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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 848 · 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 27, 16, 22, 31, 34, 2 and 14? (a) 31 (b) 27 (c) 16 (d) 22
  2. 2.What is the mode of 19, 1, 11, 1, 11, 4 and 1? (a) 11 (b) 19 (c) 4 (d) 1
  3. 3.What is the median of 23, 18, 31, 19, 28, 12 and 20? (a) 19 (b) 23 (c) 21 (d) 20
  4. 4.The mean of 9 numbers is 20. When the number 30 is added to them, what is the new mean? (a) 21 (b) 20 (c) 22 (d) 25
  5. 5.What is the mean of 20, 16, 11, 4 and 9? (a) 15 (b) 12 (c) 13 (d) 10
  6. 6.What is the median of 38, 3, 40, 29 and 9? (a) 9 (b) 38 (c) 29 (d) 40
  7. 7.What is the median of 27, 39, 23, 2, 19, 22 and 14? (a) 19 (b) 23 (c) 22 (d) 2
  8. 8.What is the median of 5, 9, 3, 17 and 36? (a) 3 (b) 9 (c) 14 (d) 17
  9. 9.What is the median of 38, 25, 22, 26 and 1? (a) 22 (b) 26 (c) 25 (d) 24
  10. 10.What is the mode of 9, 11, 15, 2, 2, 9 and 2? (a) 11 (b) 2 (c) 9 (d) 15
  11. 11.What is the median of 36, 27, 21, 18 and 8? (a) 22 (b) 27 (c) 18 (d) 21
  12. 12.What is the mean of 10, 19, 5 and 6? (a) 11 (b) 9 (c) 8 (d) 10
  13. 13.What is the median of 17, 31, 34, 9 and 3? (a) 31 (b) 9 (c) 34 (d) 17
  14. 14.What is the mode of 14, 11, 15, 8, 11, 11 and 15? (a) 8 (b) 15 (c) 11 (d) 14
  15. 15.What is the mode of 13, 13, 3, 3, 4, 7 and 3? (a) 13 (b) 3 (c) 7 (d) 4
  16. 16.The mean of 4 numbers is 40. When the number 45 is added to them, what is the new mean? (a) 43 (b) 42 (c) 41 (d) 40
  17. 17.What is the mode of 2, 20, 20, 16, 2, 2 and 10? (a) 16 (b) 10 (c) 20 (d) 2
  18. 18.The mean of 8 numbers is 34. When the number 61 is added to them, what is the new mean? (a) 34 (b) 36 (c) 38 (d) 37
  19. 19.What is the median of 5, 2, 21, 7, 25, 24 and 17? (a) 21 (b) 7 (c) 17 (d) 18
  20. 20.What is the mode of 3, 3, 7, 12, 11, 7 and 3? (a) 11 (b) 12 (c) 7 (d) 3
  21. 21.What is the median of 14, 7, 8, 4 and 27? (a) 14 (b) 12 (c) 8 (d) 7
  22. 22.What is the mean of 7, 6, 15, 17, 6 and 21? (a) 11 (b) 14 (c) 12 (d) 13
  23. 23.What is the mode of 5, 5, 9, 10, 10, 18 and 10? (a) 9 (b) 18 (c) 10 (d) 5
  24. 24.The mean of 8 numbers is 37. When the number 10 is added to them, what is the new mean? (a) 34 (b) 35 (c) 33 (d) 37
  25. 25.What is the mode of 13, 12, 1, 1, 5, 1 and 5? (a) 1 (b) 5 (c) 13 (d) 12
  26. 26.What is the mode of 6, 15, 7, 7, 4, 4 and 7? (a) 4 (b) 7 (c) 6 (d) 15
  27. 27.What is the median of 23, 12, 26, 31, 34, 25 and 2? (a) 25 (b) 23 (c) 26 (d) 31
  28. 28.The mean of 7 numbers is 19. When the number 35 is added to them, what is the new mean? (a) 27 (b) 19 (c) 21 (d) 22
  29. 29.What is the median of 19, 5, 26, 18, 11, 20 and 27? (a) 19 (b) 20 (c) 21 (d) 18
  30. 30.What is the median of 38, 8, 23, 31 and 6? (a) 24 (b) 31 (c) 8 (d) 23
  31. 31.What is the median of 28, 23, 30, 3, 14, 9 and 29? (a) 3 (b) 28 (c) 23 (d) 14
  32. 32.What is the mode of 8, 18, 18, 2, 15, 15 and 15? (a) 18 (b) 8 (c) 15 (d) 2
  33. 33.The mean of 7 numbers is 21. When the number 13 is added to them, what is the new mean? (a) 17 (b) 19 (c) 21 (d) 20
  34. 34.What is the mean of 4, 12, 20, 2 and 17? (a) 13 (b) 11 (c) 10 (d) 12
  35. 35.What is the mode of 6, 13, 4, 4, 5, 4 and 6? (a) 5 (b) 13 (c) 4 (d) 6
  36. 36.What is the median of 34, 3, 36, 23, 18, 6 and 7? (a) 19 (b) 23 (c) 7 (d) 18
  37. 37.What is the mean of 14, 6, 10, 10 and 15? (a) 12 (b) 10 (c) 13 (d) 11
  38. 38.What is the mode of 10, 19, 8, 19, 20, 8 and 19? (a) 8 (b) 19 (c) 10 (d) 20
  39. 39.What is the mean of 20, 14, 12, 10 and 19? (a) 16 (b) 15 (c) 17 (d) 14
  40. 40.The mean of 4 numbers is 33. When the number 18 is added to them, what is the new mean? (a) 33 (b) 30 (c) 31 (d) 29

Answer key

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

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