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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 606 · 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 15, 15, 7, 7, 16, 7 and 13? (a) 15 (b) 7 (c) 13 (d) 16
  2. 2.What is the mode of 13, 1, 9, 1, 13, 1 and 2? (a) 13 (b) 1 (c) 2 (d) 9
  3. 3.What is the mean of 6, 17, 9 and 20? (a) 15 (b) 12 (c) 13 (d) 14
  4. 4.The mean of 3 numbers is 19. When the number 23 is added to them, what is the new mean? (a) 20 (b) 22 (c) 21 (d) 19
  5. 5.What is the mean of 16, 11, 18 and 7? (a) 12 (b) 14 (c) 15 (d) 13
  6. 6.What is the mean of 11, 18, 5, 2, 2 and 10? (a) 10 (b) 8 (c) 9 (d) 7
  7. 7.What is the mode of 20, 5, 5, 1, 19, 1 and 1? (a) 1 (b) 20 (c) 5 (d) 19
  8. 8.The mean of 4 numbers is 18. When the number 13 is added to them, what is the new mean? (a) 16 (b) 19 (c) 17 (d) 18
  9. 9.What is the mode of 1, 10, 10, 4, 4, 8 and 10? (a) 8 (b) 1 (c) 10 (d) 4
  10. 10.What is the mean of 4, 15, 9 and 16? (a) 13 (b) 10 (c) 11 (d) 12
  11. 11.What is the mode of 14, 17, 4, 17, 17, 2 and 14? (a) 14 (b) 17 (c) 2 (d) 4
  12. 12.What is the mean of 6, 14, 17 and 19? (a) 15 (b) 14 (c) 16 (d) 13
  13. 13.What is the mean of 11, 14, 13, 20 and 7? (a) 15 (b) 14 (c) 12 (d) 13
  14. 14.What is the mode of 4, 18, 4, 2, 4, 19 and 19? (a) 2 (b) 4 (c) 19 (d) 18
  15. 15.What is the median of 13, 31, 26, 38 and 17? (a) 25 (b) 17 (c) 31 (d) 26
  16. 16.The mean of 3 numbers is 24. When the number 20 is added to them, what is the new mean? (a) 23 (b) 22 (c) 24 (d) 25
  17. 17.What is the median of 10, 38, 34, 5 and 26? (a) 27 (b) 10 (c) 26 (d) 34
  18. 18.The mean of 6 numbers is 13. When the number 20 is added to them, what is the new mean? (a) 13 (b) 16 (c) 15 (d) 14
  19. 19.What is the mode of 2, 3, 13, 13, 3, 16 and 3? (a) 3 (b) 16 (c) 13 (d) 2
  20. 20.What is the mean of 10, 10, 2 and 18? (a) 8 (b) 10 (c) 11 (d) 9
  21. 21.What is the mode of 20, 14, 20, 6, 7, 20 and 6? (a) 7 (b) 14 (c) 6 (d) 20
  22. 22.What is the median of 33, 12, 40, 20 and 38? (a) 33 (b) 38 (c) 20 (d) 40
  23. 23.What is the mode of 7, 7, 7, 5, 3, 6 and 6? (a) 5 (b) 3 (c) 6 (d) 7
  24. 24.What is the mean of 13, 13, 8, 20, 14 and 22? (a) 14 (b) 16 (c) 15 (d) 18
  25. 25.What is the mean of 12, 9, 17, 10, 13 and 17? (a) 13 (b) 14 (c) 12 (d) 15
  26. 26.What is the median of 30, 39, 23, 2 and 17? (a) 24 (b) 30 (c) 17 (d) 23
  27. 27.What is the mode of 14, 2, 5, 5, 2, 5 and 12? (a) 2 (b) 14 (c) 5 (d) 12
  28. 28.What is the median of 11, 26, 29, 34 and 6? (a) 27 (b) 29 (c) 11 (d) 26
  29. 29.What is the median of 19, 25, 36, 12, 38, 32 and 23? (a) 12 (b) 32 (c) 23 (d) 25
  30. 30.The mean of 7 numbers is 25. When the number 33 is added to them, what is the new mean? (a) 27 (b) 25 (c) 26 (d) 29
  31. 31.What is the mean of 9, 5, 20 and 10? (a) 11 (b) 13 (c) 10 (d) 12
  32. 32.What is the mean of 9, 15, 2 and 6? (a) 8 (b) 7 (c) 9 (d) 10
  33. 33.What is the mean of 2, 16, 8, 19 and 20? (a) 15 (b) 12 (c) 13 (d) 14
  34. 34.What is the mode of 20, 2, 11, 2, 11, 11 and 19? (a) 2 (b) 19 (c) 11 (d) 20
  35. 35.The mean of 8 numbers is 24. When the number 51 is added to them, what is the new mean? (a) 26 (b) 27 (c) 28 (d) 24
  36. 36.What is the mode of 17, 10, 20, 10, 2, 10 and 20? (a) 17 (b) 20 (c) 2 (d) 10
  37. 37.The mean of 9 numbers is 38. When the number 68 is added to them, what is the new mean? (a) 53 (b) 38 (c) 42 (d) 41
  38. 38.What is the mean of 7, 10, 16, 16 and 11? (a) 15 (b) 10 (c) 13 (d) 12
  39. 39.The mean of 8 numbers is 29. When the number 11 is added to them, what is the new mean? (a) 20 (b) 29 (c) 27 (d) 28
  40. 40.What is the mean of 8, 12, 13 and 19? (a) 13 (b) 14 (c) 15 (d) 12

Answer key

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

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