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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 190 · 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 6, 9, 16, 6, 16, 13 and 16? (a) 13 (b) 16 (c) 6 (d) 9
  2. 2.What is the mode of 9, 9, 10, 15, 6, 15 and 15? (a) 15 (b) 6 (c) 10 (d) 9
  3. 3.What is the mean of 6, 4, 20 and 14? (a) 13 (b) 11 (c) 10 (d) 12
  4. 4.The mean of 5 numbers is 25. When the number 1 is added to them, what is the new mean? (a) 21 (b) 25 (c) 22 (d) 13
  5. 5.What is the median of 36, 28, 11, 39, 35, 30 and 14? (a) 39 (b) 28 (c) 30 (d) 35
  6. 6.The mean of 4 numbers is 31. When the number 21 is added to them, what is the new mean? (a) 31 (b) 26 (c) 30 (d) 29
  7. 7.The mean of 5 numbers is 29. When the number 17 is added to them, what is the new mean? (a) 23 (b) 29 (c) 28 (d) 27
  8. 8.What is the mean of 12, 19, 15, 8, 13 and 11? (a) 12 (b) 15 (c) 13 (d) 14
  9. 9.What is the median of 9, 6, 8, 14, 5, 37 and 38? (a) 14 (b) 8 (c) 9 (d) 10
  10. 10.The mean of 3 numbers is 21. When the number 5 is added to them, what is the new mean? (a) 13 (b) 18 (c) 21 (d) 17
  11. 11.The mean of 6 numbers is 39. When the number 53 is added to them, what is the new mean? (a) 41 (b) 46 (c) 39 (d) 42
  12. 12.What is the mode of 2, 2, 4, 2, 14, 3 and 4? (a) 3 (b) 2 (c) 14 (d) 4
  13. 13.What is the median of 15, 16, 32, 22 and 40? (a) 32 (b) 25 (c) 16 (d) 22
  14. 14.What is the median of 15, 13, 9, 4 and 28? (a) 15 (b) 14 (c) 13 (d) 9
  15. 15.What is the median of 14, 3, 18, 25 and 37? (a) 25 (b) 14 (c) 18 (d) 19
  16. 16.The mean of 9 numbers is 23. When the number 13 is added to them, what is the new mean? (a) 23 (b) 22 (c) 18 (d) 21
  17. 17.What is the median of 3, 14, 31, 23 and 34? (a) 14 (b) 23 (c) 21 (d) 31
  18. 18.What is the mode of 8, 4, 8, 2, 2, 7 and 2? (a) 4 (b) 8 (c) 7 (d) 2
  19. 19.What is the mean of 9, 3, 8, 7 and 18? (a) 10 (b) 8 (c) 9 (d) 11
  20. 20.What is the mode of 1, 13, 16, 13, 13, 11 and 16? (a) 16 (b) 1 (c) 13 (d) 11
  21. 21.What is the median of 17, 18, 21, 31, 9, 20 and 3? (a) 17 (b) 18 (c) 20 (d) 31
  22. 22.What is the mean of 7, 15, 4 and 14? (a) 10 (b) 11 (c) 9 (d) 8
  23. 23.What is the mean of 4, 5, 9, 15 and 7? (a) 9 (b) 8 (c) 10 (d) 7
  24. 24.What is the median of 25, 26, 27, 33, 8, 17 and 9? (a) 25 (b) 33 (c) 17 (d) 26
  25. 25.What is the mean of 11, 20, 16 and 13? (a) 16 (b) 12 (c) 15 (d) 20
  26. 26.What is the mean of 6, 6, 10, 3, 9 and 14? (a) 10 (b) 8 (c) 9 (d) 7
  27. 27.What is the mean of 13, 10, 17, 19, 5 and 20? (a) 12 (b) 14 (c) 13 (d) 15
  28. 28.What is the mean of 16, 5, 6 and 9? (a) 8 (b) 9 (c) 12 (d) 10
  29. 29.The mean of 4 numbers is 13. When the number 18 is added to them, what is the new mean? (a) 13 (b) 15 (c) 16 (d) 14
  30. 30.The mean of 3 numbers is 19. When the number 35 is added to them, what is the new mean? (a) 24 (b) 19 (c) 23 (d) 27
  31. 31.What is the mean of 7, 14, 3 and 16? (a) 8 (b) 10 (c) 9 (d) 11
  32. 32.What is the mean of 5, 11, 7, 12, 15 and 22? (a) 13 (b) 11 (c) 12 (d) 14
  33. 33.What is the mode of 2, 8, 8, 3, 2, 18 and 2? (a) 18 (b) 3 (c) 8 (d) 2
  34. 34.What is the mode of 1, 8, 6, 4, 6, 6 and 1? (a) 8 (b) 1 (c) 4 (d) 6
  35. 35.What is the median of 23, 21, 29, 24, 32, 31 and 16? (a) 24 (b) 23 (c) 25 (d) 29
  36. 36.What is the mean of 4, 8, 2, 8 and 8? (a) 6 (b) 5 (c) 7 (d) 8
  37. 37.What is the mode of 17, 4, 4, 3, 4, 13 and 3? (a) 3 (b) 13 (c) 17 (d) 4
  38. 38.The mean of 3 numbers is 32. When the number 44 is added to them, what is the new mean? (a) 38 (b) 35 (c) 36 (d) 32
  39. 39.What is the mean of 8, 19, 3, 11 and 14? (a) 12 (b) 13 (c) 11 (d) 10
  40. 40.What is the mode of 8, 12, 12, 18, 15, 18 and 12? (a) 18 (b) 15 (c) 8 (d) 12

Answer key

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

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