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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 461 · 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 mode of 15, 19, 15, 19, 19, 1 and 8? (a) 15 (b) 1 (c) 19 (d) 8
  2. 2.What is the median of 19, 4, 7, 39, 27, 35 and 36? (a) 19 (b) 39 (c) 35 (d) 27
  3. 3.What is the mean of 9, 2, 5, 6 and 8? (a) 8 (b) 6 (c) 5 (d) 7
  4. 4.What is the mean of 14, 5, 19 and 18? (a) 15 (b) 14 (c) 13 (d) 16
  5. 5.What is the mean of 3, 13, 15, 10, 10 and 21? (a) 11 (b) 12 (c) 14 (d) 13
  6. 6.The mean of 3 numbers is 18. When the number 14 is added to them, what is the new mean? (a) 18 (b) 19 (c) 17 (d) 16
  7. 7.What is the mode of 19, 19, 9, 9, 16, 19 and 14? (a) 19 (b) 14 (c) 16 (d) 9
  8. 8.The mean of 4 numbers is 35. When the number 30 is added to them, what is the new mean? (a) 34 (b) 35 (c) 33 (d) 36
  9. 9.What is the mean of 20, 2, 6, 6, 5 and 3? (a) 8 (b) 7 (c) 6 (d) 9
  10. 10.What is the median of 39, 19, 5, 23 and 18? (a) 5 (b) 18 (c) 19 (d) 23
  11. 11.What is the median of 3, 14, 38, 16 and 29? (a) 38 (b) 20 (c) 16 (d) 29
  12. 12.The mean of 5 numbers is 18. When the number 24 is added to them, what is the new mean? (a) 19 (b) 18 (c) 20 (d) 21
  13. 13.The mean of 5 numbers is 33. When the number 45 is added to them, what is the new mean? (a) 36 (b) 35 (c) 33 (d) 39
  14. 14.What is the median of 25, 38, 12, 2, 27, 23 and 7? (a) 23 (b) 2 (c) 12 (d) 25
  15. 15.What is the mean of 8, 8, 6, 5, 13 and 20? (a) 10 (b) 11 (c) 12 (d) 9
  16. 16.The mean of 3 numbers is 35. When the number 51 is added to them, what is the new mean? (a) 43 (b) 35 (c) 39 (d) 40
  17. 17.The mean of 5 numbers is 28. When the number 46 is added to them, what is the new mean? (a) 37 (b) 32 (c) 31 (d) 28
  18. 18.What is the median of 18, 25, 10, 5 and 2? (a) 12 (b) 18 (c) 5 (d) 10
  19. 19.What is the mode of 15, 5, 6, 6, 15, 1 and 6? (a) 15 (b) 6 (c) 5 (d) 1
  20. 20.The mean of 3 numbers is 10. When the number 6 is added to them, what is the new mean? (a) 8 (b) 11 (c) 9 (d) 10
  21. 21.What is the mean of 10, 20, 17, 3, 16 and 24? (a) 18 (b) 16 (c) 14 (d) 15
  22. 22.What is the median of 22, 4, 23, 13 and 31? (a) 13 (b) 22 (c) 23 (d) 21
  23. 23.What is the median of 22, 33, 26, 1 and 32? (a) 22 (b) 27 (c) 32 (d) 26
  24. 24.The mean of 5 numbers is 35. When the number 53 is added to them, what is the new mean? (a) 39 (b) 44 (c) 38 (d) 35
  25. 25.The mean of 7 numbers is 20. When the number 4 is added to them, what is the new mean? (a) 19 (b) 18 (c) 20 (d) 12
  26. 26.What is the mean of 13, 9, 10 and 4? (a) 12 (b) 9 (c) 8 (d) 10
  27. 27.What is the mode of 5, 2, 6, 4, 4, 4 and 2? (a) 5 (b) 6 (c) 2 (d) 4
  28. 28.What is the mean of 19, 20, 20, 4 and 12? (a) 14 (b) 16 (c) 15 (d) 17
  29. 29.What is the mean of 14, 15, 6, 13 and 17? (a) 12 (b) 14 (c) 15 (d) 13
  30. 30.What is the mean of 19, 4, 18, 14 and 10? (a) 13 (b) 15 (c) 12 (d) 14
  31. 31.What is the mean of 20, 7, 9 and 20? (a) 15 (b) 14 (c) 13 (d) 16
  32. 32.What is the mean of 13, 13, 12 and 18? (a) 16 (b) 15 (c) 13 (d) 14
  33. 33.What is the mode of 1, 9, 9, 1, 13, 1 and 5? (a) 5 (b) 1 (c) 13 (d) 9
  34. 34.What is the median of 21, 35, 36, 25 and 40? (a) 25 (b) 34 (c) 35 (d) 36
  35. 35.The mean of 9 numbers is 29. When the number 19 is added to them, what is the new mean? (a) 27 (b) 28 (c) 29 (d) 24
  36. 36.What is the mode of 5, 5, 12, 3, 14, 3 and 3? (a) 12 (b) 3 (c) 14 (d) 5
  37. 37.What is the median of 21, 4, 17, 26, 10, 16 and 39? (a) 21 (b) 17 (c) 26 (d) 19
  38. 38.What is the median of 35, 24, 38, 37, 15, 28 and 27? (a) 35 (b) 37 (c) 27 (d) 28
  39. 39.What is the mean of 15, 3, 5, 3, 2 and 20? (a) 9 (b) 7 (c) 10 (d) 8
  40. 40.What is the mean of 18, 19, 8, 10, 8 and 9? (a) 11 (b) 13 (c) 14 (d) 12

Answer key

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

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