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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 346 · 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 5, 17, 7, 2, 15 and 20? (a) 10 (b) 12 (c) 13 (d) 11
  2. 2.What is the mode of 17, 7, 17, 5, 17, 8 and 5? (a) 8 (b) 17 (c) 7 (d) 5
  3. 3.The mean of 8 numbers is 35. When the number 8 is added to them, what is the new mean? (a) 32 (b) 31 (c) 33 (d) 35
  4. 4.What is the mode of 6, 1, 1, 20, 8, 20 and 1? (a) 6 (b) 8 (c) 20 (d) 1
  5. 5.What is the median of 39, 3, 12, 33, 36, 29 and 40? (a) 34 (b) 33 (c) 29 (d) 36
  6. 6.What is the mean of 4, 4, 9 and 11? (a) 7 (b) 9 (c) 8 (d) 6
  7. 7.What is the mode of 16, 16, 1, 5, 4, 4 and 16? (a) 16 (b) 1 (c) 5 (d) 4
  8. 8.What is the mean of 12, 5, 8, 6, 19 and 4? (a) 11 (b) 10 (c) 9 (d) 8
  9. 9.What is the mode of 15, 15, 6, 3, 6, 6 and 8? (a) 15 (b) 6 (c) 8 (d) 3
  10. 10.What is the mode of 12, 15, 14, 18, 12, 14 and 14? (a) 12 (b) 14 (c) 18 (d) 15
  11. 11.What is the mode of 7, 4, 5, 7, 5, 19 and 5? (a) 4 (b) 19 (c) 7 (d) 5
  12. 12.What is the median of 15, 20, 31, 35 and 24? (a) 20 (b) 24 (c) 31 (d) 25
  13. 13.What is the median of 37, 12, 25, 7 and 36? (a) 12 (b) 26 (c) 25 (d) 36
  14. 14.What is the mode of 2, 9, 9, 15, 2, 3 and 2? (a) 9 (b) 3 (c) 15 (d) 2
  15. 15.What is the median of 2, 33, 38, 9, 5, 32 and 12? (a) 12 (b) 9 (c) 32 (d) 13
  16. 16.The mean of 5 numbers is 21. When the number 3 is added to them, what is the new mean? (a) 12 (b) 18 (c) 19 (d) 21
  17. 17.The mean of 3 numbers is 10. When the number 22 is added to them, what is the new mean? (a) 10 (b) 14 (c) 16 (d) 13
  18. 18.What is the mean of 5, 14, 17 and 4? (a) 10 (b) 8 (c) 9 (d) 11
  19. 19.What is the mode of 17, 4, 17, 2, 4, 16 and 4? (a) 16 (b) 4 (c) 2 (d) 17
  20. 20.The mean of 5 numbers is 32. When the number 8 is added to them, what is the new mean? (a) 29 (b) 32 (c) 28 (d) 20
  21. 21.What is the median of 18, 33, 14, 26, 27, 20 and 29? (a) 27 (b) 25 (c) 26 (d) 20
  22. 22.What is the mean of 11, 12, 19, 3 and 5? (a) 12 (b) 11 (c) 9 (d) 10
  23. 23.The mean of 7 numbers is 13. When the number 21 is added to them, what is the new mean? (a) 14 (b) 17 (c) 15 (d) 13
  24. 24.The mean of 5 numbers is 36. When the number 42 is added to them, what is the new mean? (a) 39 (b) 36 (c) 37 (d) 38
  25. 25.The mean of 9 numbers is 16. When the number 46 is added to them, what is the new mean? (a) 31 (b) 19 (c) 20 (d) 16
  26. 26.What is the mean of 17, 16, 10, 14 and 8? (a) 12 (b) 13 (c) 15 (d) 14
  27. 27.What is the mode of 2, 15, 17, 8, 8, 15 and 15? (a) 17 (b) 8 (c) 2 (d) 15
  28. 28.What is the median of 9, 1, 6, 28 and 36? (a) 16 (b) 28 (c) 6 (d) 9
  29. 29.What is the mode of 3, 9, 19, 20, 9, 3 and 9? (a) 20 (b) 3 (c) 9 (d) 19
  30. 30.The mean of 5 numbers is 24. When the number 6 is added to them, what is the new mean? (a) 15 (b) 24 (c) 21 (d) 22
  31. 31.What is the median of 33, 8, 3, 20, 25, 38 and 1? (a) 25 (b) 21 (c) 8 (d) 20
  32. 32.The mean of 8 numbers is 30. When the number 12 is added to them, what is the new mean? (a) 30 (b) 28 (c) 21 (d) 29
  33. 33.What is the mode of 20, 9, 7, 9, 7, 13 and 9? (a) 20 (b) 13 (c) 9 (d) 7
  34. 34.What is the mode of 1, 9, 1, 9, 1, 2 and 17? (a) 17 (b) 2 (c) 1 (d) 9
  35. 35.What is the median of 29, 24, 18, 23 and 3? (a) 23 (b) 24 (c) 22 (d) 18
  36. 36.What is the mode of 7, 5, 10, 15, 7, 7 and 15? (a) 7 (b) 10 (c) 15 (d) 5
  37. 37.What is the mean of 4, 2, 12 and 10? (a) 9 (b) 7 (c) 8 (d) 6
  38. 38.What is the mode of 3, 2, 2, 5, 18, 2 and 18? (a) 5 (b) 18 (c) 2 (d) 3
  39. 39.What is the mode of 1, 16, 1, 1, 5, 18 and 5? (a) 16 (b) 18 (c) 5 (d) 1
  40. 40.What is the mean of 8, 16, 6, 15, 4 and 11? (a) 9 (b) 10 (c) 11 (d) 12

Answer key

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

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