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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 730 · 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 3, 5, 6 and 22? (a) 8 (b) 10 (c) 12 (d) 9
  2. 2.What is the mean of 6, 5, 2, 2 and 10? (a) 6 (b) 5 (c) 4 (d) 7
  3. 3.What is the mode of 14, 4, 14, 6, 4, 15 and 4? (a) 6 (b) 4 (c) 15 (d) 14
  4. 4.What is the mode of 6, 10, 6, 11, 6, 5 and 11? (a) 11 (b) 10 (c) 6 (d) 5
  5. 5.What is the median of 37, 33, 18, 30, 25, 8 and 13? (a) 30 (b) 18 (c) 25 (d) 26
  6. 6.What is the mode of 6, 20, 13, 20, 6, 16 and 6? (a) 13 (b) 16 (c) 6 (d) 20
  7. 7.What is the median of 12, 5, 11, 30, 36, 28 and 34? (a) 28 (b) 30 (c) 12 (d) 29
  8. 8.What is the mean of 7, 11, 6 and 8? (a) 7 (b) 8 (c) 10 (d) 9
  9. 9.What is the median of 10, 6, 23, 7 and 36? (a) 11 (b) 10 (c) 23 (d) 7
  10. 10.What is the median of 21, 9, 7, 39, 32, 1 and 2? (a) 9 (b) 21 (c) 7 (d) 39
  11. 11.The mean of 7 numbers is 34. When the number 26 is added to them, what is the new mean? (a) 34 (b) 33 (c) 30 (d) 32
  12. 12.What is the mode of 10, 4, 4, 9, 10, 4 and 20? (a) 10 (b) 9 (c) 20 (d) 4
  13. 13.What is the mean of 4, 19, 10, 2 and 5? (a) 10 (b) 7 (c) 8 (d) 9
  14. 14.What is the median of 25, 39, 28, 15 and 1? (a) 25 (b) 28 (c) 26 (d) 15
  15. 15.What is the median of 31, 8, 26, 30, 22, 10 and 20? (a) 26 (b) 22 (c) 21 (d) 30
  16. 16.What is the mode of 4, 5, 15, 4, 17, 4 and 5? (a) 5 (b) 4 (c) 15 (d) 17
  17. 17.What is the median of 16, 10, 7, 22 and 8? (a) 7 (b) 10 (c) 8 (d) 16
  18. 18.What is the median of 8, 7, 39, 14 and 24? (a) 39 (b) 14 (c) 8 (d) 24
  19. 19.What is the mode of 1, 5, 5, 9, 8, 8 and 8? (a) 9 (b) 1 (c) 8 (d) 5
  20. 20.What is the mean of 12, 7, 18, 11 and 7? (a) 13 (b) 12 (c) 11 (d) 10
  21. 21.The mean of 5 numbers is 11. When the number 29 is added to them, what is the new mean? (a) 20 (b) 14 (c) 11 (d) 15
  22. 22.What is the median of 4, 14, 34, 31 and 39? (a) 14 (b) 31 (c) 32 (d) 34
  23. 23.What is the mode of 6, 20, 6, 7, 6, 4 and 20? (a) 4 (b) 20 (c) 6 (d) 7
  24. 24.The mean of 6 numbers is 21. When the number 14 is added to them, what is the new mean? (a) 22 (b) 20 (c) 21 (d) 19
  25. 25.What is the median of 37, 13, 19, 26, 31, 39 and 10? (a) 31 (b) 25 (c) 19 (d) 26
  26. 26.What is the median of 24, 29, 15, 32 and 31? (a) 29 (b) 24 (c) 15 (d) 31
  27. 27.The mean of 3 numbers is 23. When the number 11 is added to them, what is the new mean? (a) 17 (b) 20 (c) 21 (d) 23
  28. 28.What is the median of 40, 10, 33, 28 and 24? (a) 33 (b) 24 (c) 28 (d) 27
  29. 29.What is the mode of 6, 4, 3, 3, 19, 3 and 19? (a) 6 (b) 3 (c) 4 (d) 19
  30. 30.The mean of 4 numbers is 13. When the number 8 is added to them, what is the new mean? (a) 11 (b) 14 (c) 13 (d) 12
  31. 31.What is the median of 4, 17, 3, 20, 26, 5 and 21? (a) 5 (b) 17 (c) 20 (d) 18
  32. 32.What is the median of 36, 7, 35, 16 and 29? (a) 29 (b) 16 (c) 30 (d) 35
  33. 33.The mean of 3 numbers is 24. When the number 28 is added to them, what is the new mean? (a) 26 (b) 25 (c) 24 (d) 27
  34. 34.What is the mean of 3, 10, 17 and 10? (a) 9 (b) 11 (c) 8 (d) 10
  35. 35.What is the mode of 5, 20, 20, 9, 6, 20 and 9? (a) 5 (b) 6 (c) 20 (d) 9
  36. 36.What is the median of 20, 7, 25, 19 and 39? (a) 22 (b) 20 (c) 25 (d) 19
  37. 37.What is the mean of 4, 20, 7 and 17? (a) 13 (b) 16 (c) 12 (d) 11
  38. 38.What is the median of 9, 35, 10, 3, 38, 7 and 36? (a) 10 (b) 3 (c) 9 (d) 35
  39. 39.What is the mean of 11, 19, 14, 7, 14 and 19? (a) 12 (b) 15 (c) 14 (d) 13
  40. 40.The mean of 9 numbers is 33. When the number 23 is added to them, what is the new mean? (a) 32 (b) 33 (c) 28 (d) 31

Answer key

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

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