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Mean Median Mode Worksheet for Maths Olympiad

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

Answer key

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

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