. 8
  37. 20
  38. 12
  39. 30
  40. 41

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