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Mean Median Mode Worksheet for Maths Olympiad

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

Answer key

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

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