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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 744 · 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 9, 20, 9 and 10? (a) 16 (b) 11 (c) 12 (d) 13
  2. 2.The mean of 7 numbers is 39. When the number 47 is added to them, what is the new mean? (a) 43 (b) 39 (c) 40 (d) 41
  3. 3.What is the mode of 1, 2, 17, 2, 7, 17 and 2? (a) 2 (b) 7 (c) 17 (d) 1
  4. 4.What is the mean of 5, 14, 14, 3 and 4? (a) 8 (b) 10 (c) 7 (d) 9
  5. 5.What is the mean of 20, 15, 18, 12, 10 and 9? (a) 13 (b) 15 (c) 12 (d) 14
  6. 6.What is the median of 38, 6, 10, 20, 34, 25 and 9? (a) 10 (b) 21 (c) 25 (d) 20
  7. 7.The mean of 5 numbers is 37. When the number 25 is added to them, what is the new mean? (a) 37 (b) 36 (c) 31 (d) 35
  8. 8.What is the mode of 6, 17, 10, 15, 15, 15 and 6? (a) 10 (b) 17 (c) 15 (d) 6
  9. 9.What is the median of 39, 36, 10, 13 and 15? (a) 36 (b) 15 (c) 13 (d) 10
  10. 10.What is the mode of 10, 19, 19, 10, 3, 20 and 10? (a) 3 (b) 19 (c) 10 (d) 20
  11. 11.The mean of 6 numbers is 15. When the number 36 is added to them, what is the new mean? (a) 15 (b) 17 (c) 19 (d) 18
  12. 12.The mean of 4 numbers is 26. When the number 16 is added to them, what is the new mean? (a) 25 (b) 26 (c) 21 (d) 24
  13. 13.What is the median of 17, 31, 18, 4 and 21? (a) 18 (b) 21 (c) 17 (d) 19
  14. 14.What is the mode of 8, 8, 14, 14, 4, 16 and 14? (a) 8 (b) 4 (c) 14 (d) 16
  15. 15.What is the mean of 10, 13, 7, 5, 8 and 23? (a) 13 (b) 10 (c) 12 (d) 11
  16. 16.What is the median of 39, 7, 22, 1 and 24? (a) 23 (b) 24 (c) 22 (d) 7
  17. 17.What is the median of 34, 31, 13, 17 and 37? (a) 34 (b) 31 (c) 17 (d) 13
  18. 18.What is the mean of 19, 8, 17, 14, 17 and 15? (a) 15 (b) 16 (c) 18 (d) 14
  19. 19.What is the mean of 20, 3, 16, 17 and 19? (a) 14 (b) 16 (c) 17 (d) 15
  20. 20.The mean of 5 numbers is 20. When the number 8 is added to them, what is the new mean? (a) 19 (b) 20 (c) 18 (d) 14
  21. 21.What is the mean of 9, 15, 5 and 7? (a) 8 (b) 12 (c) 10 (d) 9
  22. 22.The mean of 5 numbers is 39. When the number 51 is added to them, what is the new mean? (a) 42 (b) 41 (c) 45 (d) 39
  23. 23.What is the median of 6, 19, 38, 9, 4, 23 and 40? (a) 23 (b) 9 (c) 19 (d) 20
  24. 24.What is the median of 10, 2, 8, 7 and 22? (a) 8 (b) 10 (c) 7 (d) 9
  25. 25.What is the mean of 6, 6, 8 and 4? (a) 6 (b) 8 (c) 5 (d) 7
  26. 26.What is the mean of 12, 19, 12, 18 and 9? (a) 14 (b) 16 (c) 13 (d) 15
  27. 27.What is the mode of 18, 14, 8, 7, 14, 14 and 18? (a) 18 (b) 7 (c) 8 (d) 14
  28. 28.What is the median of 35, 32, 6, 26, 9, 40 and 12? (a) 32 (b) 12 (c) 27 (d) 26
  29. 29.What is the mean of 11, 8, 11 and 18? (a) 12 (b) 13 (c) 11 (d) 16
  30. 30.What is the mean of 7, 16, 3 and 14? (a) 11 (b) 9 (c) 10 (d) 8
  31. 31.What is the mode of 17, 3, 3, 17, 20, 11 and 3? (a) 3 (b) 11 (c) 17 (d) 20
  32. 32.What is the mean of 10, 5, 10 and 7? (a) 10 (b) 8 (c) 9 (d) 7
  33. 33.What is the mean of 3, 4, 15, 4 and 19? (a) 10 (b) 11 (c) 8 (d) 9
  34. 34.What is the mode of 2, 10, 10, 2, 8, 15 and 10? (a) 10 (b) 15 (c) 2 (d) 8
  35. 35.The mean of 7 numbers is 15. When the number 39 is added to them, what is the new mean? (a) 19 (b) 27 (c) 15 (d) 18
  36. 36.What is the mean of 4, 2, 11, 17 and 11? (a) 9 (b) 11 (c) 10 (d) 8
  37. 37.What is the median of 33, 35, 11, 7 and 1? (a) 33 (b) 12 (c) 7 (d) 11
  38. 38.What is the mean of 3, 6, 4 and 11? (a) 6 (b) 5 (c) 8 (d) 7
  39. 39.The mean of 7 numbers is 16. When the number 24 is added to them, what is the new mean? (a) 18 (b) 16 (c) 20 (d) 17
  40. 40.What is the mode of 4, 7, 14, 18, 4, 18 and 18? (a) 4 (b) 14 (c) 18 (d) 7

Answer key

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

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