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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 403 · 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 10, 11, 11, 5, 14, 10 and 11? (a) 5 (b) 11 (c) 10 (d) 14
  2. 2.What is the mode of 20, 2, 15, 2, 2, 1 and 1? (a) 15 (b) 2 (c) 1 (d) 20
  3. 3.The mean of 9 numbers is 22. When the number 62 is added to them, what is the new mean? (a) 27 (b) 22 (c) 42 (d) 26
  4. 4.The mean of 5 numbers is 11. When the number 23 is added to them, what is the new mean? (a) 11 (b) 13 (c) 14 (d) 17
  5. 5.What is the mean of 19, 19, 5 and 5? (a) 11 (b) 13 (c) 12 (d) 16
  6. 6.What is the mode of 9, 3, 7, 6, 6, 6 and 3? (a) 9 (b) 3 (c) 7 (d) 6
  7. 7.What is the mode of 4, 17, 20, 20, 20, 3 and 3? (a) 17 (b) 20 (c) 3 (d) 4
  8. 8.What is the mode of 14, 4, 4, 14, 19, 14 and 5? (a) 4 (b) 19 (c) 5 (d) 14
  9. 9.What is the mean of 10, 8, 3, 13, 15 and 5? (a) 10 (b) 8 (c) 9 (d) 11
  10. 10.What is the mean of 14, 18, 7, 8 and 23? (a) 15 (b) 16 (c) 14 (d) 13
  11. 11.What is the mean of 7, 7, 17, 4, 9 and 16? (a) 12 (b) 10 (c) 11 (d) 9
  12. 12.What is the mean of 9, 14, 15, 12 and 5? (a) 13 (b) 12 (c) 10 (d) 11
  13. 13.What is the mode of 19, 3, 19, 19, 3, 15 and 7? (a) 15 (b) 7 (c) 3 (d) 19
  14. 14.What is the median of 20, 22, 30, 23, 19, 39 and 26? (a) 24 (b) 23 (c) 26 (d) 22
  15. 15.What is the mode of 1, 17, 4, 1, 16, 16 and 1? (a) 17 (b) 4 (c) 1 (d) 16
  16. 16.What is the mean of 3, 3, 3 and 19? (a) 9 (b) 6 (c) 7 (d) 8
  17. 17.What is the mean of 6, 14, 11, 3, 7 and 7? (a) 7 (b) 8 (c) 9 (d) 10
  18. 18.What is the mode of 14, 14, 1, 7, 1, 20 and 14? (a) 14 (b) 1 (c) 7 (d) 20
  19. 19.What is the mean of 3, 5, 9, 3, 20 and 8? (a) 9 (b) 10 (c) 8 (d) 7
  20. 20.What is the mode of 3, 17, 18, 10, 10, 10 and 18? (a) 10 (b) 3 (c) 17 (d) 18
  21. 21.The mean of 8 numbers is 19. When the number 1 is added to them, what is the new mean? (a) 17 (b) 10 (c) 18 (d) 19
  22. 22.The mean of 5 numbers is 40. When the number 46 is added to them, what is the new mean? (a) 42 (b) 41 (c) 43 (d) 40
  23. 23.The mean of 8 numbers is 20. When the number 29 is added to them, what is the new mean? (a) 22 (b) 23 (c) 20 (d) 21
  24. 24.What is the mode of 3, 14, 20, 14, 20, 11 and 14? (a) 20 (b) 14 (c) 3 (d) 11
  25. 25.What is the median of 33, 24, 31, 23 and 36? (a) 24 (b) 31 (c) 33 (d) 32
  26. 26.What is the mode of 16, 14, 4, 16, 16, 14 and 3? (a) 14 (b) 4 (c) 3 (d) 16
  27. 27.What is the mean of 10, 5, 4, 3 and 8? (a) 8 (b) 7 (c) 6 (d) 5
  28. 28.What is the mode of 9, 7, 9, 7, 16, 7 and 4? (a) 16 (b) 9 (c) 4 (d) 7
  29. 29.What is the median of 23, 18, 7, 33 and 16? (a) 16 (b) 23 (c) 7 (d) 18
  30. 30.What is the median of 9, 15, 3, 24 and 11? (a) 3 (b) 11 (c) 9 (d) 15
  31. 31.What is the mode of 8, 3, 8, 3, 18, 8 and 7? (a) 3 (b) 18 (c) 7 (d) 8
  32. 32.What is the mode of 8, 6, 10, 10, 10, 8 and 4? (a) 8 (b) 6 (c) 4 (d) 10
  33. 33.The mean of 3 numbers is 27. When the number 19 is added to them, what is the new mean? (a) 26 (b) 27 (c) 25 (d) 23
  34. 34.What is the mode of 18, 6, 1, 5, 1, 5 and 1? (a) 5 (b) 18 (c) 6 (d) 1
  35. 35.What is the mean of 11, 20, 12, 16, 6 and 19? (a) 12 (b) 14 (c) 15 (d) 13
  36. 36.The mean of 3 numbers is 39. When the number 35 is added to them, what is the new mean? (a) 37 (b) 39 (c) 38 (d) 40
  37. 37.The mean of 4 numbers is 19. When the number 9 is added to them, what is the new mean? (a) 17 (b) 14 (c) 18 (d) 19
  38. 38.What is the mean of 19, 10, 3 and 4? (a) 8 (b) 9 (c) 12 (d) 10
  39. 39.What is the mode of 8, 8, 5, 15, 15, 9 and 8? (a) 9 (b) 15 (c) 5 (d) 8
  40. 40.What is the mode of 18, 4, 7, 18, 18, 3 and 3? (a) 18 (b) 3 (c) 7 (d) 4

Answer key

  1. 11
  2. 2
  3. 26
  4. 13
  5. 12
  6. 6
  7. 20
  8. 14
  9. 9
  10. 14
  11. 10
  12. 11
  13. 19
  14. 23
  15. 1
  16. 7
  17. 8
  18. 14
  19. 8
  20. 10
  21. 17
  22. 41
  23. 21
  24. 14
  25. 31
  26. 16
  27. 6
  28. 7
  29. 18
  30. 11
  31. 8
  32. 10
  33. 25
  34. 1
  35. 14
  36. 38
  37. 17
  38. 9
  39. 8
  40. 18

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