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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 87 · 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 11, 10, 17, 19, 10, 10 and 17? (a) 19 (b) 11 (c) 10 (d) 17
  2. 2.What is the median of 10, 5, 1, 24 and 3? (a) 10 (b) 5 (c) 1 (d) 3
  3. 3.What is the median of 14, 7, 32, 5 and 30? (a) 32 (b) 30 (c) 14 (d) 7
  4. 4.What is the mode of 20, 20, 14, 8, 9, 20 and 9? (a) 9 (b) 8 (c) 14 (d) 20
  5. 5.What is the mean of 3, 18, 17, 18, 15 and 13? (a) 12 (b) 14 (c) 13 (d) 15
  6. 6.What is the median of 24, 34, 14, 15 and 21? (a) 21 (b) 14 (c) 24 (d) 15
  7. 7.What is the mean of 18, 12, 11 and 15? (a) 13 (b) 14 (c) 16 (d) 15
  8. 8.What is the mean of 13, 5, 15, 16, 6 and 11? (a) 10 (b) 12 (c) 11 (d) 13
  9. 9.The mean of 5 numbers is 35. When the number 23 is added to them, what is the new mean? (a) 29 (b) 35 (c) 34 (d) 33
  10. 10.The mean of 8 numbers is 31. When the number 4 is added to them, what is the new mean? (a) 31 (b) 29 (c) 28 (d) 27
  11. 11.What is the mean of 5, 3, 6, 12 and 19? (a) 10 (b) 8 (c) 9 (d) 11
  12. 12.What is the mode of 9, 4, 9, 1, 4, 5 and 4? (a) 5 (b) 4 (c) 1 (d) 9
  13. 13.What is the median of 6, 40, 18, 29 and 13? (a) 18 (b) 13 (c) 19 (d) 29
  14. 14.What is the mode of 19, 19, 15, 19, 7, 5 and 5? (a) 7 (b) 19 (c) 15 (d) 5
  15. 15.The mean of 3 numbers is 17. When the number 33 is added to them, what is the new mean? (a) 17 (b) 22 (c) 25 (d) 21
  16. 16.What is the mean of 4, 5, 12, 6, 2 and 19? (a) 8 (b) 7 (c) 10 (d) 9
  17. 17.The mean of 6 numbers is 15. When the number 8 is added to them, what is the new mean? (a) 16 (b) 13 (c) 15 (d) 14
  18. 18.What is the mean of 3, 9, 12 and 4? (a) 9 (b) 8 (c) 7 (d) 6
  19. 19.What is the mode of 19, 4, 6, 19, 19, 6 and 15? (a) 19 (b) 4 (c) 15 (d) 6
  20. 20.What is the mode of 1, 15, 8, 15, 4, 15 and 4? (a) 4 (b) 8 (c) 15 (d) 1
  21. 21.What is the mode of 7, 7, 4, 7, 4, 13 and 11? (a) 7 (b) 4 (c) 13 (d) 11
  22. 22.The mean of 7 numbers is 37. When the number 5 is added to them, what is the new mean? (a) 37 (b) 33 (c) 34 (d) 21
  23. 23.What is the mode of 14, 14, 15, 3, 18, 18 and 14? (a) 18 (b) 3 (c) 14 (d) 15
  24. 24.What is the mode of 9, 4, 9, 1, 9, 4 and 16? (a) 4 (b) 1 (c) 9 (d) 16
  25. 25.What is the mode of 16, 16, 17, 5, 4, 17 and 16? (a) 17 (b) 4 (c) 5 (d) 16
  26. 26.What is the mean of 17, 17, 11, 9 and 16? (a) 15 (b) 13 (c) 16 (d) 14
  27. 27.The mean of 9 numbers is 19. When the number 49 is added to them, what is the new mean? (a) 22 (b) 19 (c) 23 (d) 34
  28. 28.What is the mode of 15, 15, 19, 19, 6, 5 and 15? (a) 5 (b) 15 (c) 19 (d) 6
  29. 29.What is the mode of 6, 10, 19, 10, 19, 8 and 10? (a) 8 (b) 10 (c) 6 (d) 19
  30. 30.What is the mode of 6, 6, 3, 19, 12, 12 and 12? (a) 6 (b) 3 (c) 19 (d) 12
  31. 31.What is the mean of 2, 15, 13 and 6? (a) 10 (b) 9 (c) 8 (d) 12
  32. 32.What is the median of 7, 33, 22, 24 and 37? (a) 25 (b) 22 (c) 24 (d) 33
  33. 33.The mean of 6 numbers is 10. When the number 17 is added to them, what is the new mean? (a) 11 (b) 13 (c) 12 (d) 10
  34. 34.What is the median of 18, 30, 23, 14, 21, 6 and 26? (a) 18 (b) 23 (c) 21 (d) 14
  35. 35.What is the mode of 12, 12, 4, 12, 10, 11 and 11? (a) 12 (b) 10 (c) 11 (d) 4
  36. 36.What is the median of 3, 14, 34, 15, 25, 38 and 5? (a) 25 (b) 15 (c) 14 (d) 16
  37. 37.The mean of 5 numbers is 24. When the number 12 is added to them, what is the new mean? (a) 23 (b) 18 (c) 22 (d) 24
  38. 38.The mean of 3 numbers is 30. When the number 18 is added to them, what is the new mean? (a) 28 (b) 27 (c) 30 (d) 24
  39. 39.What is the mean of 6, 13, 13 and 12? (a) 12 (b) 11 (c) 10 (d) 13
  40. 40.What is the mode of 12, 17, 1, 6, 6, 1 and 6? (a) 1 (b) 6 (c) 12 (d) 17

Answer key

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

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