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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 215 · 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 16, 2, 19 and 7? (a) 11 (b) 10 (c) 12 (d) 13
  2. 2.What is the median of 11, 36, 19, 10, 2, 30 and 12? (a) 10 (b) 19 (c) 11 (d) 12
  3. 3.What is the mode of 9, 17, 9, 12, 11, 17 and 9? (a) 11 (b) 12 (c) 9 (d) 17
  4. 4.What is the mode of 19, 15, 16, 17, 16, 19 and 16? (a) 16 (b) 19 (c) 15 (d) 17
  5. 5.The mean of 3 numbers is 29. When the number 45 is added to them, what is the new mean? (a) 33 (b) 34 (c) 29 (d) 37
  6. 6.What is the median of 15, 32, 12, 31 and 40? (a) 26 (b) 12 (c) 31 (d) 32
  7. 7.What is the mode of 18, 5, 5, 20, 18, 5 and 2? (a) 2 (b) 18 (c) 20 (d) 5
  8. 8.What is the median of 2, 13, 29, 12 and 28? (a) 29 (b) 28 (c) 13 (d) 12
  9. 9.What is the mode of 17, 17, 5, 6, 6, 19 and 17? (a) 6 (b) 19 (c) 5 (d) 17
  10. 10.The mean of 3 numbers is 14. When the number 18 is added to them, what is the new mean? (a) 17 (b) 14 (c) 16 (d) 15
  11. 11.What is the median of 26, 9, 1, 18 and 19? (a) 19 (b) 18 (c) 9 (d) 1
  12. 12.What is the mode of 8, 2, 6, 2, 2, 5 and 6? (a) 5 (b) 8 (c) 2 (d) 6
  13. 13.What is the median of 40, 8, 13, 19 and 4? (a) 19 (b) 14 (c) 13 (d) 8
  14. 14.What is the median of 13, 15, 22, 6, 32, 16 and 23? (a) 6 (b) 22 (c) 16 (d) 15
  15. 15.What is the median of 28, 8, 24, 21, 36, 34 and 31? (a) 21 (b) 26 (c) 31 (d) 28
  16. 16.What is the mode of 12, 1, 6, 19, 1, 1 and 6? (a) 12 (b) 6 (c) 1 (d) 19
  17. 17.What is the mean of 12, 16, 9 and 19? (a) 15 (b) 13 (c) 14 (d) 16
  18. 18.The mean of 3 numbers is 20. When the number 4 is added to them, what is the new mean? (a) 17 (b) 16 (c) 12 (d) 20
  19. 19.The mean of 5 numbers is 31. When the number 25 is added to them, what is the new mean? (a) 31 (b) 30 (c) 28 (d) 29
  20. 20.The mean of 4 numbers is 33. When the number 48 is added to them, what is the new mean? (a) 35 (b) 37 (c) 33 (d) 36
  21. 21.What is the median of 32, 6, 14, 13 and 30? (a) 13 (b) 19 (c) 14 (d) 30
  22. 22.What is the mean of 9, 18, 7 and 6? (a) 8 (b) 9 (c) 10 (d) 11
  23. 23.What is the median of 11, 37, 8, 4, 23, 2 and 26? (a) 8 (b) 11 (c) 4 (d) 23
  24. 24.What is the mode of 9, 16, 9, 6, 3, 9 and 3? (a) 6 (b) 16 (c) 3 (d) 9
  25. 25.What is the mode of 11, 3, 20, 20, 8, 3 and 3? (a) 11 (b) 3 (c) 8 (d) 20
  26. 26.What is the mode of 19, 17, 17, 15, 9, 17 and 19? (a) 15 (b) 19 (c) 9 (d) 17
  27. 27.What is the mean of 7, 3, 18 and 8? (a) 12 (b) 10 (c) 9 (d) 8
  28. 28.What is the mode of 13, 6, 11, 13, 13, 20 and 11? (a) 13 (b) 6 (c) 11 (d) 20
  29. 29.What is the median of 35, 12, 16, 20, 22, 36 and 4? (a) 22 (b) 21 (c) 16 (d) 20
  30. 30.What is the mean of 18, 18, 19, 9, 6 and 20? (a) 15 (b) 14 (c) 16 (d) 18
  31. 31.What is the mean of 6, 13, 3, 18 and 20? (a) 13 (b) 10 (c) 12 (d) 15
  32. 32.What is the mean of 4, 14, 18 and 8? (a) 12 (b) 13 (c) 10 (d) 11
  33. 33.What is the mean of 20, 13, 12, 4, 4 and 13? (a) 11 (b) 12 (c) 13 (d) 10
  34. 34.What is the mean of 10, 8, 11, 8, 10 and 19? (a) 13 (b) 12 (c) 11 (d) 10
  35. 35.What is the mode of 6, 16, 3, 4, 4, 6 and 6? (a) 16 (b) 4 (c) 3 (d) 6
  36. 36.What is the mode of 20, 7, 19, 7, 10, 10 and 10? (a) 19 (b) 20 (c) 7 (d) 10
  37. 37.What is the mean of 5, 7, 10 and 6? (a) 6 (b) 8 (c) 9 (d) 7
  38. 38.What is the mode of 11, 7, 3, 10, 7, 11 and 11? (a) 7 (b) 3 (c) 10 (d) 11
  39. 39.What is the median of 2, 5, 20, 28, 38, 15 and 36? (a) 20 (b) 15 (c) 28 (d) 21
  40. 40.What is the mode of 3, 11, 3, 4, 19, 19 and 19? (a) 11 (b) 4 (c) 19 (d) 3

Answer key

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

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