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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 107 · 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 median of 11, 33, 3, 2, 12, 17 and 14? (a) 14 (b) 12 (c) 2 (d) 11
  2. 2.What is the mean of 3, 3, 7 and 11? (a) 7 (b) 8 (c) 6 (d) 5
  3. 3.The mean of 6 numbers is 19. When the number 33 is added to them, what is the new mean? (a) 26 (b) 19 (c) 22 (d) 21
  4. 4.What is the median of 24, 4, 12, 6 and 3? (a) 12 (b) 7 (c) 4 (d) 6
  5. 5.What is the mean of 20, 19, 20, 20, 2 and 15? (a) 16 (b) 18 (c) 17 (d) 15
  6. 6.What is the median of 15, 9, 11, 28, 8, 39 and 6? (a) 15 (b) 9 (c) 11 (d) 28
  7. 7.The mean of 5 numbers is 15. When the number 21 is added to them, what is the new mean? (a) 17 (b) 16 (c) 15 (d) 18
  8. 8.The mean of 7 numbers is 33. When the number 17 is added to them, what is the new mean? (a) 32 (b) 25 (c) 31 (d) 33
  9. 9.What is the mean of 17, 3, 11, 17 and 22? (a) 15 (b) 13 (c) 14 (d) 16
  10. 10.What is the mean of 14, 20, 16 and 10? (a) 15 (b) 16 (c) 20 (d) 12
  11. 11.What is the mode of 20, 9, 4, 4, 4, 7 and 9? (a) 20 (b) 9 (c) 7 (d) 4
  12. 12.What is the median of 20, 40, 5, 18 and 35? (a) 18 (b) 20 (c) 35 (d) 5
  13. 13.The mean of 9 numbers is 21. When the number 31 is added to them, what is the new mean? (a) 21 (b) 22 (c) 26 (d) 23
  14. 14.What is the median of 2, 14, 36, 35 and 16? (a) 16 (b) 35 (c) 14 (d) 36
  15. 15.The mean of 5 numbers is 21. When the number 27 is added to them, what is the new mean? (a) 24 (b) 21 (c) 23 (d) 22
  16. 16.What is the median of 35, 20, 8, 29, 32, 27 and 3? (a) 20 (b) 29 (c) 22 (d) 27
  17. 17.What is the mean of 16, 13, 11 and 8? (a) 12 (b) 16 (c) 11 (d) 13
  18. 18.What is the median of 13, 18, 28, 1 and 31? (a) 18 (b) 28 (c) 19 (d) 13
  19. 19.What is the median of 34, 38, 7, 31 and 24? (a) 24 (b) 31 (c) 34 (d) 7
  20. 20.What is the mode of 3, 1, 1, 19, 1, 19 and 15? (a) 15 (b) 1 (c) 3 (d) 19
  21. 21.What is the mode of 3, 3, 17, 17, 12, 3 and 1? (a) 12 (b) 1 (c) 3 (d) 17
  22. 22.What is the median of 13, 30, 18, 7, 9, 33 and 39? (a) 30 (b) 7 (c) 13 (d) 18
  23. 23.What is the median of 9, 28, 32, 18 and 21? (a) 28 (b) 18 (c) 32 (d) 21
  24. 24.What is the median of 9, 35, 8, 24 and 10? (a) 10 (b) 9 (c) 24 (d) 8
  25. 25.What is the mean of 4, 7, 13, 13, 9 and 8? (a) 9 (b) 8 (c) 10 (d) 11
  26. 26.The mean of 6 numbers is 23. When the number 2 is added to them, what is the new mean? (a) 19 (b) 23 (c) 20 (d) 21
  27. 27.The mean of 5 numbers is 10. When the number 22 is added to them, what is the new mean? (a) 12 (b) 10 (c) 13 (d) 16
  28. 28.What is the median of 34, 32, 21, 8, 15, 6 and 14? (a) 21 (b) 14 (c) 8 (d) 15
  29. 29.The mean of 6 numbers is 26. When the number 12 is added to them, what is the new mean? (a) 19 (b) 25 (c) 26 (d) 24
  30. 30.What is the mean of 8, 9, 4, 13, 4 and 10? (a) 10 (b) 7 (c) 9 (d) 8
  31. 31.What is the median of 23, 7, 26, 19, 3, 17 and 2? (a) 7 (b) 18 (c) 19 (d) 17
  32. 32.What is the mode of 9, 11, 1, 18, 11, 9 and 9? (a) 18 (b) 11 (c) 9 (d) 1
  33. 33.The mean of 6 numbers is 27. When the number 55 is added to them, what is the new mean? (a) 31 (b) 32 (c) 27 (d) 41
  34. 34.What is the mean of 7, 7, 15, 18 and 18? (a) 15 (b) 12 (c) 13 (d) 14
  35. 35.The mean of 8 numbers is 12. When the number 39 is added to them, what is the new mean? (a) 14 (b) 16 (c) 15 (d) 12
  36. 36.What is the median of 20, 8, 17, 15 and 21? (a) 18 (b) 15 (c) 20 (d) 17
  37. 37.What is the mode of 19, 9, 7, 10, 10, 7 and 10? (a) 10 (b) 19 (c) 9 (d) 7
  38. 38.What is the median of 29, 22, 33, 26 and 28? (a) 29 (b) 26 (c) 28 (d) 33
  39. 39.What is the median of 26, 4, 23, 9 and 33? (a) 19 (b) 23 (c) 26 (d) 9
  40. 40.What is the median of 24, 13, 18, 31, 17, 3 and 40? (a) 24 (b) 18 (c) 17 (d) 31

Answer key

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

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