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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 574 · 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 12, 2, 17 and 13? (a) 12 (b) 13 (c) 11 (d) 10
  2. 2.What is the median of 4, 34, 7, 36, 35, 32 and 3? (a) 32 (b) 7 (c) 36 (d) 34
  3. 3.What is the mode of 17, 9, 4, 4, 9, 4 and 16? (a) 4 (b) 16 (c) 17 (d) 9
  4. 4.What is the median of 9, 14, 35, 31, 24, 22 and 6? (a) 14 (b) 31 (c) 22 (d) 24
  5. 5.What is the median of 40, 17, 21, 6, 27, 18 and 1? (a) 21 (b) 6 (c) 18 (d) 17
  6. 6.What is the mode of 1, 11, 11, 4, 17, 4 and 4? (a) 17 (b) 1 (c) 11 (d) 4
  7. 7.What is the median of 33, 24, 2, 32, 29, 13 and 5? (a) 13 (b) 32 (c) 24 (d) 29
  8. 8.The mean of 3 numbers is 25. When the number 9 is added to them, what is the new mean? (a) 25 (b) 17 (c) 21 (d) 22
  9. 9.The mean of 9 numbers is 35. When the number 45 is added to them, what is the new mean? (a) 35 (b) 40 (c) 36 (d) 37
  10. 10.What is the mean of 20, 11, 18, 17, 2 and 16? (a) 15 (b) 12 (c) 13 (d) 14
  11. 11.What is the mode of 4, 3, 3, 4, 4, 6 and 10? (a) 10 (b) 3 (c) 4 (d) 6
  12. 12.What is the mode of 8, 10, 8, 19, 10, 17 and 8? (a) 17 (b) 19 (c) 8 (d) 10
  13. 13.What is the mean of 2, 5, 9 and 12? (a) 7 (b) 8 (c) 9 (d) 6
  14. 14.What is the mean of 5, 14, 13 and 20? (a) 12 (b) 15 (c) 14 (d) 13
  15. 15.The mean of 4 numbers is 40. When the number 55 is added to them, what is the new mean? (a) 44 (b) 40 (c) 42 (d) 43
  16. 16.The mean of 9 numbers is 31. When the number 21 is added to them, what is the new mean? (a) 26 (b) 31 (c) 30 (d) 29
  17. 17.What is the mode of 2, 14, 14, 5, 2, 12 and 14? (a) 14 (b) 12 (c) 5 (d) 2
  18. 18.What is the median of 2, 26, 20, 27 and 8? (a) 8 (b) 21 (c) 26 (d) 20
  19. 19.What is the mode of 9, 1, 17, 4, 17, 1 and 1? (a) 9 (b) 4 (c) 17 (d) 1
  20. 20.What is the mode of 20, 13, 15, 15, 17, 17 and 17? (a) 17 (b) 13 (c) 20 (d) 15
  21. 21.The mean of 8 numbers is 17. When the number 35 is added to them, what is the new mean? (a) 19 (b) 17 (c) 20 (d) 26
  22. 22.What is the mean of 5, 15, 16, 17, 5 and 14? (a) 13 (b) 12 (c) 14 (d) 11
  23. 23.What is the mean of 20, 5, 8, 13 and 4? (a) 9 (b) 12 (c) 11 (d) 10
  24. 24.The mean of 3 numbers is 37. When the number 21 is added to them, what is the new mean? (a) 34 (b) 37 (c) 33 (d) 29
  25. 25.The mean of 9 numbers is 12. When the number 32 is added to them, what is the new mean? (a) 22 (b) 12 (c) 14 (d) 15
  26. 26.The mean of 8 numbers is 33. When the number 60 is added to them, what is the new mean? (a) 35 (b) 36 (c) 33 (d) 37
  27. 27.What is the mean of 4, 9, 4 and 7? (a) 8 (b) 5 (c) 7 (d) 6
  28. 28.What is the mean of 19, 5, 16, 15, 16 and 7? (a) 14 (b) 13 (c) 15 (d) 12
  29. 29.What is the median of 18, 40, 25, 30 and 39? (a) 39 (b) 30 (c) 25 (d) 31
  30. 30.The mean of 7 numbers is 30. When the number 38 is added to them, what is the new mean? (a) 31 (b) 32 (c) 30 (d) 34
  31. 31.What is the median of 25, 39, 27, 38 and 4? (a) 28 (b) 27 (c) 25 (d) 38
  32. 32.What is the mode of 11, 11, 6, 16, 4, 4 and 4? (a) 11 (b) 4 (c) 6 (d) 16
  33. 33.What is the mode of 7, 3, 2, 14, 7, 7 and 3? (a) 14 (b) 3 (c) 2 (d) 7
  34. 34.What is the mode of 5, 20, 6, 6, 5, 18 and 6? (a) 5 (b) 20 (c) 18 (d) 6
  35. 35.What is the median of 15, 34, 21, 22 and 14? (a) 21 (b) 15 (c) 22 (d) 20
  36. 36.The mean of 5 numbers is 12. When the number 6 is added to them, what is the new mean? (a) 11 (b) 9 (c) 10 (d) 12
  37. 37.What is the mean of 8, 8, 7 and 21? (a) 13 (b) 10 (c) 11 (d) 12
  38. 38.What is the mode of 4, 4, 8, 10, 3, 8 and 8? (a) 8 (b) 10 (c) 4 (d) 3
  39. 39.What is the mean of 18, 16, 14 and 16? (a) 15 (b) 16 (c) 18 (d) 17
  40. 40.The mean of 8 numbers is 13. When the number 4 is added to them, what is the new mean? (a) 11 (b) 13 (c) 14 (d) 12

Answer key

  1. 11
  2. 32
  3. 4
  4. 22
  5. 18
  6. 4
  7. 24
  8. 21
  9. 36
  10. 14
  11. 4
  12. 8
  13. 7
  14. 13
  15. 43
  16. 30
  17. 14
  18. 20
  19. 1
  20. 17
  21. 19
  22. 12
  23. 10
  24. 33
  25. 14
  26. 36
  27. 6
  28. 13
  29. 30
  30. 31
  31. 27
  32. 4
  33. 7
  34. 6
  35. 21
  36. 11
  37. 11
  38. 8
  39. 16
  40. 12

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