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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 119 · 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, 1, 2, 1, 13, 1 and 3? (a) 2 (b) 3 (c) 1 (d) 13
  2. 2.The mean of 9 numbers is 39. When the number 19 is added to them, what is the new mean? (a) 37 (b) 38 (c) 39 (d) 29
  3. 3.What is the mean of 14, 11, 5, 6, 9 and 3? (a) 7 (b) 8 (c) 9 (d) 10
  4. 4.What is the mode of 15, 1, 1, 8, 8, 19 and 1? (a) 1 (b) 19 (c) 15 (d) 8
  5. 5.What is the mean of 19, 15, 7 and 11? (a) 14 (b) 15 (c) 12 (d) 13
  6. 6.What is the median of 36, 10, 30, 3 and 33? (a) 30 (b) 10 (c) 31 (d) 33
  7. 7.What is the median of 7, 25, 9, 12 and 3? (a) 10 (b) 12 (c) 7 (d) 9
  8. 8.What is the mean of 6, 18, 4 and 20? (a) 12 (b) 11 (c) 13 (d) 16
  9. 9.What is the mean of 6, 10, 5 and 7? (a) 7 (b) 9 (c) 8 (d) 6
  10. 10.What is the mean of 17, 10, 4, 4, 16 and 9? (a) 9 (b) 12 (c) 11 (d) 10
  11. 11.What is the mode of 13, 13, 13, 3, 15, 3 and 10? (a) 3 (b) 13 (c) 10 (d) 15
  12. 12.What is the median of 28, 22, 12, 6, 24, 5 and 37? (a) 24 (b) 6 (c) 22 (d) 12
  13. 13.What is the mean of 15, 6, 10, 11 and 13? (a) 10 (b) 13 (c) 11 (d) 12
  14. 14.What is the mode of 16, 19, 19, 1, 9, 19 and 16? (a) 19 (b) 9 (c) 1 (d) 16
  15. 15.What is the mean of 6, 5, 16, 13, 2 and 18? (a) 11 (b) 9 (c) 10 (d) 12
  16. 16.The mean of 6 numbers is 12. When the number 5 is added to them, what is the new mean? (a) 13 (b) 10 (c) 12 (d) 11
  17. 17.The mean of 4 numbers is 21. When the number 31 is added to them, what is the new mean? (a) 24 (b) 26 (c) 23 (d) 21
  18. 18.What is the mean of 4, 12, 18 and 10? (a) 13 (b) 10 (c) 12 (d) 11
  19. 19.The mean of 7 numbers is 38. When the number 22 is added to them, what is the new mean? (a) 38 (b) 36 (c) 37 (d) 30
  20. 20.What is the mode of 9, 9, 14, 4, 17, 17 and 17? (a) 17 (b) 4 (c) 14 (d) 9
  21. 21.What is the mode of 15, 15, 10, 13, 15, 10 and 2? (a) 15 (b) 2 (c) 10 (d) 13
  22. 22.What is the mean of 12, 12, 6, 8 and 17? (a) 10 (b) 13 (c) 11 (d) 12
  23. 23.The mean of 8 numbers is 23. When the number 32 is added to them, what is the new mean? (a) 23 (b) 24 (c) 25 (d) 26
  24. 24.What is the mode of 8, 14, 4, 14, 2, 8 and 8? (a) 8 (b) 14 (c) 4 (d) 2
  25. 25.What is the median of 5, 18, 25, 35, 38, 39 and 29? (a) 25 (b) 35 (c) 29 (d) 27
  26. 26.What is the median of 14, 25, 7, 26 and 17? (a) 14 (b) 7 (c) 25 (d) 17
  27. 27.What is the median of 5, 39, 10, 21, 9, 22 and 27? (a) 22 (b) 19 (c) 21 (d) 10
  28. 28.What is the mean of 17, 4, 7 and 16? (a) 12 (b) 13 (c) 10 (d) 11
  29. 29.What is the mean of 17, 9, 7, 4, 5 and 18? (a) 12 (b) 9 (c) 10 (d) 11
  30. 30.What is the median of 24, 19, 13, 22, 34, 12 and 7? (a) 13 (b) 20 (c) 22 (d) 19
  31. 31.What is the mean of 16, 2, 5 and 5? (a) 6 (b) 9 (c) 7 (d) 8
  32. 32.What is the mode of 15, 16, 1, 1, 19, 19 and 1? (a) 16 (b) 15 (c) 19 (d) 1
  33. 33.The mean of 6 numbers is 27. When the number 55 is added to them, what is the new mean? (a) 41 (b) 27 (c) 32 (d) 31
  34. 34.What is the mean of 6, 12, 18 and 8? (a) 12 (b) 11 (c) 13 (d) 10
  35. 35.The mean of 8 numbers is 14. When the number 32 is added to them, what is the new mean? (a) 17 (b) 14 (c) 23 (d) 16
  36. 36.What is the median of 2, 23, 22, 13 and 40? (a) 23 (b) 20 (c) 22 (d) 13
  37. 37.The mean of 5 numbers is 39. When the number 45 is added to them, what is the new mean? (a) 40 (b) 42 (c) 41 (d) 39
  38. 38.What is the median of 5, 26, 11, 14, 18, 38 and 36? (a) 14 (b) 18 (c) 19 (d) 26
  39. 39.What is the mean of 17, 2, 18 and 15? (a) 15 (b) 12 (c) 13 (d) 14
  40. 40.What is the median of 24, 16, 20, 39 and 7? (a) 20 (b) 24 (c) 21 (d) 16

Answer key

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

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