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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 825 · 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 2, 29, 23, 21, 36, 22 and 31? (a) 23 (b) 22 (c) 21 (d) 29
  2. 2.What is the median of 32, 29, 4, 14, 31, 24 and 6? (a) 29 (b) 14 (c) 24 (d) 20
  3. 3.What is the mode of 12, 13, 10, 9, 9, 9 and 10? (a) 12 (b) 13 (c) 10 (d) 9
  4. 4.The mean of 3 numbers is 30. When the number 14 is added to them, what is the new mean? (a) 22 (b) 27 (c) 30 (d) 26
  5. 5.What is the mean of 4, 19, 17, 16 and 4? (a) 15 (b) 10 (c) 13 (d) 12
  6. 6.What is the median of 13, 28, 11, 35, 10, 14 and 23? (a) 14 (b) 23 (c) 13 (d) 35
  7. 7.What is the mode of 6, 15, 11, 18, 18, 6 and 18? (a) 11 (b) 15 (c) 18 (d) 6
  8. 8.What is the mode of 12, 19, 1, 7, 7, 12 and 12? (a) 12 (b) 19 (c) 1 (d) 7
  9. 9.What is the mode of 20, 9, 4, 4, 4, 20 and 14? (a) 9 (b) 20 (c) 4 (d) 14
  10. 10.The mean of 9 numbers is 38. When the number 18 is added to them, what is the new mean? (a) 28 (b) 36 (c) 38 (d) 37
  11. 11.The mean of 5 numbers is 19. When the number 37 is added to them, what is the new mean? (a) 28 (b) 23 (c) 19 (d) 22
  12. 12.What is the mean of 19, 3, 2 and 20? (a) 11 (b) 13 (c) 12 (d) 10
  13. 13.What is the median of 3, 9, 17, 13 and 12? (a) 13 (b) 17 (c) 12 (d) 9
  14. 14.The mean of 3 numbers is 21. When the number 13 is added to them, what is the new mean? (a) 17 (b) 21 (c) 20 (d) 19
  15. 15.What is the mode of 9, 5, 5, 12, 17, 12 and 5? (a) 12 (b) 5 (c) 9 (d) 17
  16. 16.What is the mode of 7, 2, 5, 5, 2, 15 and 5? (a) 7 (b) 15 (c) 5 (d) 2
  17. 17.What is the mode of 1, 9, 1, 16, 16, 14 and 16? (a) 9 (b) 1 (c) 14 (d) 16
  18. 18.What is the mean of 4, 7, 7, 4 and 8? (a) 7 (b) 6 (c) 8 (d) 5
  19. 19.What is the mean of 14, 18, 7, 7 and 14? (a) 12 (b) 13 (c) 15 (d) 10
  20. 20.What is the mode of 5, 20, 16, 5, 20, 8 and 5? (a) 8 (b) 5 (c) 16 (d) 20
  21. 21.What is the mode of 7, 15, 16, 15, 7, 14 and 15? (a) 7 (b) 14 (c) 16 (d) 15
  22. 22.What is the mode of 11, 16, 1, 16, 11, 16 and 20? (a) 20 (b) 11 (c) 16 (d) 1
  23. 23.The mean of 4 numbers is 37. When the number 27 is added to them, what is the new mean? (a) 37 (b) 32 (c) 35 (d) 36
  24. 24.What is the mean of 5, 8, 8, 13, 10 and 22? (a) 11 (b) 12 (c) 13 (d) 10
  25. 25.What is the median of 27, 10, 19, 3, 16, 5 and 2? (a) 5 (b) 16 (c) 10 (d) 3
  26. 26.The mean of 9 numbers is 29. When the number 69 is added to them, what is the new mean? (a) 34 (b) 49 (c) 29 (d) 33
  27. 27.What is the mean of 2, 10, 3, 4, 3 and 20? (a) 8 (b) 9 (c) 7 (d) 6
  28. 28.What is the median of 1, 36, 29, 37 and 10? (a) 30 (b) 29 (c) 36 (d) 10
  29. 29.What is the mean of 9, 15, 5, 3 and 8? (a) 10 (b) 7 (c) 8 (d) 9
  30. 30.What is the mode of 7, 9, 3, 7, 9, 19 and 7? (a) 19 (b) 7 (c) 3 (d) 9
  31. 31.The mean of 6 numbers is 22. When the number 8 is added to them, what is the new mean? (a) 21 (b) 22 (c) 20 (d) 15
  32. 32.What is the mode of 2, 13, 4, 13, 14, 4 and 13? (a) 4 (b) 14 (c) 13 (d) 2
  33. 33.The mean of 4 numbers is 32. When the number 47 is added to them, what is the new mean? (a) 36 (b) 34 (c) 32 (d) 35
  34. 34.What is the median of 23, 4, 34, 38 and 31? (a) 23 (b) 34 (c) 31 (d) 26
  35. 35.What is the mean of 3, 6, 2 and 5? (a) 4 (b) 6 (c) 5 (d) 3
  36. 36.What is the mode of 13, 10, 10, 4, 20, 10 and 13? (a) 10 (b) 20 (c) 13 (d) 4
  37. 37.The mean of 4 numbers is 26. When the number 16 is added to them, what is the new mean? (a) 25 (b) 26 (c) 24 (d) 21
  38. 38.What is the mean of 5, 3, 13, 2 and 7? (a) 5 (b) 6 (c) 8 (d) 7
  39. 39.What is the mode of 3, 1, 1, 9, 6, 1 and 3? (a) 9 (b) 1 (c) 6 (d) 3
  40. 40.What is the median of 5, 17, 9, 14, 13, 27 and 40? (a) 14 (b) 17 (c) 15 (d) 13

Answer key

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

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