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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 1 · 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 20, 2, 18, 20, 16, 16 and 16? (a) 2 (b) 20 (c) 16 (d) 18
  2. 2.What is the mean of 3, 6, 6, 13, 19 and 13? (a) 12 (b) 11 (c) 9 (d) 10
  3. 3.What is the mean of 15, 2, 14 and 21? (a) 15 (b) 12 (c) 14 (d) 13
  4. 4.What is the mode of 14, 12, 1, 12, 17, 12 and 14? (a) 17 (b) 12 (c) 14 (d) 1
  5. 5.The mean of 9 numbers is 38. When the number 58 is added to them, what is the new mean? (a) 40 (b) 38 (c) 41 (d) 48
  6. 6.The mean of 9 numbers is 40. When the number 10 is added to them, what is the new mean? (a) 37 (b) 38 (c) 40 (d) 25
  7. 7.What is the mean of 8, 12, 3 and 21? (a) 11 (b) 12 (c) 10 (d) 13
  8. 8.What is the mode of 1, 1, 19, 19, 19, 5 and 9? (a) 9 (b) 19 (c) 1 (d) 5
  9. 9.What is the median of 35, 9, 3, 21 and 40? (a) 3 (b) 21 (c) 9 (d) 35
  10. 10.What is the mode of 18, 16, 18, 11, 11, 11 and 14? (a) 18 (b) 14 (c) 11 (d) 16
  11. 11.What is the mode of 17, 17, 13, 17, 3, 1 and 1? (a) 13 (b) 17 (c) 3 (d) 1
  12. 12.What is the mean of 6, 15, 5, 10, 12 and 6? (a) 8 (b) 10 (c) 11 (d) 9
  13. 13.What is the mean of 6, 5, 14, 10, 9 and 22? (a) 10 (b) 13 (c) 12 (d) 11
  14. 14.The mean of 9 numbers is 26. When the number 16 is added to them, what is the new mean? (a) 21 (b) 24 (c) 25 (d) 26
  15. 15.The mean of 8 numbers is 25. When the number 16 is added to them, what is the new mean? (a) 26 (b) 23 (c) 24 (d) 25
  16. 16.What is the mean of 5, 16, 8 and 7? (a) 9 (b) 12 (c) 8 (d) 10
  17. 17.What is the mean of 18, 10, 7 and 17? (a) 13 (b) 12 (c) 14 (d) 15
  18. 18.The mean of 5 numbers is 24. When the number 18 is added to them, what is the new mean? (a) 24 (b) 21 (c) 23 (d) 22
  19. 19.The mean of 5 numbers is 27. When the number 39 is added to them, what is the new mean? (a) 29 (b) 33 (c) 30 (d) 27
  20. 20.What is the mode of 8, 2, 2, 8, 15, 2 and 18? (a) 15 (b) 18 (c) 8 (d) 2
  21. 21.What is the mode of 6, 6, 14, 12, 15, 15 and 6? (a) 14 (b) 6 (c) 15 (d) 12
  22. 22.The mean of 4 numbers is 20. When the number 10 is added to them, what is the new mean? (a) 15 (b) 18 (c) 19 (d) 20
  23. 23.The mean of 8 numbers is 22. When the number 13 is added to them, what is the new mean? (a) 22 (b) 21 (c) 23 (d) 20
  24. 24.What is the mean of 5, 5, 7 and 15? (a) 7 (b) 10 (c) 8 (d) 9
  25. 25.What is the mode of 18, 20, 1, 18, 15, 15 and 15? (a) 18 (b) 1 (c) 15 (d) 20
  26. 26.What is the mean of 14, 17, 9, 16 and 4? (a) 13 (b) 15 (c) 12 (d) 10
  27. 27.What is the median of 20, 9, 1, 40 and 27? (a) 20 (b) 1 (c) 27 (d) 9
  28. 28.What is the mode of 7, 3, 3, 3, 8, 15 and 7? (a) 15 (b) 7 (c) 3 (d) 8
  29. 29.The mean of 5 numbers is 32. When the number 14 is added to them, what is the new mean? (a) 30 (b) 32 (c) 23 (d) 29
  30. 30.What is the mean of 12, 16, 10, 5 and 12? (a) 10 (b) 13 (c) 11 (d) 12
  31. 31.What is the mode of 19, 19, 10, 17, 10, 1 and 10? (a) 17 (b) 1 (c) 19 (d) 10
  32. 32.What is the mean of 15, 8, 2 and 7? (a) 10 (b) 8 (c) 7 (d) 9
  33. 33.What is the mean of 15, 8, 10, 14, 15 and 16? (a) 15 (b) 13 (c) 12 (d) 14
  34. 34.What is the mode of 6, 15, 20, 15, 19, 20 and 20? (a) 19 (b) 15 (c) 6 (d) 20
  35. 35.What is the mean of 7, 3, 19, 20 and 16? (a) 12 (b) 13 (c) 14 (d) 15
  36. 36.What is the median of 28, 18, 29, 31, 7, 5 and 27? (a) 27 (b) 18 (c) 28 (d) 31
  37. 37.What is the mode of 5, 1, 8, 8, 19, 5 and 5? (a) 5 (b) 8 (c) 1 (d) 19
  38. 38.What is the mode of 14, 1, 8, 13, 1, 1 and 13? (a) 1 (b) 13 (c) 14 (d) 8
  39. 39.What is the mode of 15, 8, 10, 8, 15, 8 and 1? (a) 10 (b) 1 (c) 15 (d) 8
  40. 40.The mean of 5 numbers is 23. When the number 29 is added to them, what is the new mean? (a) 23 (b) 25 (c) 24 (d) 26

Answer key

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

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