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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 352 · 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 mean of 2, 12, 15, 11, 4 and 16? (a) 10 (b) 11 (c) 9 (d) 12
  2. 2.The mean of 4 numbers is 39. When the number 19 is added to them, what is the new mean? (a) 39 (b) 36 (c) 35 (d) 29
  3. 3.What is the median of 19, 24, 17, 26 and 30? (a) 26 (b) 19 (c) 17 (d) 24
  4. 4.What is the mean of 4, 12, 15 and 5? (a) 10 (b) 8 (c) 9 (d) 12
  5. 5.The mean of 7 numbers is 34. When the number 66 is added to them, what is the new mean? (a) 34 (b) 38 (c) 50 (d) 39
  6. 6.What is the mean of 18, 6, 8, 18 and 10? (a) 10 (b) 13 (c) 12 (d) 15
  7. 7.What is the mode of 4, 5, 8, 2, 4, 2 and 4? (a) 8 (b) 5 (c) 2 (d) 4
  8. 8.The mean of 6 numbers is 13. When the number 27 is added to them, what is the new mean? (a) 13 (b) 20 (c) 16 (d) 15
  9. 9.The mean of 3 numbers is 22. When the number 6 is added to them, what is the new mean? (a) 14 (b) 22 (c) 19 (d) 18
  10. 10.The mean of 3 numbers is 36. When the number 20 is added to them, what is the new mean? (a) 36 (b) 28 (c) 32 (d) 33
  11. 11.The mean of 8 numbers is 26. When the number 17 is added to them, what is the new mean? (a) 25 (b) 27 (c) 24 (d) 26
  12. 12.What is the mode of 3, 3, 2, 3, 2, 7 and 20? (a) 2 (b) 20 (c) 7 (d) 3
  13. 13.What is the mode of 13, 16, 20, 20, 4, 20 and 4? (a) 20 (b) 13 (c) 4 (d) 16
  14. 14.What is the mean of 17, 12, 9, 14 and 18? (a) 16 (b) 15 (c) 13 (d) 14
  15. 15.What is the mean of 13, 5, 7, 6, 8 and 21? (a) 11 (b) 12 (c) 10 (d) 9
  16. 16.The mean of 4 numbers is 23. When the number 8 is added to them, what is the new mean? (a) 19 (b) 21 (c) 23 (d) 20
  17. 17.What is the mode of 3, 12, 12, 3, 3, 9 and 7? (a) 12 (b) 9 (c) 7 (d) 3
  18. 18.What is the mean of 7, 15, 9 and 5? (a) 8 (b) 9 (c) 12 (d) 10
  19. 19.The mean of 8 numbers is 18. When the number 36 is added to them, what is the new mean? (a) 18 (b) 21 (c) 20 (d) 27
  20. 20.What is the mean of 10, 12, 15, 6, 7 and 10? (a) 9 (b) 10 (c) 12 (d) 11
  21. 21.What is the mean of 18, 19, 17, 18 and 18? (a) 18 (b) 19 (c) 15 (d) 17
  22. 22.What is the median of 34, 4, 9, 30, 32, 7 and 28? (a) 9 (b) 29 (c) 28 (d) 30
  23. 23.What is the median of 32, 2, 27, 7 and 3? (a) 3 (b) 7 (c) 8 (d) 27
  24. 24.What is the mode of 1, 13, 12, 16, 13, 16 and 13? (a) 12 (b) 1 (c) 16 (d) 13
  25. 25.What is the median of 21, 17, 24, 20 and 3? (a) 24 (b) 20 (c) 21 (d) 17
  26. 26.What is the median of 11, 37, 19, 26, 22, 25 and 9? (a) 26 (b) 19 (c) 25 (d) 22
  27. 27.What is the median of 35, 3, 33, 8, 31, 11 and 39? (a) 33 (b) 11 (c) 8 (d) 31
  28. 28.What is the median of 6, 17, 24, 35 and 33? (a) 33 (b) 23 (c) 24 (d) 17
  29. 29.What is the median of 34, 23, 10, 27 and 16? (a) 22 (b) 10 (c) 27 (d) 23
  30. 30.What is the mode of 14, 12, 12, 14, 15, 13 and 12? (a) 13 (b) 15 (c) 14 (d) 12
  31. 31.What is the mode of 5, 19, 19, 12, 19, 5 and 3? (a) 12 (b) 5 (c) 19 (d) 3
  32. 32.What is the mean of 12, 2, 6, 20, 9 and 17? (a) 10 (b) 11 (c) 12 (d) 13
  33. 33.What is the mean of 4, 3, 18, 3 and 17? (a) 8 (b) 10 (c) 9 (d) 11
  34. 34.The mean of 4 numbers is 10. When the number 5 is added to them, what is the new mean? (a) 8 (b) 10 (c) 9 (d) 11
  35. 35.What is the mode of 4, 10, 17, 10, 17, 17 and 18? (a) 4 (b) 17 (c) 18 (d) 10
  36. 36.What is the median of 2, 1, 16, 11 and 19? (a) 12 (b) 11 (c) 2 (d) 16
  37. 37.The mean of 3 numbers is 36. When the number 32 is added to them, what is the new mean? (a) 35 (b) 34 (c) 37 (d) 36
  38. 38.What is the median of 37, 29, 15, 36, 35, 20 and 12? (a) 35 (b) 29 (c) 36 (d) 20
  39. 39.What is the mode of 15, 19, 12, 15, 4, 12 and 12? (a) 4 (b) 15 (c) 12 (d) 19
  40. 40.What is the mode of 2, 3, 13, 20, 13, 20 and 20? (a) 20 (b) 2 (c) 3 (d) 13

Answer key

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

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