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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 612 · 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 median of 12, 13, 21, 10, 23, 2 and 30? (a) 12 (b) 21 (c) 10 (d) 13
  2. 2.What is the median of 13, 23, 1, 34, 26, 12 and 21? (a) 23 (b) 34 (c) 13 (d) 21
  3. 3.The mean of 5 numbers is 17. When the number 35 is added to them, what is the new mean? (a) 20 (b) 21 (c) 17 (d) 26
  4. 4.What is the mean of 4, 4, 14, 3 and 5? (a) 8 (b) 7 (c) 6 (d) 5
  5. 5.What is the mean of 16, 11, 2, 3 and 13? (a) 8 (b) 10 (c) 9 (d) 11
  6. 6.What is the median of 24, 19, 36, 4, 30, 25 and 38? (a) 4 (b) 30 (c) 25 (d) 24
  7. 7.What is the median of 10, 22, 14, 28, 38, 11 and 12? (a) 12 (b) 22 (c) 28 (d) 14
  8. 8.What is the median of 18, 33, 7, 17 and 4? (a) 17 (b) 18 (c) 16 (d) 7
  9. 9.What is the mean of 12, 7, 14 and 7? (a) 8 (b) 11 (c) 9 (d) 10
  10. 10.The mean of 6 numbers is 39. When the number 11 is added to them, what is the new mean? (a) 25 (b) 35 (c) 36 (d) 39
  11. 11.The mean of 9 numbers is 18. When the number 58 is added to them, what is the new mean? (a) 18 (b) 23 (c) 38 (d) 22
  12. 12.What is the mode of 10, 11, 11, 11, 7, 7 and 4? (a) 10 (b) 11 (c) 4 (d) 7
  13. 13.What is the mean of 6, 11, 19 and 8? (a) 12 (b) 11 (c) 10 (d) 13
  14. 14.The mean of 8 numbers is 27. When the number 45 is added to them, what is the new mean? (a) 30 (b) 36 (c) 27 (d) 29
  15. 15.What is the mode of 9, 18, 12, 11, 12, 9 and 12? (a) 9 (b) 11 (c) 18 (d) 12
  16. 16.What is the mode of 4, 19, 19, 4, 1, 19 and 10? (a) 10 (b) 4 (c) 1 (d) 19
  17. 17.What is the mean of 9, 5, 7, 10, 3 and 14? (a) 8 (b) 7 (c) 10 (d) 9
  18. 18.The mean of 3 numbers is 18. When the number 30 is added to them, what is the new mean? (a) 18 (b) 21 (c) 22 (d) 24
  19. 19.What is the mode of 18, 7, 18, 7, 10, 7 and 5? (a) 7 (b) 10 (c) 18 (d) 5
  20. 20.What is the mean of 3, 20, 13 and 8? (a) 13 (b) 11 (c) 12 (d) 10
  21. 21.What is the median of 12, 14, 23, 26, 9, 11 and 32? (a) 14 (b) 12 (c) 23 (d) 26
  22. 22.The mean of 7 numbers is 33. When the number 41 is added to them, what is the new mean? (a) 37 (b) 35 (c) 33 (d) 34
  23. 23.What is the mode of 6, 6, 16, 8, 8, 18 and 6? (a) 6 (b) 16 (c) 18 (d) 8
  24. 24.What is the mean of 6, 15, 9, 5, 11 and 20? (a) 13 (b) 10 (c) 11 (d) 12
  25. 25.What is the mode of 14, 6, 6, 5, 5, 5 and 7? (a) 6 (b) 14 (c) 7 (d) 5
  26. 26.The mean of 6 numbers is 26. When the number 47 is added to them, what is the new mean? (a) 29 (b) 26 (c) 30 (d) 28
  27. 27.What is the median of 6, 32, 1, 13 and 21? (a) 13 (b) 21 (c) 6 (d) 1
  28. 28.What is the mean of 6, 2, 11, 17, 15 and 3? (a) 8 (b) 9 (c) 10 (d) 11
  29. 29.What is the mean of 14, 13, 14, 5 and 24? (a) 15 (b) 16 (c) 13 (d) 14
  30. 30.The mean of 3 numbers is 15. When the number 23 is added to them, what is the new mean? (a) 19 (b) 15 (c) 18 (d) 17
  31. 31.What is the mean of 8, 2, 14, 5 and 11? (a) 9 (b) 7 (c) 8 (d) 10
  32. 32.The mean of 3 numbers is 12. When the number 28 is added to them, what is the new mean? (a) 20 (b) 16 (c) 12 (d) 17
  33. 33.What is the mode of 5, 6, 5, 19, 14, 14 and 14? (a) 14 (b) 19 (c) 5 (d) 6
  34. 34.What is the mean of 2, 8, 19, 19, 6 and 18? (a) 12 (b) 11 (c) 14 (d) 13
  35. 35.What is the mode of 16, 9, 7, 19, 9, 9 and 16? (a) 9 (b) 16 (c) 19 (d) 7
  36. 36.What is the median of 33, 12, 37, 40 and 3? (a) 33 (b) 25 (c) 37 (d) 12
  37. 37.What is the median of 31, 11, 3, 28 and 30? (a) 30 (b) 11 (c) 3 (d) 28
  38. 38.The mean of 4 numbers is 35. When the number 25 is added to them, what is the new mean? (a) 34 (b) 33 (c) 35 (d) 30
  39. 39.What is the mean of 6, 6, 9, 4, 11 and 18? (a) 10 (b) 9 (c) 11 (d) 8
  40. 40.What is the mode of 19, 19, 1, 19, 15, 7 and 15? (a) 7 (b) 19 (c) 1 (d) 15

Answer key

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

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