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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 445 · 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 median of 29, 18, 26, 11 and 36? (a) 24 (b) 18 (c) 26 (d) 29
  2. 2.What is the mode of 5, 12, 12, 1, 13, 1 and 1? (a) 1 (b) 12 (c) 13 (d) 5
  3. 3.What is the mean of 3, 7, 16 and 6? (a) 10 (b) 7 (c) 9 (d) 8
  4. 4.The mean of 7 numbers is 33. When the number 1 is added to them, what is the new mean? (a) 33 (b) 17 (c) 29 (d) 30
  5. 5.What is the median of 5, 32, 2, 29 and 25? (a) 5 (b) 2 (c) 25 (d) 29
  6. 6.What is the mean of 18, 15, 10, 10 and 12? (a) 15 (b) 14 (c) 13 (d) 12
  7. 7.The mean of 7 numbers is 35. When the number 59 is added to them, what is the new mean? (a) 38 (b) 39 (c) 47 (d) 35
  8. 8.The mean of 7 numbers is 14. When the number 46 is added to them, what is the new mean? (a) 30 (b) 18 (c) 14 (d) 19
  9. 9.What is the median of 26, 35, 37, 3, 9, 34 and 39? (a) 26 (b) 3 (c) 34 (d) 35
  10. 10.The mean of 4 numbers is 15. When the number 10 is added to them, what is the new mean? (a) 16 (b) 13 (c) 14 (d) 15
  11. 11.What is the mode of 1, 12, 1, 1, 12, 15 and 7? (a) 12 (b) 15 (c) 7 (d) 1
  12. 12.The mean of 5 numbers is 22. When the number 34 is added to them, what is the new mean? (a) 25 (b) 28 (c) 22 (d) 24
  13. 13.What is the median of 9, 15, 36, 25 and 2? (a) 36 (b) 15 (c) 9 (d) 25
  14. 14.What is the median of 9, 21, 1, 34 and 19? (a) 9 (b) 21 (c) 1 (d) 19
  15. 15.What is the mean of 14, 17, 19, 6, 2 and 20? (a) 14 (b) 15 (c) 13 (d) 12
  16. 16.What is the median of 35, 22, 16, 9, 4, 13 and 26? (a) 9 (b) 22 (c) 13 (d) 16
  17. 17.What is the mode of 8, 14, 14, 1, 1, 1 and 4? (a) 4 (b) 1 (c) 8 (d) 14
  18. 18.The mean of 3 numbers is 37. When the number 41 is added to them, what is the new mean? (a) 39 (b) 38 (c) 40 (d) 37
  19. 19.What is the mean of 15, 9, 2, 7, 3 and 24? (a) 11 (b) 10 (c) 12 (d) 9
  20. 20.What is the mode of 19, 19, 6, 10, 19, 10 and 3? (a) 10 (b) 6 (c) 19 (d) 3
  21. 21.What is the median of 29, 4, 18, 20, 21, 31 and 11? (a) 19 (b) 18 (c) 20 (d) 21
  22. 22.What is the median of 3, 28, 1, 10, 19, 20 and 16? (a) 19 (b) 16 (c) 17 (d) 10
  23. 23.What is the mode of 19, 12, 13, 17, 12, 12 and 17? (a) 13 (b) 19 (c) 12 (d) 17
  24. 24.What is the median of 20, 16, 11, 28, 23, 15 and 6? (a) 16 (b) 28 (c) 17 (d) 20
  25. 25.What is the median of 23, 33, 28, 19 and 2? (a) 21 (b) 28 (c) 19 (d) 23
  26. 26.What is the mean of 8, 14, 5, 6, 9 and 18? (a) 9 (b) 10 (c) 12 (d) 11
  27. 27.What is the mode of 13, 12, 17, 4, 12, 17 and 17? (a) 4 (b) 13 (c) 17 (d) 12
  28. 28.What is the mode of 2, 16, 17, 20, 20, 2 and 2? (a) 20 (b) 16 (c) 2 (d) 17
  29. 29.What is the median of 11, 9, 23, 26 and 39? (a) 26 (b) 11 (c) 24 (d) 23
  30. 30.What is the mean of 18, 20, 9 and 21? (a) 18 (b) 17 (c) 19 (d) 16
  31. 31.What is the mean of 4, 14, 15, 5, 10 and 6? (a) 11 (b) 10 (c) 8 (d) 9
  32. 32.What is the mode of 16, 6, 6, 7, 19, 16 and 16? (a) 6 (b) 19 (c) 16 (d) 7
  33. 33.What is the mean of 10, 5, 4 and 17? (a) 12 (b) 9 (c) 8 (d) 10
  34. 34.What is the mode of 6, 8, 6, 18, 3, 6 and 8? (a) 8 (b) 3 (c) 18 (d) 6
  35. 35.The mean of 6 numbers is 35. When the number 56 is added to them, what is the new mean? (a) 38 (b) 39 (c) 37 (d) 35
  36. 36.What is the mode of 14, 15, 7, 7, 7, 5 and 15? (a) 14 (b) 15 (c) 5 (d) 7
  37. 37.What is the mode of 3, 4, 14, 4, 10, 4 and 10? (a) 4 (b) 3 (c) 14 (d) 10
  38. 38.What is the mean of 8, 19, 2, 12, 13 and 12? (a) 12 (b) 11 (c) 10 (d) 13
  39. 39.What is the mode of 6, 12, 12, 17, 6, 5 and 12? (a) 6 (b) 12 (c) 17 (d) 5
  40. 40.What is the mean of 3, 17, 15, 2, 2 and 9? (a) 10 (b) 9 (c) 7 (d) 8

Answer key

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

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