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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 716 · 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 6, 19, 9, 13, 2 and 11? (a) 9 (b) 12 (c) 10 (d) 11
  2. 2.The mean of 9 numbers is 39. When the number 29 is added to them, what is the new mean? (a) 34 (b) 39 (c) 38 (d) 37
  3. 3.What is the mean of 3, 2, 15, 15, 8 and 11? (a) 11 (b) 8 (c) 9 (d) 10
  4. 4.The mean of 5 numbers is 24. When the number 6 is added to them, what is the new mean? (a) 22 (b) 24 (c) 21 (d) 15
  5. 5.What is the median of 9, 11, 36, 35 and 2? (a) 9 (b) 36 (c) 35 (d) 11
  6. 6.What is the mode of 10, 3, 18, 3, 3, 10 and 6? (a) 18 (b) 10 (c) 3 (d) 6
  7. 7.What is the median of 32, 11, 27, 38, 39, 6 and 34? (a) 38 (b) 27 (c) 32 (d) 34
  8. 8.What is the median of 11, 33, 29, 25, 24, 22 and 18? (a) 24 (b) 25 (c) 22 (d) 23
  9. 9.The mean of 3 numbers is 38. When the number 46 is added to them, what is the new mean? (a) 40 (b) 38 (c) 42 (d) 41
  10. 10.What is the median of 39, 35, 23, 37, 20, 27 and 4? (a) 23 (b) 35 (c) 27 (d) 37
  11. 11.The mean of 4 numbers is 21. When the number 1 is added to them, what is the new mean? (a) 21 (b) 11 (c) 18 (d) 17
  12. 12.What is the median of 11, 24, 26, 28 and 27? (a) 24 (b) 25 (c) 26 (d) 27
  13. 13.What is the median of 9, 17, 4, 18 and 31? (a) 4 (b) 18 (c) 9 (d) 17
  14. 14.What is the median of 2, 22, 12, 25, 6, 40 and 10? (a) 22 (b) 25 (c) 12 (d) 10
  15. 15.The mean of 6 numbers is 34. When the number 48 is added to them, what is the new mean? (a) 41 (b) 36 (c) 37 (d) 34
  16. 16.What is the mean of 14, 3, 3, 16 and 14? (a) 11 (b) 12 (c) 9 (d) 10
  17. 17.What is the mean of 19, 4, 3, 11 and 8? (a) 8 (b) 10 (c) 11 (d) 9
  18. 18.The mean of 7 numbers is 34. When the number 58 is added to them, what is the new mean? (a) 34 (b) 37 (c) 46 (d) 38
  19. 19.What is the mean of 14, 14, 4 and 12? (a) 12 (b) 13 (c) 10 (d) 11
  20. 20.What is the median of 37, 26, 3, 14 and 18? (a) 14 (b) 3 (c) 18 (d) 26
  21. 21.What is the mode of 19, 5, 12, 18, 19, 19 and 5? (a) 18 (b) 12 (c) 19 (d) 5
  22. 22.The mean of 5 numbers is 38. When the number 14 is added to them, what is the new mean? (a) 26 (b) 35 (c) 38 (d) 34
  23. 23.What is the mean of 7, 11, 19 and 19? (a) 15 (b) 16 (c) 14 (d) 13
  24. 24.The mean of 4 numbers is 30. When the number 10 is added to them, what is the new mean? (a) 26 (b) 30 (c) 27 (d) 20
  25. 25.What is the mode of 16, 12, 17, 17, 5, 12 and 12? (a) 5 (b) 12 (c) 17 (d) 16
  26. 26.What is the mode of 19, 15, 14, 19, 19, 17 and 17? (a) 14 (b) 15 (c) 17 (d) 19
  27. 27.The mean of 3 numbers is 19. When the number 3 is added to them, what is the new mean? (a) 19 (b) 11 (c) 16 (d) 15
  28. 28.What is the median of 8, 31, 11, 10 and 5? (a) 13 (b) 8 (c) 11 (d) 10
  29. 29.What is the mode of 12, 14, 1, 1, 12, 12 and 15? (a) 15 (b) 12 (c) 1 (d) 14
  30. 30.What is the mean of 15, 7, 16, 12 and 10? (a) 10 (b) 15 (c) 13 (d) 12
  31. 31.What is the mode of 2, 18, 1, 8, 18, 1 and 18? (a) 2 (b) 18 (c) 8 (d) 1
  32. 32.What is the mean of 16, 14, 5, 7, 18 and 18? (a) 12 (b) 13 (c) 15 (d) 14
  33. 33.What is the median of 39, 22, 7, 9, 26, 25 and 23? (a) 23 (b) 25 (c) 9 (d) 22
  34. 34.What is the mean of 9, 4, 2, 16 and 4? (a) 7 (b) 9 (c) 8 (d) 6
  35. 35.What is the median of 40, 5, 7, 8, 14, 37 and 6? (a) 8 (b) 7 (c) 9 (d) 14
  36. 36.What is the median of 26, 4, 34, 24 and 5? (a) 34 (b) 24 (c) 26 (d) 5
  37. 37.What is the mean of 13, 5, 6 and 16? (a) 10 (b) 8 (c) 9 (d) 11
  38. 38.The mean of 4 numbers is 16. When the number 21 is added to them, what is the new mean? (a) 16 (b) 17 (c) 18 (d) 19
  39. 39.What is the mean of 13, 20, 2 and 13? (a) 16 (b) 11 (c) 13 (d) 12
  40. 40.What is the mean of 14, 4, 10 and 8? (a) 8 (b) 9 (c) 10 (d) 12

Answer key

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

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