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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 473 · 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 17, 11, 6, 11, 12, 12 and 12? (a) 12 (b) 6 (c) 17 (d) 11
  2. 2.What is the median of 32, 12, 1, 22, 6, 3 and 20? (a) 6 (b) 22 (c) 20 (d) 12
  3. 3.What is the mean of 8, 4, 8, 20, 15 and 17? (a) 13 (b) 12 (c) 11 (d) 14
  4. 4.The mean of 8 numbers is 28. When the number 1 is added to them, what is the new mean? (a) 28 (b) 25 (c) 26 (d) 24
  5. 5.What is the median of 37, 3, 17, 39 and 31? (a) 32 (b) 17 (c) 37 (d) 31
  6. 6.What is the mean of 5, 4, 2 and 5? (a) 5 (b) 6 (c) 3 (d) 4
  7. 7.What is the mode of 3, 17, 12, 12, 3, 19 and 3? (a) 3 (b) 12 (c) 17 (d) 19
  8. 8.What is the median of 34, 24, 18, 1 and 35? (a) 18 (b) 25 (c) 34 (d) 24
  9. 9.What is the mode of 2, 7, 18, 16, 18, 18 and 2? (a) 18 (b) 7 (c) 2 (d) 16
  10. 10.What is the median of 29, 23, 1, 39, 30, 40 and 35? (a) 30 (b) 39 (c) 35 (d) 29
  11. 11.What is the mean of 2, 16, 2 and 8? (a) 9 (b) 6 (c) 7 (d) 8
  12. 12.What is the mean of 8, 6, 18, 3, 5 and 14? (a) 9 (b) 10 (c) 8 (d) 11
  13. 13.The mean of 9 numbers is 19. When the number 59 is added to them, what is the new mean? (a) 39 (b) 19 (c) 23 (d) 24
  14. 14.The mean of 7 numbers is 22. When the number 38 is added to them, what is the new mean? (a) 30 (b) 22 (c) 24 (d) 25
  15. 15.What is the mode of 5, 14, 18, 5, 4, 5 and 4? (a) 18 (b) 4 (c) 5 (d) 14
  16. 16.What is the mode of 10, 4, 19, 10, 10, 7 and 4? (a) 7 (b) 19 (c) 10 (d) 4
  17. 17.The mean of 7 numbers is 16. When the number 8 is added to them, what is the new mean? (a) 14 (b) 15 (c) 16 (d) 12
  18. 18.The mean of 4 numbers is 23. When the number 38 is added to them, what is the new mean? (a) 27 (b) 23 (c) 26 (d) 25
  19. 19.What is the median of 32, 9, 35, 18, 22, 27 and 33? (a) 32 (b) 22 (c) 27 (d) 18
  20. 20.What is the median of 38, 18, 28, 35 and 17? (a) 18 (b) 28 (c) 29 (d) 35
  21. 21.What is the mode of 4, 4, 16, 19, 16, 6 and 16? (a) 16 (b) 4 (c) 6 (d) 19
  22. 22.What is the median of 27, 24, 37, 17 and 35? (a) 37 (b) 35 (c) 27 (d) 28
  23. 23.The mean of 4 numbers is 14. When the number 24 is added to them, what is the new mean? (a) 17 (b) 14 (c) 16 (d) 19
  24. 24.What is the mode of 19, 17, 15, 13, 19, 17 and 17? (a) 19 (b) 13 (c) 17 (d) 15
  25. 25.The mean of 8 numbers is 26. When the number 35 is added to them, what is the new mean? (a) 28 (b) 27 (c) 29 (d) 26
  26. 26.The mean of 5 numbers is 33. When the number 9 is added to them, what is the new mean? (a) 21 (b) 33 (c) 30 (d) 29
  27. 27.What is the median of 36, 26, 22, 9, 3, 27 and 5? (a) 22 (b) 26 (c) 9 (d) 23
  28. 28.The mean of 5 numbers is 28. When the number 22 is added to them, what is the new mean? (a) 27 (b) 28 (c) 26 (d) 25
  29. 29.What is the mean of 18, 12, 16 and 22? (a) 16 (b) 19 (c) 17 (d) 18
  30. 30.What is the median of 10, 36, 33, 5, 15, 7 and 18? (a) 18 (b) 5 (c) 10 (d) 15
  31. 31.What is the mean of 17, 5, 4 and 10? (a) 8 (b) 10 (c) 12 (d) 9
  32. 32.The mean of 9 numbers is 25. When the number 45 is added to them, what is the new mean? (a) 25 (b) 35 (c) 28 (d) 27
  33. 33.What is the mode of 14, 11, 14, 4, 11, 11 and 16? (a) 16 (b) 4 (c) 14 (d) 11
  34. 34.What is the mean of 5, 15, 19, 9, 7 and 17? (a) 12 (b) 13 (c) 14 (d) 11
  35. 35.What is the median of 19, 11, 3, 17, 18, 13 and 36? (a) 13 (b) 18 (c) 17 (d) 16
  36. 36.The mean of 6 numbers is 22. When the number 29 is added to them, what is the new mean? (a) 23 (b) 25 (c) 22 (d) 24
  37. 37.The mean of 3 numbers is 31. When the number 19 is added to them, what is the new mean? (a) 25 (b) 28 (c) 31 (d) 29
  38. 38.What is the median of 5, 3, 38, 4, 23, 32 and 9? (a) 9 (b) 23 (c) 4 (d) 5
  39. 39.What is the mean of 13, 15, 8, 14, 15 and 19? (a) 12 (b) 14 (c) 15 (d) 13
  40. 40.What is the mode of 2, 7, 4, 2, 2, 16 and 4? (a) 7 (b) 4 (c) 2 (d) 16

Answer key

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

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