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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 632 · 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 11, 16, 16, 16, 7, 18 and 7? (a) 11 (b) 16 (c) 7 (d) 18
  2. 2.What is the mode of 16, 16, 16, 20, 5, 18 and 18? (a) 18 (b) 20 (c) 5 (d) 16
  3. 3.The mean of 4 numbers is 38. When the number 23 is added to them, what is the new mean? (a) 36 (b) 34 (c) 35 (d) 38
  4. 4.The mean of 5 numbers is 18. When the number 6 is added to them, what is the new mean? (a) 16 (b) 18 (c) 12 (d) 17
  5. 5.What is the mode of 3, 9, 10, 3, 3, 4 and 10? (a) 10 (b) 9 (c) 3 (d) 4
  6. 6.What is the mode of 10, 5, 7, 20, 7, 5 and 7? (a) 5 (b) 10 (c) 20 (d) 7
  7. 7.The mean of 4 numbers is 16. When the number 6 is added to them, what is the new mean? (a) 11 (b) 15 (c) 14 (d) 16
  8. 8.What is the mode of 3, 20, 5, 3, 20, 20 and 1? (a) 1 (b) 5 (c) 3 (d) 20
  9. 9.What is the median of 35, 22, 10, 36, 38, 5 and 28? (a) 28 (b) 36 (c) 35 (d) 22
  10. 10.What is the median of 34, 15, 1, 13 and 5? (a) 13 (b) 1 (c) 15 (d) 5
  11. 11.The mean of 7 numbers is 21. When the number 5 is added to them, what is the new mean? (a) 19 (b) 13 (c) 21 (d) 20
  12. 12.What is the mean of 14, 12, 18 and 8? (a) 13 (b) 14 (c) 12 (d) 15
  13. 13.The mean of 9 numbers is 38. When the number 58 is added to them, what is the new mean? (a) 38 (b) 40 (c) 41 (d) 48
  14. 14.What is the mode of 6, 16, 12, 1, 16, 16 and 12? (a) 16 (b) 12 (c) 1 (d) 6
  15. 15.What is the mean of 20, 7, 7, 16, 3 and 13? (a) 10 (b) 12 (c) 13 (d) 11
  16. 16.What is the mean of 5, 18, 10, 15 and 17? (a) 13 (b) 15 (c) 14 (d) 12
  17. 17.What is the mean of 4, 12, 6, 3 and 20? (a) 8 (b) 9 (c) 11 (d) 10
  18. 18.The mean of 5 numbers is 40. When the number 46 is added to them, what is the new mean? (a) 40 (b) 42 (c) 43 (d) 41
  19. 19.What is the mode of 8, 8, 4, 4, 2, 8 and 20? (a) 20 (b) 8 (c) 4 (d) 2
  20. 20.The mean of 6 numbers is 32. When the number 53 is added to them, what is the new mean? (a) 34 (b) 36 (c) 32 (d) 35
  21. 21.What is the mode of 16, 10, 10, 19, 1, 10 and 1? (a) 19 (b) 1 (c) 16 (d) 10
  22. 22.What is the mean of 16, 10, 8, 5, 4 and 11? (a) 8 (b) 11 (c) 9 (d) 10
  23. 23.What is the median of 9, 19, 21, 35, 27, 32 and 4? (a) 19 (b) 21 (c) 35 (d) 27
  24. 24.What is the mean of 4, 18, 9, 6 and 8? (a) 8 (b) 11 (c) 9 (d) 10
  25. 25.The mean of 8 numbers is 17. When the number 53 is added to them, what is the new mean? (a) 17 (b) 21 (c) 22 (d) 35
  26. 26.The mean of 5 numbers is 22. When the number 16 is added to them, what is the new mean? (a) 20 (b) 19 (c) 21 (d) 22
  27. 27.What is the mean of 13, 2, 3, 13, 4 and 19? (a) 8 (b) 11 (c) 10 (d) 9
  28. 28.What is the mode of 11, 7, 11, 11, 6, 5 and 5? (a) 7 (b) 11 (c) 6 (d) 5
  29. 29.What is the median of 21, 19, 7, 15 and 20? (a) 7 (b) 20 (c) 15 (d) 19
  30. 30.What is the mode of 20, 20, 4, 4, 4, 10 and 5? (a) 5 (b) 4 (c) 10 (d) 20
  31. 31.The mean of 3 numbers is 29. When the number 41 is added to them, what is the new mean? (a) 35 (b) 32 (c) 29 (d) 33
  32. 32.What is the mode of 4, 16, 2, 16, 12, 16 and 4? (a) 2 (b) 16 (c) 12 (d) 4
  33. 33.What is the mode of 2, 2, 7, 7, 6, 9 and 7? (a) 9 (b) 7 (c) 6 (d) 2
  34. 34.What is the mode of 1, 13, 13, 1, 16, 1 and 4? (a) 1 (b) 16 (c) 13 (d) 4
  35. 35.What is the mean of 16, 18, 15 and 15? (a) 18 (b) 15 (c) 17 (d) 16
  36. 36.What is the mode of 1, 17, 12, 12, 17, 12 and 6? (a) 6 (b) 1 (c) 12 (d) 17
  37. 37.What is the mode of 4, 2, 16, 6, 4, 6 and 4? (a) 6 (b) 2 (c) 4 (d) 16
  38. 38.What is the mode of 3, 5, 3, 9, 1, 3 and 1? (a) 1 (b) 5 (c) 9 (d) 3
  39. 39.What is the mode of 18, 3, 3, 19, 19, 7 and 3? (a) 18 (b) 7 (c) 3 (d) 19
  40. 40.What is the mode of 7, 12, 10, 12, 7, 4 and 7? (a) 7 (b) 4 (c) 10 (d) 12

Answer key

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

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