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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 321 · 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 median of 37, 10, 23, 7, 26, 11 and 17? (a) 7 (b) 23 (c) 17 (d) 11
  2. 2.What is the mode of 8, 20, 3, 3, 18, 3 and 18? (a) 3 (b) 20 (c) 8 (d) 18
  3. 3.The mean of 6 numbers is 23. When the number 16 is added to them, what is the new mean? (a) 23 (b) 21 (c) 24 (d) 22
  4. 4.What is the mean of 2, 15, 3, 2 and 18? (a) 7 (b) 9 (c) 8 (d) 10
  5. 5.What is the median of 13, 1, 11, 6, 8, 7 and 31? (a) 11 (b) 7 (c) 6 (d) 8
  6. 6.What is the mean of 11, 16, 19, 15 and 4? (a) 14 (b) 13 (c) 12 (d) 15
  7. 7.What is the median of 24, 6, 28, 26, 33, 3 and 1? (a) 25 (b) 26 (c) 6 (d) 24
  8. 8.What is the mode of 8, 14, 4, 8, 7, 7 and 7? (a) 8 (b) 4 (c) 14 (d) 7
  9. 9.What is the median of 4, 7, 18, 13, 39, 26 and 38? (a) 19 (b) 13 (c) 26 (d) 18
  10. 10.The mean of 6 numbers is 38. When the number 10 is added to them, what is the new mean? (a) 24 (b) 38 (c) 35 (d) 34
  11. 11.What is the mode of 18, 3, 12, 18, 16, 16 and 16? (a) 16 (b) 18 (c) 12 (d) 3
  12. 12.The mean of 4 numbers is 22. When the number 42 is added to them, what is the new mean? (a) 22 (b) 27 (c) 26 (d) 32
  13. 13.What is the mode of 6, 4, 4, 4, 3, 16 and 3? (a) 16 (b) 6 (c) 4 (d) 3
  14. 14.What is the median of 26, 16, 39, 23 and 15? (a) 39 (b) 23 (c) 26 (d) 16
  15. 15.What is the mean of 4, 14, 13, 20 and 9? (a) 13 (b) 10 (c) 15 (d) 12
  16. 16.What is the mode of 16, 9, 5, 7, 7, 9 and 9? (a) 5 (b) 16 (c) 7 (d) 9
  17. 17.What is the median of 6, 23, 12, 22 and 21? (a) 22 (b) 20 (c) 12 (d) 21
  18. 18.What is the mean of 16, 4, 19, 2, 19 and 12? (a) 11 (b) 13 (c) 14 (d) 12
  19. 19.What is the median of 9, 37, 5, 6, 10, 26 and 14? (a) 14 (b) 10 (c) 9 (d) 6
  20. 20.What is the mean of 7, 17, 8 and 20? (a) 15 (b) 14 (c) 12 (d) 13
  21. 21.The mean of 8 numbers is 25. When the number 7 is added to them, what is the new mean? (a) 24 (b) 25 (c) 16 (d) 23
  22. 22.The mean of 3 numbers is 17. When the number 5 is added to them, what is the new mean? (a) 11 (b) 17 (c) 15 (d) 14
  23. 23.What is the mode of 2, 12, 11, 12, 2, 2 and 20? (a) 12 (b) 2 (c) 20 (d) 11
  24. 24.What is the median of 26, 2, 18, 27, 22, 34 and 32? (a) 27 (b) 22 (c) 23 (d) 26
  25. 25.What is the mean of 17, 15, 8, 18, 16 and 22? (a) 17 (b) 16 (c) 18 (d) 15
  26. 26.What is the mean of 12, 19, 5 and 8? (a) 10 (b) 11 (c) 13 (d) 12
  27. 27.What is the mode of 10, 15, 17, 10, 17, 1 and 10? (a) 10 (b) 1 (c) 15 (d) 17
  28. 28.What is the mode of 3, 1, 2, 1, 3, 6 and 3? (a) 2 (b) 6 (c) 1 (d) 3
  29. 29.The mean of 5 numbers is 22. When the number 40 is added to them, what is the new mean? (a) 26 (b) 25 (c) 22 (d) 31
  30. 30.What is the mode of 6, 9, 20, 4, 6, 6 and 4? (a) 4 (b) 9 (c) 20 (d) 6
  31. 31.What is the mean of 20, 13, 14 and 13? (a) 15 (b) 12 (c) 20 (d) 16
  32. 32.The mean of 7 numbers is 21. When the number 45 is added to them, what is the new mean? (a) 33 (b) 24 (c) 21 (d) 25
  33. 33.The mean of 7 numbers is 39. When the number 71 is added to them, what is the new mean? (a) 44 (b) 39 (c) 55 (d) 43
  34. 34.What is the median of 4, 9, 10, 29 and 7? (a) 7 (b) 10 (c) 8 (d) 9
  35. 35.What is the median of 10, 32, 16, 5, 19, 29 and 6? (a) 19 (b) 5 (c) 16 (d) 10
  36. 36.The mean of 5 numbers is 19. When the number 37 is added to them, what is the new mean? (a) 22 (b) 19 (c) 23 (d) 28
  37. 37.The mean of 4 numbers is 28. When the number 18 is added to them, what is the new mean? (a) 28 (b) 23 (c) 27 (d) 26
  38. 38.What is the median of 16, 17, 10, 19, 23, 22 and 3? (a) 19 (b) 17 (c) 18 (d) 16
  39. 39.What is the median of 34, 2, 6, 11, 38, 27 and 14? (a) 14 (b) 27 (c) 11 (d) 15
  40. 40.What is the median of 37, 33, 27, 34, 6, 26 and 16? (a) 34 (b) 27 (c) 26 (d) 33

Answer key

  1. 17
  2. 3
  3. 22
  4. 8
  5. 8
  6. 13
  7. 24
  8. 7
  9. 18
  10. 34
  11. 16
  12. 26
  13. 4
  14. 23
  15. 12
  16. 9
  17. 21
  18. 12
  19. 10
  20. 13
  21. 23
  22. 14
  23. 2
  24. 26
  25. 16
  26. 11
  27. 10
  28. 3
  29. 25
  30. 6
  31. 15
  32. 24
  33. 43
  34. 9
  35. 16
  36. 22
  37. 26
  38. 17
  39. 14
  40. 27

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