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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 670 · 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 3, 12, 9, 3, 1, 9 and 9? (a) 3 (b) 1 (c) 9 (d) 12
  2. 2.What is the mean of 3, 2, 8, 9 and 3? (a) 7 (b) 5 (c) 6 (d) 4
  3. 3.What is the mode of 11, 6, 14, 6, 11, 5 and 11? (a) 11 (b) 6 (c) 5 (d) 14
  4. 4.What is the mean of 10, 20, 5, 3, 5 and 23? (a) 11 (b) 12 (c) 13 (d) 10
  5. 5.The mean of 7 numbers is 19. When the number 11 is added to them, what is the new mean? (a) 17 (b) 18 (c) 19 (d) 15
  6. 6.What is the mean of 20, 6, 16, 3 and 20? (a) 12 (b) 13 (c) 14 (d) 15
  7. 7.The mean of 9 numbers is 15. When the number 55 is added to them, what is the new mean? (a) 15 (b) 20 (c) 35 (d) 19
  8. 8.What is the mean of 13, 14, 14, 15 and 19? (a) 16 (b) 14 (c) 15 (d) 17
  9. 9.What is the mean of 15, 2, 8, 9 and 6? (a) 8 (b) 10 (c) 9 (d) 7
  10. 10.What is the median of 3, 10, 1, 9 and 19? (a) 1 (b) 10 (c) 9 (d) 3
  11. 11.What is the median of 5, 10, 8, 7 and 30? (a) 10 (b) 12 (c) 8 (d) 7
  12. 12.What is the mode of 14, 14, 1, 10, 19, 10 and 10? (a) 1 (b) 19 (c) 10 (d) 14
  13. 13.The mean of 3 numbers is 33. When the number 49 is added to them, what is the new mean? (a) 37 (b) 41 (c) 38 (d) 33
  14. 14.The mean of 6 numbers is 18. When the number 11 is added to them, what is the new mean? (a) 17 (b) 18 (c) 19 (d) 16
  15. 15.What is the median of 23, 17, 21, 36 and 24? (a) 22 (b) 21 (c) 24 (d) 23
  16. 16.What is the mode of 2, 12, 17, 2, 10, 2 and 12? (a) 17 (b) 10 (c) 2 (d) 12
  17. 17.What is the median of 35, 24, 11, 13 and 26? (a) 26 (b) 24 (c) 11 (d) 13
  18. 18.The mean of 8 numbers is 32. When the number 23 is added to them, what is the new mean? (a) 31 (b) 33 (c) 30 (d) 32
  19. 19.What is the mode of 4, 10, 12, 17, 12, 4 and 4? (a) 12 (b) 4 (c) 10 (d) 17
  20. 20.What is the mean of 2, 6, 10, 4, 2 and 18? (a) 7 (b) 8 (c) 9 (d) 6
  21. 21.The mean of 4 numbers is 34. When the number 29 is added to them, what is the new mean? (a) 32 (b) 34 (c) 35 (d) 33
  22. 22.What is the mode of 2, 2, 11, 1, 20, 2 and 11? (a) 2 (b) 1 (c) 11 (d) 20
  23. 23.What is the mode of 4, 16, 10, 16, 10, 16 and 14? (a) 4 (b) 14 (c) 16 (d) 10
  24. 24.The mean of 5 numbers is 22. When the number 16 is added to them, what is the new mean? (a) 20 (b) 22 (c) 19 (d) 21
  25. 25.What is the mean of 4, 14, 15, 7 and 10? (a) 12 (b) 11 (c) 10 (d) 9
  26. 26.The mean of 3 numbers is 37. When the number 29 is added to them, what is the new mean? (a) 37 (b) 33 (c) 35 (d) 36
  27. 27.What is the median of 14, 15, 40, 18 and 12? (a) 14 (b) 15 (c) 18 (d) 40
  28. 28.What is the mean of 3, 15, 20, 12 and 10? (a) 12 (b) 10 (c) 15 (d) 13
  29. 29.The mean of 3 numbers is 13. When the number 1 is added to them, what is the new mean? (a) 10 (b) 11 (c) 13 (d) 7
  30. 30.What is the mean of 2, 7, 20, 3, 5 and 5? (a) 6 (b) 9 (c) 7 (d) 8
  31. 31.What is the mean of 5, 17, 16 and 2? (a) 8 (b) 11 (c) 9 (d) 10
  32. 32.The mean of 3 numbers is 36. When the number 24 is added to them, what is the new mean? (a) 30 (b) 33 (c) 34 (d) 36
  33. 33.The mean of 4 numbers is 29. When the number 14 is added to them, what is the new mean? (a) 27 (b) 26 (c) 25 (d) 29
  34. 34.What is the mean of 14, 8, 2 and 16? (a) 8 (b) 11 (c) 9 (d) 10
  35. 35.What is the mean of 16, 4, 15, 18, 6 and 19? (a) 12 (b) 14 (c) 13 (d) 15
  36. 36.What is the median of 8, 39, 26, 18 and 34? (a) 18 (b) 25 (c) 26 (d) 34
  37. 37.What is the mode of 6, 6, 3, 6, 15, 3 and 18? (a) 15 (b) 3 (c) 18 (d) 6
  38. 38.What is the mean of 5, 16, 18 and 5? (a) 12 (b) 10 (c) 13 (d) 11
  39. 39.What is the mean of 6, 5, 4 and 17? (a) 10 (b) 7 (c) 8 (d) 9
  40. 40.The mean of 7 numbers is 13. When the number 5 is added to them, what is the new mean? (a) 11 (b) 12 (c) 9 (d) 13

Answer key

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

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