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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 183 · 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 18, 10, 12 and 20? (a) 16 (b) 15 (c) 20 (d) 12
  2. 2.What is the mean of 6, 12, 5, 10, 9 and 6? (a) 7 (b) 8 (c) 10 (d) 9
  3. 3.What is the median of 35, 8, 11, 37 and 14? (a) 35 (b) 14 (c) 11 (d) 21
  4. 4.What is the mean of 12, 19, 20, 6 and 8? (a) 14 (b) 13 (c) 15 (d) 12
  5. 5.What is the median of 11, 40, 37, 13, 3, 21 and 26? (a) 21 (b) 13 (c) 26 (d) 22
  6. 6.What is the median of 11, 16, 40, 38 and 29? (a) 29 (b) 40 (c) 16 (d) 38
  7. 7.What is the median of 6, 10, 3, 11, 13, 4 and 25? (a) 11 (b) 9 (c) 10 (d) 6
  8. 8.The mean of 3 numbers is 10. When the number 22 is added to them, what is the new mean? (a) 10 (b) 13 (c) 14 (d) 16
  9. 9.What is the mean of 7, 11, 7, 10 and 20? (a) 11 (b) 12 (c) 13 (d) 10
  10. 10.What is the mode of 14, 4, 4, 10, 14, 2 and 14? (a) 14 (b) 10 (c) 4 (d) 2
  11. 11.The mean of 4 numbers is 32. When the number 27 is added to them, what is the new mean? (a) 33 (b) 30 (c) 32 (d) 31
  12. 12.What is the mode of 5, 9, 17, 8, 5, 8 and 8? (a) 17 (b) 9 (c) 8 (d) 5
  13. 13.What is the mode of 16, 12, 1, 5, 16, 5 and 5? (a) 1 (b) 5 (c) 16 (d) 12
  14. 14.What is the mean of 7, 14, 14 and 13? (a) 12 (b) 11 (c) 16 (d) 13
  15. 15.The mean of 8 numbers is 29. When the number 11 is added to them, what is the new mean? (a) 27 (b) 28 (c) 20 (d) 29
  16. 16.What is the median of 21, 5, 8, 33, 30, 36 and 13? (a) 30 (b) 21 (c) 33 (d) 13
  17. 17.The mean of 4 numbers is 28. When the number 43 is added to them, what is the new mean? (a) 28 (b) 32 (c) 31 (d) 30
  18. 18.The mean of 7 numbers is 38. When the number 46 is added to them, what is the new mean? (a) 39 (b) 38 (c) 40 (d) 42
  19. 19.What is the mean of 8, 11, 19, 9, 13 and 12? (a) 14 (b) 11 (c) 12 (d) 13
  20. 20.What is the median of 38, 7, 26, 28 and 21? (a) 21 (b) 26 (c) 28 (d) 24
  21. 21.What is the mode of 7, 6, 19, 6, 19, 3 and 6? (a) 3 (b) 19 (c) 7 (d) 6
  22. 22.The mean of 3 numbers is 35. When the number 31 is added to them, what is the new mean? (a) 33 (b) 36 (c) 35 (d) 34
  23. 23.The mean of 9 numbers is 21. When the number 41 is added to them, what is the new mean? (a) 23 (b) 31 (c) 21 (d) 24
  24. 24.The mean of 4 numbers is 37. When the number 47 is added to them, what is the new mean? (a) 40 (b) 39 (c) 37 (d) 42
  25. 25.What is the mean of 19, 16, 17, 18 and 5? (a) 14 (b) 16 (c) 17 (d) 15
  26. 26.What is the mean of 5, 6, 9 and 12? (a) 8 (b) 7 (c) 9 (d) 10
  27. 27.The mean of 3 numbers is 28. When the number 32 is added to them, what is the new mean? (a) 30 (b) 28 (c) 31 (d) 29
  28. 28.What is the median of 17, 29, 36, 26 and 16? (a) 29 (b) 17 (c) 26 (d) 36
  29. 29.What is the median of 35, 5, 40, 25 and 4? (a) 5 (b) 40 (c) 35 (d) 25
  30. 30.What is the mean of 7, 9, 20, 2 and 17? (a) 12 (b) 11 (c) 13 (d) 10
  31. 31.The mean of 7 numbers is 33. When the number 65 is added to them, what is the new mean? (a) 37 (b) 38 (c) 49 (d) 33
  32. 32.What is the mode of 4, 4, 4, 3, 13, 13 and 2? (a) 2 (b) 4 (c) 3 (d) 13
  33. 33.The mean of 9 numbers is 17. When the number 37 is added to them, what is the new mean? (a) 17 (b) 27 (c) 19 (d) 20
  34. 34.The mean of 4 numbers is 27. When the number 47 is added to them, what is the new mean? (a) 37 (b) 31 (c) 27 (d) 32
  35. 35.What is the median of 24, 33, 5, 6, 13, 7 and 38? (a) 6 (b) 18 (c) 24 (d) 13
  36. 36.The mean of 9 numbers is 36. When the number 66 is added to them, what is the new mean? (a) 40 (b) 39 (c) 51 (d) 36
  37. 37.The mean of 4 numbers is 39. When the number 29 is added to them, what is the new mean? (a) 38 (b) 39 (c) 37 (d) 34
  38. 38.What is the median of 9, 10, 23, 12 and 32? (a) 13 (b) 23 (c) 12 (d) 10
  39. 39.What is the median of 17, 6, 2, 31 and 40? (a) 6 (b) 31 (c) 2 (d) 17
  40. 40.What is the median of 7, 1, 27, 21 and 33? (a) 27 (b) 22 (c) 21 (d) 7

Answer key

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

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