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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 763 · 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 7, 2, 7, 7, 8, 4 and 8? (a) 8 (b) 4 (c) 7 (d) 2
  2. 2.What is the mode of 16, 16, 11, 10, 9, 16 and 10? (a) 10 (b) 9 (c) 16 (d) 11
  3. 3.What is the median of 35, 12, 17, 24 and 4? (a) 12 (b) 17 (c) 18 (d) 24
  4. 4.What is the mode of 4, 13, 13, 2, 4, 6 and 4? (a) 4 (b) 13 (c) 6 (d) 2
  5. 5.What is the median of 14, 3, 24, 15 and 31? (a) 24 (b) 16 (c) 14 (d) 15
  6. 6.The mean of 8 numbers is 25. When the number 34 is added to them, what is the new mean? (a) 28 (b) 27 (c) 25 (d) 26
  7. 7.What is the mean of 3, 4, 4, 19 and 10? (a) 8 (b) 10 (c) 9 (d) 7
  8. 8.What is the median of 30, 24, 17, 26, 1, 25 and 16? (a) 24 (b) 26 (c) 25 (d) 17
  9. 9.What is the mean of 19, 9, 20, 15 and 22? (a) 19 (b) 17 (c) 18 (d) 16
  10. 10.What is the median of 20, 22, 36, 3 and 39? (a) 24 (b) 20 (c) 36 (d) 22
  11. 11.What is the median of 28, 5, 12, 21, 40, 27 and 1? (a) 27 (b) 12 (c) 22 (d) 21
  12. 12.What is the mean of 20, 12, 6 and 2? (a) 9 (b) 11 (c) 8 (d) 10
  13. 13.What is the mode of 19, 2, 9, 19, 2, 2 and 7? (a) 2 (b) 9 (c) 19 (d) 7
  14. 14.What is the median of 5, 9, 1, 3, 6, 32 and 28? (a) 9 (b) 3 (c) 6 (d) 12
  15. 15.What is the mean of 7, 12, 13, 14 and 19? (a) 14 (b) 12 (c) 15 (d) 13
  16. 16.What is the mean of 10, 19, 15, 13, 18 and 3? (a) 14 (b) 13 (c) 12 (d) 15
  17. 17.The mean of 6 numbers is 11. When the number 32 is added to them, what is the new mean? (a) 14 (b) 13 (c) 15 (d) 11
  18. 18.What is the mean of 13, 7, 17 and 15? (a) 12 (b) 15 (c) 14 (d) 13
  19. 19.What is the median of 9, 10, 34, 16 and 36? (a) 34 (b) 10 (c) 21 (d) 16
  20. 20.The mean of 4 numbers is 36. When the number 16 is added to them, what is the new mean? (a) 36 (b) 33 (c) 32 (d) 26
  21. 21.The mean of 8 numbers is 12. When the number 3 is added to them, what is the new mean? (a) 10 (b) 12 (c) 11 (d) 13
  22. 22.What is the mode of 16, 18, 10, 17, 16, 18 and 18? (a) 10 (b) 16 (c) 17 (d) 18
  23. 23.What is the median of 9, 36, 12, 11, 3, 1 and 14? (a) 12 (b) 9 (c) 10 (d) 11
  24. 24.The mean of 6 numbers is 33. When the number 61 is added to them, what is the new mean? (a) 33 (b) 37 (c) 38 (d) 47
  25. 25.What is the mode of 8, 3, 3, 18, 15, 8 and 8? (a) 18 (b) 15 (c) 3 (d) 8
  26. 26.What is the median of 31, 24, 10, 12, 40, 21 and 28? (a) 24 (b) 28 (c) 21 (d) 12
  27. 27.What is the mode of 16, 20, 6, 20, 6, 7 and 20? (a) 6 (b) 16 (c) 7 (d) 20
  28. 28.The mean of 3 numbers is 27. When the number 23 is added to them, what is the new mean? (a) 27 (b) 26 (c) 25 (d) 28
  29. 29.The mean of 6 numbers is 18. When the number 11 is added to them, what is the new mean? (a) 16 (b) 19 (c) 18 (d) 17
  30. 30.The mean of 4 numbers is 26. When the number 16 is added to them, what is the new mean? (a) 24 (b) 25 (c) 21 (d) 26
  31. 31.The mean of 3 numbers is 27. When the number 35 is added to them, what is the new mean? (a) 30 (b) 29 (c) 27 (d) 31
  32. 32.What is the mean of 20, 14, 13, 8, 4 and 25? (a) 12 (b) 14 (c) 13 (d) 15
  33. 33.The mean of 8 numbers is 39. When the number 57 is added to them, what is the new mean? (a) 48 (b) 41 (c) 39 (d) 42
  34. 34.What is the mode of 2, 2, 5, 9, 12, 2 and 12? (a) 9 (b) 12 (c) 5 (d) 2
  35. 35.The mean of 5 numbers is 25. When the number 7 is added to them, what is the new mean? (a) 16 (b) 22 (c) 25 (d) 23
  36. 36.The mean of 7 numbers is 35. When the number 51 is added to them, what is the new mean? (a) 35 (b) 43 (c) 37 (d) 38
  37. 37.What is the mode of 6, 20, 12, 12, 6, 12 and 5? (a) 5 (b) 6 (c) 20 (d) 12
  38. 38.What is the mode of 12, 15, 10, 11, 11, 10 and 10? (a) 10 (b) 12 (c) 11 (d) 15
  39. 39.What is the mean of 4, 7, 5 and 20? (a) 12 (b) 8 (c) 10 (d) 9
  40. 40.What is the mode of 6, 17, 3, 8, 6, 8 and 8? (a) 8 (b) 3 (c) 6 (d) 17

Answer key

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

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