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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 305 · 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, 16, 11, 16, 19, 11 and 13? (a) 19 (b) 11 (c) 16 (d) 13
  2. 2.What is the mean of 18, 19, 20, 10, 15 and 14? (a) 15 (b) 18 (c) 17 (d) 16
  3. 3.What is the mode of 3, 20, 2, 2, 2, 5 and 5? (a) 3 (b) 5 (c) 20 (d) 2
  4. 4.What is the mean of 4, 3, 14, 7 and 7? (a) 7 (b) 9 (c) 8 (d) 6
  5. 5.What is the mode of 7, 1, 18, 18, 7, 13 and 7? (a) 1 (b) 7 (c) 13 (d) 18
  6. 6.What is the mode of 13, 4, 13, 19, 13, 4 and 18? (a) 4 (b) 18 (c) 13 (d) 19
  7. 7.The mean of 4 numbers is 26. When the number 21 is added to them, what is the new mean? (a) 26 (b) 27 (c) 24 (d) 25
  8. 8.The mean of 7 numbers is 11. When the number 3 is added to them, what is the new mean? (a) 9 (b) 7 (c) 10 (d) 11
  9. 9.What is the mean of 18, 11, 19, 8, 4 and 18? (a) 14 (b) 15 (c) 12 (d) 13
  10. 10.What is the mean of 8, 2, 19, 8, 6 and 17? (a) 10 (b) 12 (c) 9 (d) 11
  11. 11.What is the mean of 18, 20, 3 and 19? (a) 20 (b) 16 (c) 15 (d) 12
  12. 12.The mean of 7 numbers is 21. When the number 29 is added to them, what is the new mean? (a) 21 (b) 23 (c) 25 (d) 22
  13. 13.The mean of 6 numbers is 39. When the number 46 is added to them, what is the new mean? (a) 42 (b) 39 (c) 40 (d) 41
  14. 14.What is the mean of 9, 2, 9, 12 and 18? (a) 10 (b) 12 (c) 11 (d) 9
  15. 15.The mean of 5 numbers is 18. When the number 12 is added to them, what is the new mean? (a) 16 (b) 15 (c) 17 (d) 18
  16. 16.What is the mean of 18, 7, 3 and 16? (a) 12 (b) 13 (c) 10 (d) 11
  17. 17.The mean of 3 numbers is 25. When the number 17 is added to them, what is the new mean? (a) 24 (b) 21 (c) 23 (d) 25
  18. 18.What is the mean of 12, 14, 7, 11 and 21? (a) 14 (b) 15 (c) 12 (d) 13
  19. 19.What is the mean of 4, 16, 13 and 19? (a) 14 (b) 13 (c) 15 (d) 12
  20. 20.What is the mean of 18, 3, 2 and 21? (a) 13 (b) 12 (c) 10 (d) 11
  21. 21.The mean of 3 numbers is 11. When the number 15 is added to them, what is the new mean? (a) 14 (b) 12 (c) 11 (d) 13
  22. 22.What is the mode of 17, 7, 16, 8, 16, 17 and 16? (a) 7 (b) 8 (c) 17 (d) 16
  23. 23.What is the median of 38, 21, 27, 36 and 2? (a) 21 (b) 36 (c) 27 (d) 28
  24. 24.The mean of 3 numbers is 40. When the number 44 is added to them, what is the new mean? (a) 43 (b) 40 (c) 42 (d) 41
  25. 25.What is the mode of 17, 13, 11, 3, 13, 11 and 11? (a) 17 (b) 13 (c) 3 (d) 11
  26. 26.What is the mode of 10, 7, 10, 10, 3, 7 and 15? (a) 15 (b) 10 (c) 3 (d) 7
  27. 27.What is the median of 31, 33, 2, 5 and 15? (a) 15 (b) 2 (c) 5 (d) 31
  28. 28.What is the median of 35, 1, 14, 21 and 30? (a) 30 (b) 14 (c) 21 (d) 22
  29. 29.What is the mode of 18, 12, 2, 9, 9, 18 and 9? (a) 9 (b) 12 (c) 2 (d) 18
  30. 30.What is the median of 28, 11, 15, 19, 33, 29 and 7? (a) 28 (b) 20 (c) 15 (d) 19
  31. 31.What is the median of 31, 23, 12, 4 and 3? (a) 12 (b) 13 (c) 4 (d) 23
  32. 32.What is the median of 40, 30, 19, 32, 22, 29 and 38? (a) 29 (b) 32 (c) 30 (d) 31
  33. 33.The mean of 3 numbers is 24. When the number 20 is added to them, what is the new mean? (a) 22 (b) 25 (c) 23 (d) 24
  34. 34.What is the mode of 7, 1, 19, 12, 19, 12 and 19? (a) 7 (b) 12 (c) 19 (d) 1
  35. 35.The mean of 5 numbers is 28. When the number 40 is added to them, what is the new mean? (a) 30 (b) 28 (c) 34 (d) 31
  36. 36.The mean of 3 numbers is 34. When the number 30 is added to them, what is the new mean? (a) 35 (b) 32 (c) 34 (d) 33
  37. 37.What is the mode of 7, 20, 13, 12, 7, 13 and 7? (a) 12 (b) 7 (c) 20 (d) 13
  38. 38.What is the mode of 15, 20, 20, 20, 8, 17 and 15? (a) 15 (b) 8 (c) 20 (d) 17
  39. 39.What is the median of 7, 30, 28, 6 and 31? (a) 28 (b) 30 (c) 7 (d) 29
  40. 40.What is the mode of 18, 9, 1, 9, 1, 1 and 17? (a) 18 (b) 1 (c) 17 (d) 9

Answer key

  1. 11
  2. 16
  3. 2
  4. 7
  5. 7
  6. 13
  7. 25
  8. 10
  9. 13
  10. 10
  11. 15
  12. 22
  13. 40
  14. 10
  15. 17
  16. 11
  17. 23
  18. 13
  19. 13
  20. 11
  21. 12
  22. 16
  23. 27
  24. 41
  25. 11
  26. 10
  27. 15
  28. 21
  29. 9
  30. 19
  31. 12
  32. 30
  33. 23
  34. 19
  35. 30
  36. 33
  37. 7
  38. 20
  39. 28
  40. 1

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