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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 427 · 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 9 numbers is 26. When the number 56 is added to them, what is the new mean? (a) 26 (b) 41 (c) 29 (d) 30
  2. 2.What is the mean of 9, 20, 18, 13, 14 and 22? (a) 15 (b) 18 (c) 17 (d) 16
  3. 3.The mean of 4 numbers is 17. When the number 22 is added to them, what is the new mean? (a) 18 (b) 19 (c) 17 (d) 20
  4. 4.What is the mean of 3, 19, 12, 20 and 11? (a) 14 (b) 15 (c) 13 (d) 12
  5. 5.What is the median of 30, 11, 5, 34 and 14? (a) 14 (b) 30 (c) 11 (d) 5
  6. 6.What is the mode of 16, 2, 10, 10, 1, 10 and 1? (a) 16 (b) 2 (c) 10 (d) 1
  7. 7.What is the mean of 7, 17, 8, 14, 12 and 8? (a) 10 (b) 12 (c) 11 (d) 13
  8. 8.What is the median of 5, 9, 14, 1, 16, 20 and 25? (a) 14 (b) 16 (c) 1 (d) 9
  9. 9.What is the median of 18, 24, 16, 39, 13, 9 and 22? (a) 22 (b) 16 (c) 18 (d) 39
  10. 10.What is the mode of 16, 19, 16, 6, 12, 6 and 16? (a) 12 (b) 19 (c) 16 (d) 6
  11. 11.What is the mean of 19, 20, 20 and 21? (a) 19 (b) 20 (c) 21 (d) 16
  12. 12.What is the mean of 5, 13, 6 and 16? (a) 10 (b) 11 (c) 9 (d) 8
  13. 13.The mean of 9 numbers is 27. When the number 67 is added to them, what is the new mean? (a) 47 (b) 27 (c) 32 (d) 31
  14. 14.What is the mode of 10, 9, 16, 5, 10, 16 and 16? (a) 10 (b) 16 (c) 9 (d) 5
  15. 15.What is the mode of 16, 16, 3, 3, 3, 1 and 9? (a) 16 (b) 9 (c) 1 (d) 3
  16. 16.What is the median of 32, 39, 21, 35 and 40? (a) 21 (b) 39 (c) 35 (d) 32
  17. 17.What is the median of 18, 22, 34, 15, 7, 3 and 25? (a) 15 (b) 18 (c) 19 (d) 22
  18. 18.What is the mean of 4, 6, 11, 18 and 6? (a) 10 (b) 11 (c) 8 (d) 9
  19. 19.The mean of 8 numbers is 17. When the number 26 is added to them, what is the new mean? (a) 17 (b) 19 (c) 20 (d) 18
  20. 20.What is the mean of 15, 14, 3, 11 and 7? (a) 11 (b) 9 (c) 10 (d) 12
  21. 21.The mean of 5 numbers is 38. When the number 14 is added to them, what is the new mean? (a) 38 (b) 34 (c) 26 (d) 35
  22. 22.What is the mode of 5, 13, 6, 13, 2, 5 and 5? (a) 6 (b) 5 (c) 13 (d) 2
  23. 23.What is the mean of 2, 7, 6, 4 and 21? (a) 10 (b) 7 (c) 9 (d) 8
  24. 24.What is the median of 26, 10, 28, 36 and 12? (a) 27 (b) 28 (c) 12 (d) 26
  25. 25.What is the median of 34, 4, 27, 9, 1, 18 and 8? (a) 9 (b) 18 (c) 8 (d) 10
  26. 26.What is the mean of 19, 19, 6, 12, 7 and 21? (a) 13 (b) 12 (c) 15 (d) 14
  27. 27.What is the mean of 6, 14, 15, 6, 18 and 7? (a) 12 (b) 13 (c) 11 (d) 10
  28. 28.What is the median of 31, 30, 1, 13, 15, 12 and 34? (a) 13 (b) 15 (c) 16 (d) 30
  29. 29.What is the median of 2, 24, 5, 9 and 29? (a) 5 (b) 24 (c) 10 (d) 9
  30. 30.What is the median of 8, 11, 10, 30, 7, 20 and 23? (a) 20 (b) 10 (c) 11 (d) 30
  31. 31.What is the median of 15, 35, 5, 39, 34, 12 and 20? (a) 15 (b) 34 (c) 20 (d) 39
  32. 32.What is the mode of 5, 20, 5, 10, 10, 5 and 8? (a) 20 (b) 8 (c) 10 (d) 5
  33. 33.What is the median of 11, 21, 40, 4 and 27? (a) 11 (b) 21 (c) 27 (d) 40
  34. 34.What is the median of 38, 8, 11, 1, 21, 3 and 29? (a) 8 (b) 21 (c) 11 (d) 1
  35. 35.What is the median of 17, 5, 21, 2 and 24? (a) 17 (b) 5 (c) 18 (d) 21
  36. 36.What is the mode of 2, 12, 2, 12, 12, 10 and 13? (a) 2 (b) 13 (c) 12 (d) 10
  37. 37.What is the mode of 4, 15, 1, 1, 15, 15 and 2? (a) 2 (b) 15 (c) 4 (d) 1
  38. 38.The mean of 3 numbers is 37. When the number 29 is added to them, what is the new mean? (a) 35 (b) 37 (c) 36 (d) 33
  39. 39.What is the mean of 2, 3, 5 and 6? (a) 4 (b) 3 (c) 6 (d) 5
  40. 40.What is the mode of 1, 8, 1, 19, 1, 8 and 3? (a) 19 (b) 3 (c) 8 (d) 1

Answer key

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

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