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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 492 · 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 23, 21, 29, 40 and 10? (a) 23 (b) 21 (c) 24 (d) 29
  2. 2.What is the mean of 17, 2, 12, 7, 11 and 5? (a) 10 (b) 11 (c) 9 (d) 8
  3. 3.What is the mode of 3, 15, 13, 2, 3, 13 and 3? (a) 13 (b) 3 (c) 15 (d) 2
  4. 4.What is the mode of 14, 5, 14, 15, 11, 14 and 5? (a) 14 (b) 5 (c) 15 (d) 11
  5. 5.What is the mean of 7, 15, 4, 9 and 20? (a) 13 (b) 12 (c) 10 (d) 11
  6. 6.The mean of 8 numbers is 28. When the number 10 is added to them, what is the new mean? (a) 27 (b) 28 (c) 26 (d) 19
  7. 7.What is the median of 7, 30, 38, 9 and 23? (a) 30 (b) 9 (c) 23 (d) 38
  8. 8.What is the mean of 20, 20, 13, 11 and 16? (a) 17 (b) 15 (c) 16 (d) 20
  9. 9.What is the mean of 13, 20, 9 and 6? (a) 11 (b) 13 (c) 16 (d) 12
  10. 10.The mean of 3 numbers is 22. When the number 14 is added to them, what is the new mean? (a) 18 (b) 22 (c) 21 (d) 20
  11. 11.What is the median of 4, 12, 27, 20, 31, 5 and 40? (a) 21 (b) 20 (c) 27 (d) 12
  12. 12.What is the mean of 3, 9, 10, 9 and 4? (a) 6 (b) 7 (c) 8 (d) 9
  13. 13.The mean of 7 numbers is 21. When the number 13 is added to them, what is the new mean? (a) 21 (b) 19 (c) 20 (d) 17
  14. 14.What is the mean of 11, 18, 5 and 14? (a) 12 (b) 13 (c) 11 (d) 16
  15. 15.What is the median of 27, 36, 22, 11, 26, 31 and 16? (a) 22 (b) 11 (c) 27 (d) 26
  16. 16.What is the median of 18, 11, 30, 3 and 10? (a) 30 (b) 18 (c) 10 (d) 11
  17. 17.What is the mean of 6, 2, 14, 8 and 10? (a) 10 (b) 9 (c) 7 (d) 8
  18. 18.What is the median of 8, 26, 39, 33, 25, 31 and 21? (a) 31 (b) 26 (c) 25 (d) 33
  19. 19.What is the median of 5, 25, 36, 9 and 13? (a) 36 (b) 9 (c) 25 (d) 13
  20. 20.The mean of 7 numbers is 37. When the number 61 is added to them, what is the new mean? (a) 41 (b) 37 (c) 49 (d) 40
  21. 21.The mean of 4 numbers is 25. When the number 45 is added to them, what is the new mean? (a) 35 (b) 25 (c) 30 (d) 29
  22. 22.What is the mode of 9, 2, 2, 19, 9, 9 and 5? (a) 9 (b) 19 (c) 5 (d) 2
  23. 23.What is the mean of 9, 14, 11 and 22? (a) 13 (b) 15 (c) 16 (d) 14
  24. 24.What is the mode of 14, 3, 5, 15, 5, 14 and 5? (a) 15 (b) 3 (c) 5 (d) 14
  25. 25.What is the mean of 17, 6, 7 and 2? (a) 10 (b) 7 (c) 9 (d) 8
  26. 26.What is the mean of 14, 3, 18, 19, 7 and 23? (a) 13 (b) 14 (c) 15 (d) 12
  27. 27.The mean of 7 numbers is 18. When the number 50 is added to them, what is the new mean? (a) 18 (b) 22 (c) 23 (d) 34
  28. 28.The mean of 4 numbers is 33. When the number 43 is added to them, what is the new mean? (a) 35 (b) 36 (c) 33 (d) 38
  29. 29.The mean of 3 numbers is 15. When the number 23 is added to them, what is the new mean? (a) 18 (b) 15 (c) 19 (d) 17
  30. 30.What is the mean of 7, 15, 15, 18 and 20? (a) 14 (b) 15 (c) 16 (d) 17
  31. 31.What is the median of 11, 22, 17, 26, 31, 1 and 39? (a) 17 (b) 22 (c) 21 (d) 26
  32. 32.What is the mode of 15, 20, 17, 11, 11, 15 and 11? (a) 20 (b) 15 (c) 11 (d) 17
  33. 33.What is the mean of 10, 15, 12, 11 and 17? (a) 12 (b) 14 (c) 13 (d) 15
  34. 34.The mean of 4 numbers is 37. When the number 47 is added to them, what is the new mean? (a) 42 (b) 40 (c) 39 (d) 37
  35. 35.What is the mean of 5, 3, 13, 6 and 8? (a) 6 (b) 8 (c) 7 (d) 9
  36. 36.The mean of 8 numbers is 18. When the number 54 is added to them, what is the new mean? (a) 23 (b) 22 (c) 18 (d) 36
  37. 37.What is the median of 2, 13, 5, 33 and 8? (a) 5 (b) 8 (c) 9 (d) 13
  38. 38.What is the median of 32, 10, 21, 22, 31, 3 and 4? (a) 22 (b) 21 (c) 10 (d) 20
  39. 39.What is the mean of 17, 4, 3 and 8? (a) 9 (b) 7 (c) 10 (d) 8
  40. 40.What is the mean of 19, 13, 8, 5, 2 and 25? (a) 11 (b) 13 (c) 14 (d) 12

Answer key

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

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