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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 847 · 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 15, 17, 12, 2, 10 and 16? (a) 13 (b) 12 (c) 11 (d) 14
  2. 2.What is the mode of 2, 3, 17, 4, 3, 3 and 2? (a) 2 (b) 17 (c) 3 (d) 4
  3. 3.The mean of 6 numbers is 38. When the number 66 is added to them, what is the new mean? (a) 42 (b) 43 (c) 38 (d) 52
  4. 4.What is the mode of 15, 15, 15, 13, 8, 12 and 12? (a) 12 (b) 13 (c) 8 (d) 15
  5. 5.The mean of 9 numbers is 18. When the number 38 is added to them, what is the new mean? (a) 21 (b) 28 (c) 20 (d) 18
  6. 6.What is the mean of 10, 9, 19, 20 and 7? (a) 15 (b) 12 (c) 13 (d) 14
  7. 7.What is the mean of 12, 14, 15 and 7? (a) 11 (b) 12 (c) 13 (d) 16
  8. 8.What is the median of 31, 11, 22, 38 and 24? (a) 25 (b) 31 (c) 24 (d) 22
  9. 9.What is the mean of 9, 2, 9, 7 and 8? (a) 6 (b) 7 (c) 8 (d) 9
  10. 10.What is the mean of 5, 5, 9 and 17? (a) 12 (b) 8 (c) 10 (d) 9
  11. 11.What is the mean of 7, 8, 20, 14 and 6? (a) 12 (b) 10 (c) 11 (d) 13
  12. 12.What is the mean of 7, 19, 12, 6, 3 and 7? (a) 9 (b) 10 (c) 8 (d) 11
  13. 13.What is the median of 38, 23, 34, 9 and 31? (a) 23 (b) 31 (c) 27 (d) 34
  14. 14.What is the mean of 17, 15, 15 and 13? (a) 12 (b) 20 (c) 16 (d) 15
  15. 15.What is the median of 16, 10, 21, 25 and 39? (a) 22 (b) 25 (c) 21 (d) 16
  16. 16.The mean of 4 numbers is 15. When the number 30 is added to them, what is the new mean? (a) 19 (b) 15 (c) 18 (d) 17
  17. 17.The mean of 4 numbers is 28. When the number 43 is added to them, what is the new mean? (a) 28 (b) 30 (c) 31 (d) 32
  18. 18.What is the mode of 15, 18, 18, 18, 6, 15 and 3? (a) 3 (b) 6 (c) 15 (d) 18
  19. 19.What is the mean of 16, 2, 6, 6, 7 and 17? (a) 11 (b) 8 (c) 9 (d) 10
  20. 20.What is the mean of 6, 15, 17 and 6? (a) 12 (b) 10 (c) 11 (d) 13
  21. 21.What is the median of 17, 26, 30, 23, 35, 2 and 16? (a) 26 (b) 23 (c) 17 (d) 24
  22. 22.What is the mean of 4, 14, 20, 5 and 7? (a) 11 (b) 12 (c) 10 (d) 9
  23. 23.What is the mode of 15, 12, 5, 3, 3, 15 and 3? (a) 15 (b) 3 (c) 12 (d) 5
  24. 24.The mean of 9 numbers is 33. When the number 23 is added to them, what is the new mean? (a) 32 (b) 31 (c) 33 (d) 28
  25. 25.What is the mode of 10, 9, 18, 19, 19, 19 and 18? (a) 9 (b) 18 (c) 19 (d) 10
  26. 26.The mean of 3 numbers is 39. When the number 55 is added to them, what is the new mean? (a) 39 (b) 47 (c) 43 (d) 44
  27. 27.What is the median of 25, 19, 4, 29 and 35? (a) 29 (b) 25 (c) 19 (d) 4
  28. 28.What is the mean of 19, 9, 4, 16 and 7? (a) 12 (b) 11 (c) 13 (d) 10
  29. 29.What is the median of 14, 4, 28, 38 and 37? (a) 37 (b) 14 (c) 29 (d) 28
  30. 30.What is the median of 36, 21, 18, 9 and 30? (a) 30 (b) 18 (c) 22 (d) 21
  31. 31.What is the mode of 12, 18, 18, 1, 12, 12 and 2? (a) 2 (b) 12 (c) 18 (d) 1
  32. 32.What is the mode of 3, 15, 7, 15, 7, 5 and 15? (a) 3 (b) 7 (c) 5 (d) 15
  33. 33.What is the mode of 11, 2, 2, 15, 9, 9 and 9? (a) 15 (b) 2 (c) 11 (d) 9
  34. 34.What is the median of 12, 7, 37, 10 and 27? (a) 10 (b) 27 (c) 12 (d) 37
  35. 35.What is the mean of 7, 6, 19 and 20? (a) 13 (b) 14 (c) 15 (d) 12
  36. 36.What is the mode of 19, 17, 19, 3, 17, 20 and 19? (a) 20 (b) 17 (c) 19 (d) 3
  37. 37.What is the mean of 10, 4, 9 and 9? (a) 8 (b) 9 (c) 10 (d) 7
  38. 38.The mean of 8 numbers is 10. When the number 19 is added to them, what is the new mean? (a) 12 (b) 13 (c) 11 (d) 10
  39. 39.What is the median of 9, 3, 10, 21, 11, 13 and 24? (a) 11 (b) 10 (c) 13 (d) 21
  40. 40.What is the mean of 6, 16, 13, 18 and 7? (a) 12 (b) 15 (c) 10 (d) 13

Answer key

  1. 12
  2. 3
  3. 42
  4. 15
  5. 20
  6. 13
  7. 12
  8. 24
  9. 7
  10. 9
  11. 11
  12. 9
  13. 31
  14. 15
  15. 21
  16. 18
  17. 31
  18. 18
  19. 9
  20. 11
  21. 23
  22. 10
  23. 3
  24. 32
  25. 19
  26. 43
  27. 25
  28. 11
  29. 28
  30. 21
  31. 12
  32. 15
  33. 9
  34. 12
  35. 13
  36. 19
  37. 8
  38. 11
  39. 11
  40. 12

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