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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 451 · 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 15, 13, 16, 15, 10, 13 and 13? (a) 13 (b) 15 (c) 16 (d) 10
  2. 2.What is the median of 14, 23, 35, 27 and 1? (a) 20 (b) 23 (c) 35 (d) 27
  3. 3.What is the mode of 20, 20, 8, 8, 8, 10 and 1? (a) 1 (b) 20 (c) 8 (d) 10
  4. 4.What is the mode of 11, 17, 17, 10, 10, 10 and 8? (a) 11 (b) 10 (c) 8 (d) 17
  5. 5.What is the median of 4, 29, 23, 39, 19, 21 and 16? (a) 39 (b) 21 (c) 23 (d) 19
  6. 6.What is the mean of 2, 15, 2, 10 and 6? (a) 8 (b) 6 (c) 9 (d) 7
  7. 7.What is the median of 29, 30, 39, 17 and 20? (a) 29 (b) 27 (c) 39 (d) 30
  8. 8.What is the mode of 6, 3, 19, 19, 19, 4 and 3? (a) 19 (b) 3 (c) 4 (d) 6
  9. 9.What is the mean of 10, 19, 13 and 18? (a) 20 (b) 16 (c) 12 (d) 15
  10. 10.What is the mean of 6, 11, 7, 4 and 17? (a) 10 (b) 8 (c) 11 (d) 9
  11. 11.What is the median of 10, 35, 20, 31, 18, 28 and 6? (a) 28 (b) 18 (c) 20 (d) 31
  12. 12.What is the mean of 5, 11, 8 and 20? (a) 13 (b) 11 (c) 10 (d) 12
  13. 13.The mean of 3 numbers is 11. When the number 27 is added to them, what is the new mean? (a) 11 (b) 19 (c) 16 (d) 15
  14. 14.What is the mean of 2, 5, 12 and 5? (a) 6 (b) 5 (c) 8 (d) 7
  15. 15.What is the median of 35, 23, 5, 37 and 14? (a) 14 (b) 35 (c) 23 (d) 5
  16. 16.The mean of 3 numbers is 26. When the number 18 is added to them, what is the new mean? (a) 25 (b) 24 (c) 22 (d) 26
  17. 17.What is the median of 6, 5, 28, 24 and 4? (a) 6 (b) 28 (c) 24 (d) 5
  18. 18.What is the mean of 14, 16, 15, 12, 8 and 7? (a) 14 (b) 12 (c) 13 (d) 11
  19. 19.What is the mode of 5, 5, 11, 17, 1, 17 and 5? (a) 1 (b) 5 (c) 11 (d) 17
  20. 20.The mean of 9 numbers is 16. When the number 26 is added to them, what is the new mean? (a) 21 (b) 18 (c) 16 (d) 17
  21. 21.The mean of 8 numbers is 29. When the number 20 is added to them, what is the new mean? (a) 27 (b) 28 (c) 29 (d) 30
  22. 22.What is the median of 7, 27, 21, 8 and 24? (a) 21 (b) 8 (c) 22 (d) 24
  23. 23.What is the median of 13, 40, 7, 15 and 12? (a) 13 (b) 15 (c) 7 (d) 12
  24. 24.What is the mean of 2, 11, 5 and 14? (a) 9 (b) 7 (c) 8 (d) 10
  25. 25.The mean of 7 numbers is 35. When the number 19 is added to them, what is the new mean? (a) 27 (b) 34 (c) 35 (d) 33
  26. 26.What is the median of 32, 26, 35, 7, 39, 20 and 36? (a) 35 (b) 32 (c) 7 (d) 26
  27. 27.What is the mode of 12, 1, 2, 1, 2, 8 and 2? (a) 8 (b) 1 (c) 12 (d) 2
  28. 28.What is the mean of 6, 7, 7, 8 and 22? (a) 11 (b) 9 (c) 12 (d) 10
  29. 29.The mean of 3 numbers is 38. When the number 42 is added to them, what is the new mean? (a) 40 (b) 38 (c) 41 (d) 39
  30. 30.What is the median of 17, 12, 5, 10, 14, 25 and 32? (a) 10 (b) 12 (c) 14 (d) 17
  31. 31.What is the mode of 2, 2, 3, 13, 7, 3 and 3? (a) 7 (b) 13 (c) 3 (d) 2
  32. 32.What is the median of 23, 26, 17, 21, 39, 27 and 19? (a) 23 (b) 21 (c) 24 (d) 26
  33. 33.The mean of 7 numbers is 38. When the number 22 is added to them, what is the new mean? (a) 37 (b) 30 (c) 36 (d) 38
  34. 34.What is the mean of 7, 13, 2, 18, 4 and 16? (a) 9 (b) 11 (c) 12 (d) 10
  35. 35.What is the mode of 19, 12, 1, 12, 5, 5 and 5? (a) 12 (b) 19 (c) 5 (d) 1
  36. 36.What is the mode of 16, 5, 16, 9, 8, 16 and 5? (a) 9 (b) 8 (c) 16 (d) 5
  37. 37.The mean of 6 numbers is 16. When the number 37 is added to them, what is the new mean? (a) 18 (b) 16 (c) 20 (d) 19
  38. 38.What is the median of 11, 23, 10, 22 and 16? (a) 10 (b) 22 (c) 11 (d) 16
  39. 39.What is the median of 5, 12, 29, 10, 17, 39 and 36? (a) 29 (b) 17 (c) 10 (d) 12
  40. 40.What is the mode of 10, 3, 3, 4, 3, 4 and 5? (a) 10 (b) 5 (c) 3 (d) 4

Answer key

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

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