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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 433 · 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 4, 36, 39, 17 and 6? (a) 36 (b) 39 (c) 17 (d) 6
  2. 2.The mean of 6 numbers is 23. When the number 51 is added to them, what is the new mean? (a) 23 (b) 27 (c) 37 (d) 28
  3. 3.What is the median of 15, 27, 31, 35 and 24? (a) 31 (b) 28 (c) 27 (d) 24
  4. 4.What is the mean of 13, 7, 15, 6 and 19? (a) 15 (b) 12 (c) 10 (d) 13
  5. 5.What is the mean of 7, 17, 10, 16 and 15? (a) 14 (b) 15 (c) 13 (d) 12
  6. 6.What is the median of 18, 25, 22, 12 and 33? (a) 23 (b) 22 (c) 18 (d) 25
  7. 7.What is the mode of 2, 9, 11, 5, 11, 2 and 2? (a) 5 (b) 2 (c) 11 (d) 9
  8. 8.What is the mean of 19, 17, 14 and 14? (a) 16 (b) 15 (c) 17 (d) 18
  9. 9.What is the mode of 9, 15, 3, 10, 3, 15 and 15? (a) 3 (b) 15 (c) 9 (d) 10
  10. 10.What is the mode of 12, 18, 19, 18, 19, 14 and 19? (a) 19 (b) 18 (c) 14 (d) 12
  11. 11.What is the mean of 17, 10, 12, 19, 8 and 6? (a) 12 (b) 14 (c) 13 (d) 11
  12. 12.What is the median of 10, 28, 8, 23 and 29? (a) 8 (b) 23 (c) 28 (d) 10
  13. 13.What is the mean of 6, 16, 7, 10, 7 and 8? (a) 9 (b) 11 (c) 8 (d) 10
  14. 14.What is the median of 40, 13, 33, 32, 26, 12 and 34? (a) 26 (b) 33 (c) 31 (d) 32
  15. 15.The mean of 9 numbers is 36. When the number 16 is added to them, what is the new mean? (a) 36 (b) 26 (c) 34 (d) 35
  16. 16.The mean of 7 numbers is 25. When the number 17 is added to them, what is the new mean? (a) 21 (b) 24 (c) 25 (d) 23
  17. 17.What is the median of 4, 16, 17, 18, 15, 2 and 39? (a) 15 (b) 16 (c) 17 (d) 18
  18. 18.The mean of 4 numbers is 36. When the number 41 is added to them, what is the new mean? (a) 38 (b) 39 (c) 37 (d) 36
  19. 19.What is the mode of 10, 1, 13, 13, 2, 13 and 1? (a) 1 (b) 10 (c) 13 (d) 2
  20. 20.The mean of 8 numbers is 30. When the number 39 is added to them, what is the new mean? (a) 32 (b) 30 (c) 31 (d) 33
  21. 21.What is the median of 37, 7, 39, 4, 33, 16 and 9? (a) 33 (b) 16 (c) 9 (d) 4
  22. 22.What is the mode of 13, 13, 13, 2, 19, 4 and 4? (a) 4 (b) 13 (c) 19 (d) 2
  23. 23.What is the mode of 13, 5, 14, 5, 13, 5 and 12? (a) 12 (b) 13 (c) 5 (d) 14
  24. 24.What is the mean of 12, 10, 20 and 14? (a) 13 (b) 15 (c) 16 (d) 14
  25. 25.What is the median of 11, 3, 6, 17 and 26? (a) 11 (b) 6 (c) 12 (d) 17
  26. 26.What is the median of 14, 35, 26, 20 and 23? (a) 20 (b) 23 (c) 24 (d) 26
  27. 27.What is the mode of 12, 6, 10, 12, 12, 6 and 13? (a) 10 (b) 13 (c) 12 (d) 6
  28. 28.The mean of 4 numbers is 14. When the number 29 is added to them, what is the new mean? (a) 16 (b) 14 (c) 17 (d) 18
  29. 29.What is the mode of 15, 2, 15, 15, 17, 2 and 9? (a) 2 (b) 9 (c) 15 (d) 17
  30. 30.What is the mode of 4, 3, 4, 1, 4, 1 and 20? (a) 3 (b) 4 (c) 20 (d) 1
  31. 31.What is the median of 5, 14, 8, 2 and 16? (a) 8 (b) 5 (c) 14 (d) 9
  32. 32.What is the median of 2, 37, 8, 27 and 11? (a) 11 (b) 27 (c) 8 (d) 17
  33. 33.The mean of 9 numbers is 14. When the number 34 is added to them, what is the new mean? (a) 16 (b) 14 (c) 17 (d) 24
  34. 34.What is the mode of 17, 17, 18, 18, 19, 17 and 3? (a) 17 (b) 18 (c) 3 (d) 19
  35. 35.The mean of 3 numbers is 30. When the number 34 is added to them, what is the new mean? (a) 31 (b) 33 (c) 30 (d) 32
  36. 36.What is the median of 17, 14, 35, 40 and 32? (a) 33 (b) 35 (c) 32 (d) 17
  37. 37.What is the median of 4, 35, 20, 29 and 26? (a) 27 (b) 29 (c) 20 (d) 26
  38. 38.What is the mode of 5, 15, 14, 2, 14, 14 and 5? (a) 2 (b) 14 (c) 5 (d) 15
  39. 39.What is the mode of 5, 12, 13, 5, 5, 20 and 13? (a) 13 (b) 12 (c) 5 (d) 20
  40. 40.What is the mean of 18, 3, 19, 19, 19 and 12? (a) 14 (b) 18 (c) 16 (d) 15

Answer key

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

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