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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 345 · 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 18, 9, 4, 2 and 7? (a) 7 (b) 10 (c) 9 (d) 8
  2. 2.What is the median of 37, 15, 22, 27, 20, 1 and 36? (a) 20 (b) 22 (c) 27 (d) 23
  3. 3.The mean of 5 numbers is 32. When the number 8 is added to them, what is the new mean? (a) 20 (b) 32 (c) 29 (d) 28
  4. 4.What is the mode of 5, 13, 4, 4, 5, 4 and 6? (a) 5 (b) 6 (c) 4 (d) 13
  5. 5.The mean of 7 numbers is 12. When the number 28 is added to them, what is the new mean? (a) 15 (b) 20 (c) 14 (d) 12
  6. 6.What is the mean of 12, 10, 17, 5 and 16? (a) 12 (b) 15 (c) 10 (d) 13
  7. 7.What is the mode of 19, 5, 16, 16, 16, 6 and 19? (a) 16 (b) 6 (c) 5 (d) 19
  8. 8.What is the mode of 1, 8, 8, 20, 1, 1 and 10? (a) 1 (b) 20 (c) 8 (d) 10
  9. 9.What is the mode of 13, 13, 1, 18, 5, 5 and 5? (a) 13 (b) 1 (c) 18 (d) 5
  10. 10.What is the median of 9, 12, 22, 40 and 25? (a) 12 (b) 23 (c) 22 (d) 25
  11. 11.What is the mode of 15, 9, 9, 9, 15, 2 and 17? (a) 2 (b) 17 (c) 9 (d) 15
  12. 12.What is the median of 8, 35, 17, 36, 34, 21 and 15? (a) 34 (b) 21 (c) 36 (d) 17
  13. 13.What is the median of 4, 3, 25, 23 and 15? (a) 14 (b) 23 (c) 15 (d) 25
  14. 14.What is the mode of 12, 4, 12, 18, 8, 8 and 8? (a) 18 (b) 8 (c) 12 (d) 4
  15. 15.What is the median of 12, 28, 25, 15, 7, 30 and 6? (a) 12 (b) 15 (c) 16 (d) 25
  16. 16.What is the mean of 3, 18, 15, 14 and 20? (a) 14 (b) 13 (c) 16 (d) 15
  17. 17.What is the mode of 15, 5, 10, 5, 8, 15 and 15? (a) 5 (b) 8 (c) 10 (d) 15
  18. 18.What is the mean of 10, 9, 17, 11, 2 and 17? (a) 11 (b) 13 (c) 10 (d) 12
  19. 19.What is the median of 13, 29, 8, 31, 32, 40 and 18? (a) 18 (b) 30 (c) 31 (d) 29
  20. 20.What is the mode of 3, 3, 12, 3, 18, 2 and 12? (a) 12 (b) 3 (c) 18 (d) 2
  21. 21.What is the mode of 9, 4, 9, 17, 19, 19 and 19? (a) 9 (b) 19 (c) 17 (d) 4
  22. 22.What is the mode of 15, 15, 17, 1, 15, 10 and 17? (a) 15 (b) 10 (c) 17 (d) 1
  23. 23.What is the mean of 8, 16, 19, 6, 19 and 10? (a) 12 (b) 13 (c) 15 (d) 14
  24. 24.The mean of 9 numbers is 39. When the number 79 is added to them, what is the new mean? (a) 59 (b) 39 (c) 44 (d) 43
  25. 25.What is the mode of 16, 16, 12, 12, 16, 9 and 1? (a) 16 (b) 12 (c) 1 (d) 9
  26. 26.What is the mean of 3, 4, 17, 11, 5 and 20? (a) 10 (b) 9 (c) 11 (d) 12
  27. 27.What is the mean of 5, 10, 12 and 13? (a) 8 (b) 10 (c) 9 (d) 11
  28. 28.What is the mode of 17, 17, 19, 19, 19, 11 and 10? (a) 10 (b) 11 (c) 17 (d) 19
  29. 29.What is the mean of 20, 9, 8, 16 and 7? (a) 13 (b) 12 (c) 10 (d) 15
  30. 30.The mean of 6 numbers is 11. When the number 4 is added to them, what is the new mean? (a) 12 (b) 9 (c) 11 (d) 10
  31. 31.What is the median of 29, 22, 21, 35, 27, 19 and 13? (a) 22 (b) 27 (c) 21 (d) 35
  32. 32.What is the median of 12, 33, 8, 7 and 14? (a) 8 (b) 14 (c) 13 (d) 12
  33. 33.The mean of 4 numbers is 26. When the number 21 is added to them, what is the new mean? (a) 24 (b) 26 (c) 25 (d) 27
  34. 34.What is the mean of 6, 7, 18, 13 and 16? (a) 13 (b) 15 (c) 12 (d) 10
  35. 35.The mean of 6 numbers is 26. When the number 33 is added to them, what is the new mean? (a) 26 (b) 29 (c) 28 (d) 27
  36. 36.What is the mean of 17, 9, 4 and 6? (a) 10 (b) 12 (c) 8 (d) 9
  37. 37.What is the median of 1, 9, 14, 38, 32, 19 and 17? (a) 38 (b) 19 (c) 14 (d) 17
  38. 38.What is the mode of 4, 17, 19, 4, 6, 4 and 17? (a) 6 (b) 4 (c) 19 (d) 17
  39. 39.What is the mode of 12, 4, 4, 1, 17, 17 and 4? (a) 17 (b) 1 (c) 4 (d) 12
  40. 40.What is the mean of 11, 10, 4, 17, 20 and 16? (a) 13 (b) 14 (c) 12 (d) 15

Answer key

  1. 8
  2. 22
  3. 28
  4. 4
  5. 14
  6. 12
  7. 16
  8. 1
  9. 5
  10. 22
  11. 9
  12. 21
  13. 15
  14. 8
  15. 15
  16. 14
  17. 15
  18. 11
  19. 29
  20. 3
  21. 19
  22. 15
  23. 13
  24. 43
  25. 16
  26. 10
  27. 10
  28. 19
  29. 12
  30. 10
  31. 22
  32. 12
  33. 25
  34. 12
  35. 27
  36. 9
  37. 17
  38. 4
  39. 4
  40. 13

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