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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 235 · 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 4, 9, 19 and 8? (a) 9 (b) 11 (c) 10 (d) 8
  2. 2.What is the mean of 16, 15, 14, 16 and 4? (a) 14 (b) 12 (c) 15 (d) 13
  3. 3.What is the mean of 17, 11, 19 and 21? (a) 19 (b) 16 (c) 17 (d) 18
  4. 4.The mean of 5 numbers is 25. When the number 13 is added to them, what is the new mean? (a) 23 (b) 25 (c) 19 (d) 24
  5. 5.What is the median of 36, 2, 26, 35, 15, 28 and 34? (a) 26 (b) 35 (c) 28 (d) 34
  6. 6.What is the median of 31, 13, 3, 33, 37, 11 and 25? (a) 25 (b) 33 (c) 31 (d) 13
  7. 7.What is the mean of 3, 19, 12, 6 and 10? (a) 11 (b) 12 (c) 10 (d) 9
  8. 8.What is the median of 29, 10, 40, 26 and 14? (a) 26 (b) 40 (c) 29 (d) 14
  9. 9.What is the mean of 12, 11, 10 and 19? (a) 12 (b) 13 (c) 14 (d) 15
  10. 10.What is the mode of 14, 20, 19, 19, 18, 18 and 19? (a) 18 (b) 20 (c) 14 (d) 19
  11. 11.What is the median of 12, 32, 34, 15, 26, 4 and 22? (a) 15 (b) 26 (c) 23 (d) 22
  12. 12.What is the median of 14, 5, 32, 34, 35, 26 and 8? (a) 32 (b) 22 (c) 34 (d) 26
  13. 13.What is the mean of 6, 3, 18 and 17? (a) 12 (b) 10 (c) 11 (d) 13
  14. 14.What is the mode of 4, 9, 2, 16, 16, 16 and 9? (a) 16 (b) 4 (c) 2 (d) 9
  15. 15.What is the median of 26, 18, 38, 15 and 1? (a) 38 (b) 26 (c) 15 (d) 18
  16. 16.What is the mode of 18, 18, 9, 6, 9, 11 and 9? (a) 6 (b) 18 (c) 9 (d) 11
  17. 17.What is the mode of 2, 11, 6, 2, 2, 7 and 6? (a) 7 (b) 11 (c) 2 (d) 6
  18. 18.What is the median of 34, 15, 4, 26, 39, 6 and 24? (a) 25 (b) 26 (c) 24 (d) 15
  19. 19.What is the mean of 19, 12, 18, 16 and 15? (a) 15 (b) 17 (c) 16 (d) 20
  20. 20.What is the median of 38, 7, 21, 37 and 24? (a) 21 (b) 24 (c) 25 (d) 37
  21. 21.What is the median of 20, 27, 1, 13, 29, 21 and 36? (a) 13 (b) 21 (c) 27 (d) 20
  22. 22.What is the mode of 10, 8, 4, 9, 4, 8 and 4? (a) 8 (b) 9 (c) 4 (d) 10
  23. 23.What is the mean of 13, 19, 13, 20, 3 and 16? (a) 15 (b) 13 (c) 14 (d) 12
  24. 24.What is the mean of 6, 13, 19, 4 and 3? (a) 10 (b) 11 (c) 8 (d) 9
  25. 25.The mean of 8 numbers is 30. When the number 39 is added to them, what is the new mean? (a) 30 (b) 33 (c) 32 (d) 31
  26. 26.What is the median of 5, 4, 16, 29 and 17? (a) 15 (b) 17 (c) 5 (d) 16
  27. 27.What is the mean of 3, 12, 14, 9, 14 and 8? (a) 9 (b) 10 (c) 12 (d) 11
  28. 28.The mean of 3 numbers is 13. When the number 21 is added to them, what is the new mean? (a) 13 (b) 15 (c) 16 (d) 17
  29. 29.What is the mean of 16, 4, 9 and 11? (a) 10 (b) 8 (c) 9 (d) 11
  30. 30.What is the median of 4, 12, 36, 16, 32, 2 and 23? (a) 12 (b) 17 (c) 16 (d) 23
  31. 31.What is the mean of 6, 14, 17, 6 and 22? (a) 12 (b) 15 (c) 13 (d) 14
  32. 32.What is the median of 4, 23, 33, 22 and 14? (a) 14 (b) 33 (c) 22 (d) 23
  33. 33.What is the median of 1, 10, 35, 4, 3, 9 and 31? (a) 4 (b) 9 (c) 10 (d) 8
  34. 34.What is the median of 7, 24, 34, 16, 32, 3 and 36? (a) 25 (b) 16 (c) 24 (d) 32
  35. 35.The mean of 6 numbers is 34. When the number 41 is added to them, what is the new mean? (a) 37 (b) 35 (c) 34 (d) 36
  36. 36.What is the mean of 14, 3, 8, 8, 9 and 6? (a) 10 (b) 7 (c) 9 (d) 8
  37. 37.What is the mode of 1, 1, 3, 3, 6, 13 and 3? (a) 1 (b) 3 (c) 6 (d) 13
  38. 38.What is the mode of 17, 1, 1, 8, 6, 8 and 8? (a) 1 (b) 8 (c) 6 (d) 17
  39. 39.What is the mean of 10, 2, 13 and 19? (a) 10 (b) 12 (c) 13 (d) 11
  40. 40.What is the median of 24, 14, 1, 38, 40, 16 and 7? (a) 24 (b) 20 (c) 16 (d) 38

Answer key

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

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