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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 383 · 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.The mean of 8 numbers is 12. When the number 3 is added to them, what is the new mean? (a) 13 (b) 11 (c) 12 (d) 10
  2. 2.The mean of 8 numbers is 37. When the number 19 is added to them, what is the new mean? (a) 37 (b) 35 (c) 28 (d) 36
  3. 3.What is the median of 15, 2, 4, 28, 18, 32 and 6? (a) 6 (b) 15 (c) 18 (d) 28
  4. 4.What is the median of 39, 8, 27, 2, 4, 23 and 31? (a) 8 (b) 27 (c) 23 (d) 2
  5. 5.What is the mode of 3, 2, 2, 2, 14, 12 and 3? (a) 14 (b) 12 (c) 3 (d) 2
  6. 6.What is the mean of 10, 12, 5, 3 and 10? (a) 10 (b) 9 (c) 8 (d) 7
  7. 7.What is the mode of 13, 16, 2, 2, 1, 2 and 16? (a) 16 (b) 2 (c) 13 (d) 1
  8. 8.What is the mean of 7, 12, 10 and 7? (a) 12 (b) 8 (c) 10 (d) 9
  9. 9.What is the mean of 20, 16, 16, 13 and 10? (a) 17 (b) 14 (c) 16 (d) 15
  10. 10.What is the mean of 15, 14, 11, 10 and 10? (a) 15 (b) 12 (c) 13 (d) 10
  11. 11.What is the median of 35, 20, 8, 38, 33, 21 and 17? (a) 33 (b) 38 (c) 21 (d) 20
  12. 12.What is the mode of 1, 10, 17, 19, 19, 17 and 19? (a) 10 (b) 17 (c) 1 (d) 19
  13. 13.The mean of 5 numbers is 27. When the number 45 is added to them, what is the new mean? (a) 30 (b) 36 (c) 27 (d) 31
  14. 14.The mean of 3 numbers is 18. When the number 6 is added to them, what is the new mean? (a) 18 (b) 12 (c) 16 (d) 15
  15. 15.The mean of 4 numbers is 19. When the number 9 is added to them, what is the new mean? (a) 19 (b) 17 (c) 18 (d) 14
  16. 16.The mean of 4 numbers is 15. When the number 30 is added to them, what is the new mean? (a) 17 (b) 15 (c) 19 (d) 18
  17. 17.What is the mode of 8, 13, 13, 18, 8, 7 and 13? (a) 7 (b) 8 (c) 18 (d) 13
  18. 18.What is the mean of 3, 11, 8 and 14? (a) 12 (b) 10 (c) 8 (d) 9
  19. 19.The mean of 9 numbers is 25. When the number 15 is added to them, what is the new mean? (a) 20 (b) 23 (c) 25 (d) 24
  20. 20.What is the mean of 8, 5, 4 and 19? (a) 8 (b) 10 (c) 9 (d) 12
  21. 21.What is the median of 18, 36, 3, 13, 15, 7 and 38? (a) 15 (b) 16 (c) 18 (d) 13
  22. 22.What is the mean of 16, 17, 4, 7 and 21? (a) 12 (b) 13 (c) 15 (d) 14
  23. 23.What is the mode of 8, 17, 8, 17, 19, 17 and 6? (a) 8 (b) 19 (c) 6 (d) 17
  24. 24.What is the median of 26, 37, 28, 11 and 6? (a) 27 (b) 26 (c) 11 (d) 28
  25. 25.What is the mode of 6, 19, 20, 18, 19, 20 and 19? (a) 20 (b) 18 (c) 19 (d) 6
  26. 26.What is the mode of 20, 17, 3, 20, 5, 20 and 3? (a) 17 (b) 5 (c) 20 (d) 3
  27. 27.What is the median of 30, 33, 2, 35, 36, 12 and 14? (a) 35 (b) 33 (c) 14 (d) 30
  28. 28.What is the mean of 15, 2, 11, 7 and 20? (a) 12 (b) 13 (c) 11 (d) 10
  29. 29.What is the mode of 2, 1, 2, 5, 1, 1 and 4? (a) 4 (b) 1 (c) 5 (d) 2
  30. 30.What is the mean of 3, 7, 2 and 16? (a) 6 (b) 8 (c) 9 (d) 7
  31. 31.What is the median of 1, 38, 5, 18, 2, 4 and 27? (a) 4 (b) 18 (c) 6 (d) 5
  32. 32.What is the mean of 16, 11, 10, 2, 6 and 9? (a) 8 (b) 10 (c) 9 (d) 11
  33. 33.The mean of 5 numbers is 30. When the number 24 is added to them, what is the new mean? (a) 27 (b) 28 (c) 29 (d) 30
  34. 34.What is the mean of 6, 15, 12, 2, 18 and 25? (a) 14 (b) 13 (c) 12 (d) 15
  35. 35.What is the mode of 17, 17, 10, 8, 17, 19 and 19? (a) 19 (b) 17 (c) 8 (d) 10
  36. 36.What is the mode of 18, 6, 6, 9, 6, 18 and 7? (a) 7 (b) 6 (c) 9 (d) 18
  37. 37.The mean of 8 numbers is 35. When the number 26 is added to them, what is the new mean? (a) 33 (b) 34 (c) 36 (d) 35
  38. 38.What is the median of 21, 6, 25, 9 and 12? (a) 9 (b) 21 (c) 12 (d) 25
  39. 39.What is the mode of 16, 16, 4, 4, 18, 4 and 15? (a) 18 (b) 15 (c) 16 (d) 4
  40. 40.What is the mode of 5, 5, 4, 4, 5, 6 and 14? (a) 4 (b) 5 (c) 6 (d) 14

Answer key

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

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