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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 424 · 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 mean of 11, 18, 20 and 7? (a) 16 (b) 15 (c) 13 (d) 14
  2. 2.What is the mode of 6, 19, 19, 19, 14, 14 and 2? (a) 14 (b) 6 (c) 19 (d) 2
  3. 3.What is the median of 7, 32, 33, 39, 29, 19 and 23? (a) 32 (b) 39 (c) 26 (d) 29
  4. 4.The mean of 3 numbers is 37. When the number 29 is added to them, what is the new mean? (a) 33 (b) 36 (c) 37 (d) 35
  5. 5.What is the mode of 17, 5, 17, 13, 18, 17 and 5? (a) 5 (b) 18 (c) 17 (d) 13
  6. 6.The mean of 8 numbers is 26. When the number 62 is added to them, what is the new mean? (a) 44 (b) 31 (c) 30 (d) 26
  7. 7.What is the mode of 16, 6, 6, 8, 6, 15 and 8? (a) 16 (b) 15 (c) 6 (d) 8
  8. 8.What is the mean of 12, 13, 12 and 11? (a) 12 (b) 13 (c) 11 (d) 16
  9. 9.What is the median of 10, 22, 4, 19, 39, 7 and 11? (a) 19 (b) 10 (c) 16 (d) 11
  10. 10.What is the mean of 15, 18, 12, 16, 4 and 19? (a) 15 (b) 13 (c) 12 (d) 14
  11. 11.What is the mean of 7, 7, 2 and 12? (a) 6 (b) 7 (c) 9 (d) 8
  12. 12.What is the mean of 6, 16, 11 and 11? (a) 11 (b) 12 (c) 13 (d) 10
  13. 13.What is the mean of 3, 13, 16 and 20? (a) 12 (b) 13 (c) 14 (d) 15
  14. 14.What is the mode of 17, 7, 6, 5, 6, 17 and 6? (a) 17 (b) 7 (c) 6 (d) 5
  15. 15.What is the mean of 14, 7, 18 and 21? (a) 15 (b) 12 (c) 20 (d) 16
  16. 16.What is the mode of 2, 13, 5, 13, 5, 10 and 13? (a) 10 (b) 2 (c) 5 (d) 13
  17. 17.What is the median of 9, 12, 29, 23, 14, 33 and 26? (a) 26 (b) 23 (c) 14 (d) 24
  18. 18.The mean of 4 numbers is 30. When the number 10 is added to them, what is the new mean? (a) 20 (b) 26 (c) 30 (d) 27
  19. 19.What is the median of 19, 3, 16, 30 and 9? (a) 19 (b) 9 (c) 16 (d) 17
  20. 20.What is the mean of 13, 6, 9, 13 and 19? (a) 12 (b) 15 (c) 10 (d) 13
  21. 21.The mean of 5 numbers is 32. When the number 14 is added to them, what is the new mean? (a) 29 (b) 32 (c) 23 (d) 30
  22. 22.What is the mean of 9, 11, 6 and 18? (a) 11 (b) 13 (c) 10 (d) 12
  23. 23.What is the mode of 14, 18, 7, 14, 3, 3 and 3? (a) 14 (b) 18 (c) 7 (d) 3
  24. 24.What is the mode of 17, 5, 18, 10, 10, 10 and 5? (a) 17 (b) 18 (c) 5 (d) 10
  25. 25.The mean of 9 numbers is 27. When the number 17 is added to them, what is the new mean? (a) 22 (b) 26 (c) 25 (d) 27
  26. 26.The mean of 3 numbers is 21. When the number 33 is added to them, what is the new mean? (a) 25 (b) 24 (c) 27 (d) 21
  27. 27.What is the median of 35, 28, 7, 36, 19, 11 and 37? (a) 36 (b) 19 (c) 28 (d) 35
  28. 28.What is the median of 23, 34, 4, 39, 2, 36 and 5? (a) 34 (b) 23 (c) 5 (d) 39
  29. 29.What is the mode of 2, 16, 1, 16, 20, 1 and 1? (a) 16 (b) 2 (c) 20 (d) 1
  30. 30.The mean of 4 numbers is 19. When the number 39 is added to them, what is the new mean? (a) 19 (b) 23 (c) 29 (d) 24
  31. 31.The mean of 3 numbers is 27. When the number 23 is added to them, what is the new mean? (a) 27 (b) 28 (c) 25 (d) 26
  32. 32.What is the mode of 13, 4, 2, 4, 6, 6 and 4? (a) 2 (b) 6 (c) 4 (d) 13
  33. 33.What is the mode of 4, 3, 1, 1, 4, 4 and 13? (a) 3 (b) 1 (c) 13 (d) 4
  34. 34.What is the mode of 10, 2, 18, 6, 10, 18 and 10? (a) 6 (b) 10 (c) 2 (d) 18
  35. 35.The mean of 9 numbers is 15. When the number 45 is added to them, what is the new mean? (a) 30 (b) 18 (c) 19 (d) 15
  36. 36.The mean of 5 numbers is 20. When the number 8 is added to them, what is the new mean? (a) 14 (b) 18 (c) 20 (d) 19
  37. 37.What is the mean of 15, 14, 20, 4, 8 and 5? (a) 12 (b) 10 (c) 11 (d) 13
  38. 38.What is the mean of 6, 3, 3 and 20? (a) 10 (b) 7 (c) 9 (d) 8
  39. 39.What is the mode of 5, 16, 14, 5, 5, 8 and 16? (a) 8 (b) 16 (c) 14 (d) 5
  40. 40.The mean of 9 numbers is 17. When the number 7 is added to them, what is the new mean? (a) 15 (b) 16 (c) 17 (d) 12

Answer key

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

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