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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 26 · 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.The mean of 4 numbers is 19. When the number 14 is added to them, what is the new mean? (a) 19 (b) 20 (c) 18 (d) 17
  2. 2.What is the mean of 4, 9, 4, 12, 15 and 10? (a) 10 (b) 11 (c) 9 (d) 8
  3. 3.The mean of 9 numbers is 40. When the number 80 is added to them, what is the new mean? (a) 44 (b) 45 (c) 60 (d) 40
  4. 4.What is the mean of 6, 16, 11, 19, 2 and 6? (a) 9 (b) 12 (c) 11 (d) 10
  5. 5.What is the mean of 10, 10, 20 and 12? (a) 15 (b) 14 (c) 13 (d) 12
  6. 6.What is the median of 24, 37, 39, 4, 12, 3 and 6? (a) 12 (b) 6 (c) 4 (d) 24
  7. 7.What is the mean of 7, 6, 11, 18, 2 and 16? (a) 11 (b) 10 (c) 9 (d) 12
  8. 8.What is the mode of 4, 20, 20, 20, 4, 6 and 1? (a) 4 (b) 6 (c) 20 (d) 1
  9. 9.What is the mode of 1, 4, 20, 4, 13, 1 and 1? (a) 13 (b) 4 (c) 1 (d) 20
  10. 10.What is the mean of 12, 6, 9, 18, 5 and 16? (a) 12 (b) 13 (c) 11 (d) 10
  11. 11.What is the mean of 14, 9, 11 and 14? (a) 16 (b) 13 (c) 12 (d) 11
  12. 12.What is the mean of 2, 3, 11 and 8? (a) 8 (b) 7 (c) 5 (d) 6
  13. 13.What is the mean of 13, 4, 16, 3 and 4? (a) 7 (b) 8 (c) 9 (d) 10
  14. 14.What is the median of 22, 10, 34, 19 and 3? (a) 22 (b) 34 (c) 10 (d) 19
  15. 15.What is the median of 31, 23, 33, 28 and 10? (a) 33 (b) 25 (c) 31 (d) 28
  16. 16.What is the mean of 19, 9, 4 and 16? (a) 13 (b) 12 (c) 16 (d) 11
  17. 17.What is the median of 21, 12, 25, 22, 36, 35 and 34? (a) 25 (b) 22 (c) 26 (d) 34
  18. 18.What is the median of 6, 39, 3, 38, 9, 12 and 7? (a) 38 (b) 9 (c) 7 (d) 12
  19. 19.What is the mode of 1, 16, 12, 16, 10, 1 and 1? (a) 12 (b) 10 (c) 16 (d) 1
  20. 20.What is the median of 36, 26, 10, 15 and 21? (a) 26 (b) 21 (c) 10 (d) 15
  21. 21.What is the mean of 12, 20, 6, 13 and 14? (a) 14 (b) 12 (c) 15 (d) 13
  22. 22.What is the mode of 17, 17, 3, 3, 2, 1 and 17? (a) 2 (b) 17 (c) 3 (d) 1
  23. 23.What is the mean of 7, 7, 12, 14 and 10? (a) 12 (b) 10 (c) 11 (d) 9
  24. 24.What is the mode of 10, 1, 10, 2, 6, 10 and 6? (a) 2 (b) 1 (c) 6 (d) 10
  25. 25.What is the mode of 6, 20, 6, 2, 12, 12 and 12? (a) 12 (b) 20 (c) 6 (d) 2
  26. 26.What is the mode of 10, 19, 12, 20, 19, 20 and 20? (a) 20 (b) 12 (c) 10 (d) 19
  27. 27.What is the median of 5, 36, 21, 27 and 40? (a) 28 (b) 21 (c) 36 (d) 27
  28. 28.What is the mode of 13, 13, 16, 16, 15, 6 and 16? (a) 15 (b) 13 (c) 16 (d) 6
  29. 29.The mean of 3 numbers is 29. When the number 37 is added to them, what is the new mean? (a) 31 (b) 29 (c) 32 (d) 33
  30. 30.What is the mean of 16, 17, 9, 14 and 9? (a) 14 (b) 12 (c) 13 (d) 15
  31. 31.What is the median of 16, 19, 9, 40, 38, 14 and 24? (a) 16 (b) 24 (c) 40 (d) 19
  32. 32.What is the mean of 16, 13, 8 and 19? (a) 14 (b) 13 (c) 15 (d) 16
  33. 33.The mean of 5 numbers is 23. When the number 29 is added to them, what is the new mean? (a) 23 (b) 24 (c) 25 (d) 26
  34. 34.What is the mode of 14, 3, 3, 10, 1, 3 and 14? (a) 1 (b) 10 (c) 14 (d) 3
  35. 35.What is the mean of 6, 3, 13, 14 and 9? (a) 9 (b) 10 (c) 11 (d) 8
  36. 36.The mean of 3 numbers is 39. When the number 23 is added to them, what is the new mean? (a) 31 (b) 36 (c) 39 (d) 35
  37. 37.What is the mode of 4, 6, 6, 3, 17, 6 and 3? (a) 3 (b) 6 (c) 17 (d) 4
  38. 38.What is the mode of 16, 6, 16, 6, 11, 6 and 20? (a) 16 (b) 20 (c) 6 (d) 11
  39. 39.What is the mean of 4, 5, 9 and 10? (a) 7 (b) 6 (c) 8 (d) 9
  40. 40.What is the median of 21, 35, 15, 28, 20, 1 and 39? (a) 20 (b) 21 (c) 28 (d) 22

Answer key

  1. 18
  2. 9
  3. 44
  4. 10
  5. 13
  6. 12
  7. 10
  8. 20
  9. 1
  10. 11
  11. 12
  12. 6
  13. 8
  14. 19
  15. 28
  16. 12
  17. 25
  18. 9
  19. 1
  20. 21
  21. 13
  22. 17
  23. 10
  24. 10
  25. 12
  26. 20
  27. 27
  28. 16
  29. 31
  30. 13
  31. 19
  32. 14
  33. 24
  34. 3
  35. 9
  36. 35
  37. 6
  38. 6
  39. 7
  40. 21

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