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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 181 · 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.The mean of 8 numbers is 23. When the number 14 is added to them, what is the new mean? (a) 24 (b) 23 (c) 22 (d) 21
  2. 2.What is the median of 30, 33, 28, 20 and 25? (a) 28 (b) 25 (c) 29 (d) 30
  3. 3.What is the mean of 16, 7, 8 and 21? (a) 13 (b) 15 (c) 12 (d) 14
  4. 4.What is the mode of 11, 11, 1, 1, 6, 13 and 11? (a) 11 (b) 13 (c) 6 (d) 1
  5. 5.What is the mode of 4, 4, 2, 14, 2, 2 and 20? (a) 20 (b) 2 (c) 14 (d) 4
  6. 6.What is the median of 30, 32, 27, 33 and 12? (a) 30 (b) 31 (c) 32 (d) 27
  7. 7.What is the mode of 6, 14, 14, 15, 14, 15 and 17? (a) 6 (b) 14 (c) 15 (d) 17
  8. 8.The mean of 9 numbers is 34. When the number 74 is added to them, what is the new mean? (a) 38 (b) 34 (c) 54 (d) 39
  9. 9.The mean of 3 numbers is 40. When the number 44 is added to them, what is the new mean? (a) 40 (b) 42 (c) 43 (d) 41
  10. 10.What is the median of 5, 33, 36, 26 and 1? (a) 33 (b) 5 (c) 36 (d) 26
  11. 11.What is the mean of 15, 12, 9, 20 and 4? (a) 15 (b) 13 (c) 10 (d) 12
  12. 12.What is the mode of 18, 14, 2, 18, 2, 2 and 8? (a) 18 (b) 14 (c) 8 (d) 2
  13. 13.What is the mean of 4, 15, 17, 16 and 3? (a) 13 (b) 12 (c) 10 (d) 11
  14. 14.What is the mode of 10, 11, 10, 14, 11, 9 and 11? (a) 11 (b) 9 (c) 14 (d) 10
  15. 15.The mean of 9 numbers is 25. When the number 65 is added to them, what is the new mean? (a) 45 (b) 25 (c) 29 (d) 30
  16. 16.What is the mode of 5, 3, 16, 13, 16, 5 and 16? (a) 3 (b) 5 (c) 16 (d) 13
  17. 17.What is the mean of 19, 9, 4 and 16? (a) 11 (b) 13 (c) 16 (d) 12
  18. 18.What is the mode of 9, 1, 19, 9, 11, 11 and 11? (a) 9 (b) 11 (c) 19 (d) 1
  19. 19.What is the mode of 8, 6, 11, 15, 8, 6 and 6? (a) 8 (b) 11 (c) 6 (d) 15
  20. 20.The mean of 6 numbers is 33. When the number 40 is added to them, what is the new mean? (a) 35 (b) 33 (c) 34 (d) 36
  21. 21.What is the mean of 20, 3, 18, 11 and 18? (a) 16 (b) 13 (c) 15 (d) 14
  22. 22.The mean of 3 numbers is 21. When the number 9 is added to them, what is the new mean? (a) 21 (b) 18 (c) 15 (d) 19
  23. 23.What is the median of 3, 28, 13, 8 and 12? (a) 8 (b) 12 (c) 11 (d) 13
  24. 24.What is the median of 39, 17, 11, 7, 18, 16 and 40? (a) 7 (b) 18 (c) 17 (d) 16
  25. 25.What is the mode of 2, 2, 12, 2, 15, 5 and 12? (a) 15 (b) 5 (c) 2 (d) 12
  26. 26.The mean of 8 numbers is 26. When the number 8 is added to them, what is the new mean? (a) 24 (b) 25 (c) 26 (d) 17
  27. 27.What is the mean of 12, 19, 3 and 10? (a) 12 (b) 10 (c) 11 (d) 13
  28. 28.What is the median of 19, 15, 30, 20, 18, 12 and 37? (a) 18 (b) 21 (c) 20 (d) 19
  29. 29.What is the mode of 16, 10, 4, 4, 17, 17 and 4? (a) 10 (b) 4 (c) 17 (d) 16
  30. 30.The mean of 3 numbers is 17. When the number 5 is added to them, what is the new mean? (a) 15 (b) 14 (c) 11 (d) 17
  31. 31.The mean of 8 numbers is 27. When the number 36 is added to them, what is the new mean? (a) 27 (b) 28 (c) 30 (d) 29
  32. 32.What is the mean of 7, 13, 16, 13 and 11? (a) 13 (b) 10 (c) 12 (d) 15
  33. 33.What is the mode of 3, 11, 1, 11, 3, 3 and 10? (a) 1 (b) 10 (c) 11 (d) 3
  34. 34.What is the mean of 13, 11, 4, 12, 6 and 14? (a) 11 (b) 10 (c) 12 (d) 9
  35. 35.What is the median of 33, 25, 1, 18, 3, 8 and 32? (a) 19 (b) 8 (c) 18 (d) 25
  36. 36.The mean of 4 numbers is 17. When the number 37 is added to them, what is the new mean? (a) 21 (b) 22 (c) 27 (d) 17
  37. 37.The mean of 8 numbers is 34. When the number 70 is added to them, what is the new mean? (a) 34 (b) 39 (c) 38 (d) 52
  38. 38.What is the mode of 10, 10, 18, 15, 10, 5 and 5? (a) 15 (b) 10 (c) 18 (d) 5
  39. 39.What is the mode of 20, 1, 12, 1, 15, 15 and 1? (a) 20 (b) 15 (c) 1 (d) 12
  40. 40.What is the mean of 12, 2, 16, 17 and 8? (a) 10 (b) 12 (c) 13 (d) 11

Answer key

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

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