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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 295 · 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 6, 6, 2, 16, 2, 2 and 5? (a) 2 (b) 16 (c) 5 (d) 6
  2. 2.What is the mode of 9, 14, 9, 18, 9, 16 and 18? (a) 18 (b) 16 (c) 9 (d) 14
  3. 3.What is the mode of 2, 19, 12, 19, 19, 18 and 2? (a) 2 (b) 19 (c) 12 (d) 18
  4. 4.What is the median of 12, 34, 24, 3 and 6? (a) 13 (b) 24 (c) 6 (d) 12
  5. 5.The mean of 4 numbers is 26. When the number 11 is added to them, what is the new mean? (a) 23 (b) 22 (c) 24 (d) 26
  6. 6.What is the mean of 7, 4, 9 and 20? (a) 9 (b) 8 (c) 10 (d) 11
  7. 7.The mean of 6 numbers is 19. When the number 47 is added to them, what is the new mean? (a) 24 (b) 19 (c) 33 (d) 23
  8. 8.What is the median of 5, 15, 17, 10, 37, 36 and 40? (a) 10 (b) 15 (c) 17 (d) 36
  9. 9.What is the mean of 19, 9, 3 and 17? (a) 13 (b) 12 (c) 16 (d) 11
  10. 10.The mean of 4 numbers is 30. When the number 25 is added to them, what is the new mean? (a) 30 (b) 28 (c) 31 (d) 29
  11. 11.What is the median of 33, 40, 14, 20 and 21? (a) 21 (b) 20 (c) 14 (d) 33
  12. 12.What is the mean of 16, 14, 2, 12 and 11? (a) 13 (b) 12 (c) 11 (d) 10
  13. 13.The mean of 6 numbers is 19. When the number 5 is added to them, what is the new mean? (a) 12 (b) 17 (c) 18 (d) 19
  14. 14.The mean of 7 numbers is 25. When the number 9 is added to them, what is the new mean? (a) 23 (b) 24 (c) 17 (d) 25
  15. 15.What is the mean of 20, 10, 13, 14 and 8? (a) 13 (b) 14 (c) 15 (d) 12
  16. 16.The mean of 9 numbers is 37. When the number 17 is added to them, what is the new mean? (a) 35 (b) 37 (c) 27 (d) 36
  17. 17.The mean of 3 numbers is 34. When the number 50 is added to them, what is the new mean? (a) 39 (b) 42 (c) 38 (d) 34
  18. 18.What is the mode of 1, 11, 4, 1, 1, 19 and 19? (a) 19 (b) 1 (c) 4 (d) 11
  19. 19.The mean of 7 numbers is 33. When the number 49 is added to them, what is the new mean? (a) 41 (b) 35 (c) 33 (d) 36
  20. 20.What is the mode of 8, 11, 8, 5, 12, 11 and 11? (a) 5 (b) 12 (c) 11 (d) 8
  21. 21.The mean of 9 numbers is 12. When the number 22 is added to them, what is the new mean? (a) 14 (b) 17 (c) 12 (d) 13
  22. 22.What is the mean of 12, 14, 3 and 7? (a) 9 (b) 12 (c) 8 (d) 10
  23. 23.What is the mean of 7, 15, 16 and 2? (a) 8 (b) 9 (c) 11 (d) 10
  24. 24.What is the mode of 2, 4, 2, 18, 2, 17 and 18? (a) 17 (b) 4 (c) 2 (d) 18
  25. 25.What is the mean of 2, 18, 6, 19 and 20? (a) 15 (b) 12 (c) 14 (d) 13
  26. 26.What is the mean of 3, 4, 4 and 13? (a) 7 (b) 8 (c) 6 (d) 5
  27. 27.What is the median of 31, 8, 23, 7 and 4? (a) 9 (b) 7 (c) 23 (d) 8
  28. 28.What is the median of 17, 13, 16, 20, 33, 32 and 38? (a) 20 (b) 21 (c) 32 (d) 17
  29. 29.What is the median of 6, 28, 33, 13, 9, 27 and 36? (a) 26 (b) 27 (c) 28 (d) 13
  30. 30.What is the median of 31, 30, 23, 13 and 18? (a) 23 (b) 18 (c) 30 (d) 24
  31. 31.What is the mode of 11, 3, 11, 3, 11, 9 and 1? (a) 9 (b) 3 (c) 1 (d) 11
  32. 32.The mean of 4 numbers is 20. When the number 25 is added to them, what is the new mean? (a) 20 (b) 23 (c) 21 (d) 22
  33. 33.What is the mode of 10, 10, 17, 5, 17, 17 and 15? (a) 15 (b) 10 (c) 5 (d) 17
  34. 34.What is the mode of 7, 20, 20, 20, 3, 14 and 7? (a) 7 (b) 14 (c) 20 (d) 3
  35. 35.What is the mean of 2, 14, 5 and 23? (a) 13 (b) 10 (c) 12 (d) 11
  36. 36.What is the mode of 7, 12, 6, 5, 12, 12 and 7? (a) 6 (b) 5 (c) 12 (d) 7
  37. 37.What is the mean of 7, 18, 19 and 16? (a) 12 (b) 15 (c) 16 (d) 20
  38. 38.The mean of 3 numbers is 23. When the number 39 is added to them, what is the new mean? (a) 23 (b) 28 (c) 31 (d) 27
  39. 39.What is the mode of 5, 7, 11, 16, 7, 11 and 7? (a) 5 (b) 7 (c) 11 (d) 16
  40. 40.What is the median of 4, 38, 9, 33 and 7? (a) 33 (b) 7 (c) 10 (d) 9

Answer key

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

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