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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 757 · 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 13, 18, 18, 13, 8, 13 and 11? (a) 8 (b) 18 (c) 11 (d) 13
  2. 2.What is the mean of 18, 9, 4, 19 and 15? (a) 15 (b) 12 (c) 14 (d) 13
  3. 3.What is the mode of 1, 1, 17, 20, 20, 20 and 10? (a) 10 (b) 20 (c) 17 (d) 1
  4. 4.What is the mean of 11, 10, 6 and 5? (a) 9 (b) 10 (c) 8 (d) 7
  5. 5.The mean of 6 numbers is 25. When the number 18 is added to them, what is the new mean? (a) 26 (b) 23 (c) 25 (d) 24
  6. 6.What is the mode of 18, 3, 18, 19, 17, 17 and 17? (a) 3 (b) 19 (c) 18 (d) 17
  7. 7.What is the mode of 13, 17, 6, 15, 17, 17 and 6? (a) 13 (b) 17 (c) 6 (d) 15
  8. 8.What is the mode of 17, 10, 12, 10, 7, 10 and 7? (a) 17 (b) 10 (c) 7 (d) 12
  9. 9.What is the mode of 14, 14, 14, 17, 17, 9 and 8? (a) 9 (b) 14 (c) 17 (d) 8
  10. 10.What is the median of 3, 21, 26, 17 and 19? (a) 19 (b) 17 (c) 21 (d) 26
  11. 11.What is the mean of 8, 13, 20, 6, 3 and 4? (a) 8 (b) 11 (c) 10 (d) 9
  12. 12.The mean of 6 numbers is 15. When the number 43 is added to them, what is the new mean? (a) 29 (b) 20 (c) 19 (d) 15
  13. 13.What is the median of 5, 24, 23, 29, 11, 3 and 6? (a) 6 (b) 29 (c) 11 (d) 23
  14. 14.The mean of 8 numbers is 10. When the number 19 is added to them, what is the new mean? (a) 12 (b) 10 (c) 13 (d) 11
  15. 15.The mean of 6 numbers is 21. When the number 42 is added to them, what is the new mean? (a) 24 (b) 25 (c) 21 (d) 23
  16. 16.What is the median of 33, 19, 22, 38 and 15? (a) 33 (b) 22 (c) 23 (d) 19
  17. 17.What is the mean of 2, 11, 7 and 16? (a) 10 (b) 12 (c) 8 (d) 9
  18. 18.The mean of 5 numbers is 32. When the number 8 is added to them, what is the new mean? (a) 29 (b) 32 (c) 28 (d) 20
  19. 19.What is the median of 29, 22, 38, 5, 6, 8 and 7? (a) 7 (b) 8 (c) 5 (d) 22
  20. 20.What is the median of 26, 6, 29, 32 and 17? (a) 22 (b) 17 (c) 26 (d) 29
  21. 21.What is the mean of 19, 14, 16, 15, 4 and 16? (a) 14 (b) 12 (c) 15 (d) 13
  22. 22.The mean of 8 numbers is 33. When the number 51 is added to them, what is the new mean? (a) 35 (b) 42 (c) 33 (d) 36
  23. 23.The mean of 3 numbers is 17. When the number 1 is added to them, what is the new mean? (a) 14 (b) 17 (c) 9 (d) 13
  24. 24.What is the median of 29, 34, 6, 21 and 33? (a) 33 (b) 21 (c) 6 (d) 29
  25. 25.What is the median of 40, 33, 19, 27, 26, 16 and 15? (a) 25 (b) 26 (c) 27 (d) 19
  26. 26.What is the median of 25, 40, 9, 2 and 5? (a) 10 (b) 25 (c) 5 (d) 9
  27. 27.What is the mode of 1, 19, 7, 1, 9, 7 and 1? (a) 7 (b) 1 (c) 9 (d) 19
  28. 28.What is the mean of 17, 6, 14 and 3? (a) 9 (b) 8 (c) 11 (d) 10
  29. 29.The mean of 6 numbers is 39. When the number 67 is added to them, what is the new mean? (a) 53 (b) 44 (c) 39 (d) 43
  30. 30.What is the mean of 2, 9, 4, 5 and 15? (a) 6 (b) 8 (c) 9 (d) 7
  31. 31.What is the mode of 20, 12, 20, 12, 4, 12 and 16? (a) 16 (b) 20 (c) 12 (d) 4
  32. 32.The mean of 6 numbers is 17. When the number 45 is added to them, what is the new mean? (a) 22 (b) 31 (c) 21 (d) 17
  33. 33.What is the mode of 9, 9, 1, 19, 16, 16 and 9? (a) 9 (b) 16 (c) 1 (d) 19
  34. 34.What is the mode of 6, 3, 6, 6, 13, 16 and 3? (a) 6 (b) 13 (c) 16 (d) 3
  35. 35.What is the mean of 15, 4, 18, 13 and 5? (a) 12 (b) 10 (c) 11 (d) 13
  36. 36.What is the mean of 13, 20, 2 and 13? (a) 13 (b) 16 (c) 11 (d) 12
  37. 37.What is the median of 22, 40, 16, 29 and 6? (a) 29 (b) 22 (c) 16 (d) 23
  38. 38.What is the mode of 1, 1, 1, 8, 3, 18 and 3? (a) 1 (b) 8 (c) 3 (d) 18
  39. 39.What is the mode of 19, 9, 3, 9, 3, 3 and 1? (a) 19 (b) 9 (c) 1 (d) 3
  40. 40.What is the mean of 17, 7, 16 and 12? (a) 15 (b) 12 (c) 14 (d) 13

Answer key

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

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