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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 734 · 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, 4, 12, 19, 12, 19 and 1? (a) 1 (b) 19 (c) 4 (d) 12
  2. 2.What is the mode of 4, 5, 13, 4, 11, 13 and 4? (a) 5 (b) 11 (c) 4 (d) 13
  3. 3.What is the mode of 6, 6, 1, 7, 6, 1 and 12? (a) 1 (b) 7 (c) 6 (d) 12
  4. 4.What is the median of 10, 38, 37, 20, 6, 1 and 2? (a) 11 (b) 10 (c) 20 (d) 6
  5. 5.What is the mode of 18, 15, 18, 17, 15, 13 and 15? (a) 15 (b) 17 (c) 13 (d) 18
  6. 6.What is the mean of 6, 4, 13, 8 and 14? (a) 10 (b) 9 (c) 11 (d) 8
  7. 7.What is the mode of 12, 1, 9, 6, 12, 1 and 1? (a) 12 (b) 9 (c) 1 (d) 6
  8. 8.What is the mean of 15, 3, 11 and 3? (a) 10 (b) 7 (c) 9 (d) 8
  9. 9.What is the mode of 16, 1, 16, 4, 1, 1 and 13? (a) 1 (b) 16 (c) 4 (d) 13
  10. 10.What is the median of 22, 34, 3, 6, 19, 10 and 39? (a) 6 (b) 10 (c) 19 (d) 22
  11. 11.What is the median of 18, 40, 31, 16 and 4? (a) 16 (b) 18 (c) 31 (d) 19
  12. 12.The mean of 4 numbers is 16. When the number 11 is added to them, what is the new mean? (a) 17 (b) 14 (c) 16 (d) 15
  13. 13.What is the mode of 15, 18, 11, 16, 15, 11 and 11? (a) 15 (b) 11 (c) 18 (d) 16
  14. 14.What is the median of 6, 4, 5, 9 and 34? (a) 7 (b) 5 (c) 6 (d) 9
  15. 15.The mean of 7 numbers is 17. When the number 9 is added to them, what is the new mean? (a) 17 (b) 13 (c) 15 (d) 16
  16. 16.What is the median of 25, 28, 10, 19, 7, 5 and 32? (a) 25 (b) 18 (c) 19 (d) 10
  17. 17.What is the median of 37, 3, 32, 22 and 15? (a) 15 (b) 23 (c) 32 (d) 22
  18. 18.What is the mean of 8, 7, 2 and 19? (a) 8 (b) 9 (c) 10 (d) 12
  19. 19.What is the mode of 6, 7, 2, 7, 18, 7 and 18? (a) 2 (b) 18 (c) 7 (d) 6
  20. 20.What is the mean of 12, 6, 13, 20 and 14? (a) 12 (b) 13 (c) 15 (d) 14
  21. 21.What is the mean of 14, 3, 3, 9, 4 and 3? (a) 7 (b) 6 (c) 5 (d) 8
  22. 22.The mean of 4 numbers is 26. When the number 6 is added to them, what is the new mean? (a) 26 (b) 23 (c) 22 (d) 16
  23. 23.What is the mean of 3, 10, 9 and 10? (a) 10 (b) 8 (c) 7 (d) 9
  24. 24.What is the mode of 12, 14, 1, 14, 1, 1 and 10? (a) 14 (b) 12 (c) 10 (d) 1
  25. 25.What is the mode of 18, 20, 3, 3, 18, 18 and 13? (a) 20 (b) 3 (c) 18 (d) 13
  26. 26.What is the mode of 10, 17, 4, 19, 4, 17 and 17? (a) 17 (b) 10 (c) 19 (d) 4
  27. 27.What is the mode of 14, 16, 7, 16, 20, 7 and 7? (a) 7 (b) 14 (c) 16 (d) 20
  28. 28.What is the mode of 10, 5, 10, 18, 10, 20 and 5? (a) 5 (b) 20 (c) 18 (d) 10
  29. 29.The mean of 4 numbers is 21. When the number 11 is added to them, what is the new mean? (a) 20 (b) 16 (c) 19 (d) 21
  30. 30.What is the mode of 1, 3, 14, 3, 6, 6 and 6? (a) 1 (b) 3 (c) 14 (d) 6
  31. 31.What is the median of 16, 37, 33, 26 and 11? (a) 33 (b) 16 (c) 26 (d) 27
  32. 32.The mean of 3 numbers is 35. When the number 51 is added to them, what is the new mean? (a) 39 (b) 40 (c) 35 (d) 43
  33. 33.The mean of 3 numbers is 25. When the number 17 is added to them, what is the new mean? (a) 21 (b) 23 (c) 24 (d) 25
  34. 34.The mean of 6 numbers is 25. When the number 18 is added to them, what is the new mean? (a) 23 (b) 25 (c) 26 (d) 24
  35. 35.What is the mode of 4, 3, 12, 2, 3, 3 and 2? (a) 12 (b) 2 (c) 3 (d) 4
  36. 36.What is the mean of 12, 16, 10, 18 and 9? (a) 14 (b) 13 (c) 12 (d) 15
  37. 37.What is the median of 34, 12, 18, 8 and 13? (a) 12 (b) 18 (c) 13 (d) 17
  38. 38.What is the mean of 17, 10, 14, 10, 16 and 5? (a) 13 (b) 14 (c) 12 (d) 11
  39. 39.What is the median of 19, 15, 4, 16 and 5? (a) 15 (b) 16 (c) 4 (d) 5
  40. 40.What is the mode of 8, 18, 15, 8, 1, 15 and 8? (a) 8 (b) 18 (c) 1 (d) 15

Answer key

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

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