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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 771 · 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 3, 16, 14, 3, 3, 14 and 6? (a) 16 (b) 6 (c) 14 (d) 3
  2. 2.What is the mode of 8, 11, 8, 8, 11, 4 and 14? (a) 11 (b) 8 (c) 4 (d) 14
  3. 3.What is the median of 2, 32, 14, 6, 24, 3 and 19? (a) 6 (b) 14 (c) 15 (d) 19
  4. 4.What is the mean of 7, 9, 19, 7 and 8? (a) 11 (b) 10 (c) 12 (d) 9
  5. 5.What is the median of 1, 3, 18, 27 and 15? (a) 18 (b) 3 (c) 15 (d) 16
  6. 6.What is the mode of 8, 13, 13, 5, 13, 7 and 8? (a) 5 (b) 8 (c) 7 (d) 13
  7. 7.What is the mean of 5, 15, 9, 17, 16 and 10? (a) 13 (b) 14 (c) 11 (d) 12
  8. 8.What is the mode of 12, 18, 12, 20, 19, 12 and 20? (a) 20 (b) 18 (c) 19 (d) 12
  9. 9.The mean of 6 numbers is 25. When the number 18 is added to them, what is the new mean? (a) 24 (b) 23 (c) 25 (d) 26
  10. 10.What is the mode of 6, 6, 4, 11, 4, 8 and 6? (a) 6 (b) 11 (c) 8 (d) 4
  11. 11.What is the mean of 6, 3, 15 and 16? (a) 9 (b) 8 (c) 11 (d) 10
  12. 12.The mean of 4 numbers is 35. When the number 40 is added to them, what is the new mean? (a) 37 (b) 38 (c) 35 (d) 36
  13. 13.What is the mean of 4, 12, 7, 5 and 22? (a) 11 (b) 9 (c) 12 (d) 10
  14. 14.The mean of 4 numbers is 14. When the number 9 is added to them, what is the new mean? (a) 12 (b) 14 (c) 13 (d) 15
  15. 15.What is the mean of 6, 18, 11 and 9? (a) 11 (b) 10 (c) 13 (d) 12
  16. 16.The mean of 5 numbers is 36. When the number 12 is added to them, what is the new mean? (a) 33 (b) 36 (c) 32 (d) 24
  17. 17.What is the mode of 2, 15, 2, 16, 8, 16 and 2? (a) 2 (b) 8 (c) 16 (d) 15
  18. 18.What is the mean of 8, 6, 20, 17, 5 and 10? (a) 13 (b) 12 (c) 11 (d) 10
  19. 19.What is the median of 5, 9, 11, 26 and 16? (a) 12 (b) 16 (c) 9 (d) 11
  20. 20.What is the mode of 5, 8, 5, 8, 3, 16 and 8? (a) 16 (b) 3 (c) 8 (d) 5
  21. 21.What is the mean of 10, 8, 7, 15, 3 and 5? (a) 7 (b) 8 (c) 9 (d) 10
  22. 22.What is the mean of 13, 17, 9, 10, 10 and 19? (a) 15 (b) 12 (c) 14 (d) 13
  23. 23.What is the mode of 1, 1, 2, 1, 4, 2 and 19? (a) 19 (b) 1 (c) 4 (d) 2
  24. 24.The mean of 4 numbers is 27. When the number 12 is added to them, what is the new mean? (a) 25 (b) 23 (c) 24 (d) 27
  25. 25.What is the mode of 5, 8, 13, 10, 10, 10 and 13? (a) 10 (b) 8 (c) 5 (d) 13
  26. 26.What is the median of 26, 36, 1, 37, 17, 22 and 3? (a) 17 (b) 37 (c) 22 (d) 26
  27. 27.What is the mode of 16, 19, 17, 16, 5, 17 and 17? (a) 19 (b) 5 (c) 17 (d) 16
  28. 28.What is the mean of 5, 17, 6, 18, 4 and 16? (a) 10 (b) 12 (c) 13 (d) 11
  29. 29.What is the mean of 12, 9, 9 and 10? (a) 8 (b) 11 (c) 9 (d) 10
  30. 30.What is the mode of 17, 17, 7, 17, 3, 3 and 4? (a) 3 (b) 4 (c) 17 (d) 7
  31. 31.What is the mean of 15, 7, 14, 10, 12 and 20? (a) 15 (b) 14 (c) 13 (d) 12
  32. 32.What is the median of 18, 9, 15, 22, 36, 4 and 2? (a) 18 (b) 9 (c) 15 (d) 22
  33. 33.What is the mode of 19, 19, 8, 8, 16, 14 and 8? (a) 8 (b) 19 (c) 14 (d) 16
  34. 34.What is the mode of 10, 10, 20, 11, 10, 19 and 19? (a) 11 (b) 19 (c) 10 (d) 20
  35. 35.What is the median of 33, 21, 36, 9 and 10? (a) 36 (b) 33 (c) 10 (d) 21
  36. 36.The mean of 9 numbers is 17. When the number 37 is added to them, what is the new mean? (a) 27 (b) 17 (c) 19 (d) 20
  37. 37.The mean of 7 numbers is 38. When the number 62 is added to them, what is the new mean? (a) 38 (b) 50 (c) 41 (d) 42
  38. 38.The mean of 8 numbers is 34. When the number 43 is added to them, what is the new mean? (a) 36 (b) 34 (c) 37 (d) 35
  39. 39.What is the mean of 20, 13, 20, 18 and 14? (a) 19 (b) 17 (c) 16 (d) 18
  40. 40.The mean of 3 numbers is 19. When the number 23 is added to them, what is the new mean? (a) 22 (b) 19 (c) 21 (d) 20

Answer key

  1. 3
  2. 8
  3. 14
  4. 10
  5. 15
  6. 13
  7. 12
  8. 12
  9. 24
  10. 6
  11. 10
  12. 36
  13. 10
  14. 13
  15. 11
  16. 32
  17. 2
  18. 11
  19. 11
  20. 8
  21. 8
  22. 13
  23. 1
  24. 24
  25. 10
  26. 22
  27. 17
  28. 11
  29. 10
  30. 17
  31. 13
  32. 15
  33. 8
  34. 10
  35. 21
  36. 19
  37. 41
  38. 35
  39. 17
  40. 20

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