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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 289 · 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 32, 5, 39, 23, 4, 6 and 2? (a) 6 (b) 7 (c) 5 (d) 23
  2. 2.What is the mode of 14, 11, 7, 11, 14, 3 and 14? (a) 7 (b) 3 (c) 14 (d) 11
  3. 3.What is the mode of 10, 1, 10, 5, 7, 10 and 7? (a) 5 (b) 1 (c) 7 (d) 10
  4. 4.What is the mean of 8, 18, 14, 19, 18 and 13? (a) 16 (b) 15 (c) 14 (d) 18
  5. 5.What is the mode of 15, 13, 20, 18, 20, 13 and 13? (a) 15 (b) 20 (c) 13 (d) 18
  6. 6.What is the mean of 17, 8, 13, 5 and 22? (a) 12 (b) 14 (c) 15 (d) 13
  7. 7.What is the mode of 1, 13, 1, 17, 16, 17 and 17? (a) 16 (b) 13 (c) 1 (d) 17
  8. 8.What is the median of 13, 21, 37, 18, 36, 26 and 39? (a) 18 (b) 36 (c) 21 (d) 26
  9. 9.What is the median of 39, 8, 32, 38 and 20? (a) 38 (b) 20 (c) 33 (d) 32
  10. 10.What is the mode of 19, 11, 19, 3, 19, 17 and 17? (a) 3 (b) 19 (c) 11 (d) 17
  11. 11.What is the mean of 11, 15, 8 and 14? (a) 12 (b) 16 (c) 11 (d) 13
  12. 12.What is the mean of 7, 15, 5 and 21? (a) 16 (b) 12 (c) 13 (d) 11
  13. 13.What is the median of 15, 8, 22, 12, 17, 20 and 26? (a) 12 (b) 20 (c) 17 (d) 15
  14. 14.What is the median of 4, 21, 27, 30, 6, 25 and 37? (a) 30 (b) 27 (c) 21 (d) 25
  15. 15.The mean of 9 numbers is 12. When the number 52 is added to them, what is the new mean? (a) 12 (b) 16 (c) 17 (d) 32
  16. 16.The mean of 9 numbers is 23. When the number 43 is added to them, what is the new mean? (a) 23 (b) 25 (c) 33 (d) 26
  17. 17.What is the mean of 2, 8, 15, 16, 5 and 8? (a) 10 (b) 8 (c) 11 (d) 9
  18. 18.What is the mean of 12, 13, 6, 9 and 5? (a) 10 (b) 8 (c) 11 (d) 9
  19. 19.What is the mode of 16, 3, 9, 12, 12, 9 and 12? (a) 9 (b) 3 (c) 16 (d) 12
  20. 20.What is the mode of 4, 12, 5, 10, 4, 10 and 10? (a) 5 (b) 12 (c) 4 (d) 10
  21. 21.What is the mean of 15, 10, 16 and 19? (a) 15 (b) 12 (c) 20 (d) 16
  22. 22.What is the mode of 2, 8, 2, 2, 8, 7 and 18? (a) 8 (b) 2 (c) 7 (d) 18
  23. 23.What is the median of 36, 30, 7, 26 and 16? (a) 7 (b) 30 (c) 26 (d) 23
  24. 24.What is the mean of 10, 12, 5, 16 and 7? (a) 12 (b) 11 (c) 9 (d) 10
  25. 25.What is the median of 3, 10, 9, 15 and 7? (a) 7 (b) 8 (c) 9 (d) 10
  26. 26.The mean of 6 numbers is 20. When the number 34 is added to them, what is the new mean? (a) 22 (b) 27 (c) 20 (d) 23
  27. 27.What is the median of 23, 19, 9, 36, 12, 29 and 30? (a) 23 (b) 36 (c) 19 (d) 29
  28. 28.What is the mode of 18, 18, 18, 20, 13, 6 and 20? (a) 20 (b) 13 (c) 18 (d) 6
  29. 29.What is the median of 25, 37, 2, 36 and 19? (a) 36 (b) 25 (c) 2 (d) 19
  30. 30.The mean of 7 numbers is 27. When the number 19 is added to them, what is the new mean? (a) 25 (b) 27 (c) 23 (d) 26
  31. 31.What is the mean of 7, 3, 4 and 6? (a) 4 (b) 6 (c) 7 (d) 5
  32. 32.What is the mode of 9, 10, 13, 13, 10, 20 and 13? (a) 13 (b) 20 (c) 10 (d) 9
  33. 33.What is the median of 23, 9, 21, 29 and 30? (a) 24 (b) 29 (c) 21 (d) 23
  34. 34.The mean of 4 numbers is 32. When the number 47 is added to them, what is the new mean? (a) 34 (b) 32 (c) 36 (d) 35
  35. 35.The mean of 8 numbers is 17. When the number 8 is added to them, what is the new mean? (a) 18 (b) 17 (c) 16 (d) 15
  36. 36.What is the mode of 20, 12, 13, 13, 13, 3 and 12? (a) 3 (b) 12 (c) 20 (d) 13
  37. 37.What is the mean of 3, 16, 16 and 9? (a) 11 (b) 12 (c) 10 (d) 13
  38. 38.What is the median of 20, 2, 18, 23, 12, 15 and 25? (a) 23 (b) 20 (c) 18 (d) 15
  39. 39.What is the mean of 17, 8, 17 and 6? (a) 13 (b) 16 (c) 12 (d) 11
  40. 40.What is the mode of 2, 11, 17, 5, 17, 17 and 11? (a) 2 (b) 5 (c) 11 (d) 17

Answer key

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

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