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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 198 · 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 20, 1, 14, 3, 3, 1 and 3? (a) 14 (b) 1 (c) 3 (d) 20
  2. 2.What is the median of 26, 18, 19, 27, 38, 10 and 40? (a) 27 (b) 25 (c) 26 (d) 19
  3. 3.The mean of 3 numbers is 24. When the number 12 is added to them, what is the new mean? (a) 22 (b) 18 (c) 21 (d) 24
  4. 4.What is the median of 16, 37, 29, 14 and 35? (a) 30 (b) 35 (c) 16 (d) 29
  5. 5.The mean of 5 numbers is 13. When the number 1 is added to them, what is the new mean? (a) 13 (b) 12 (c) 7 (d) 11
  6. 6.What is the mode of 3, 10, 10, 9, 9, 11 and 9? (a) 10 (b) 3 (c) 9 (d) 11
  7. 7.What is the mean of 20, 2, 2, 18, 3 and 9? (a) 8 (b) 9 (c) 10 (d) 11
  8. 8.What is the mode of 14, 5, 9, 14, 14, 19 and 9? (a) 19 (b) 14 (c) 5 (d) 9
  9. 9.What is the mean of 19, 15, 2 and 20? (a) 13 (b) 15 (c) 16 (d) 14
  10. 10.What is the mode of 1, 1, 14, 7, 13, 13 and 13? (a) 1 (b) 13 (c) 14 (d) 7
  11. 11.The mean of 5 numbers is 29. When the number 23 is added to them, what is the new mean? (a) 27 (b) 28 (c) 29 (d) 26
  12. 12.What is the mean of 16, 4, 2, 8 and 15? (a) 10 (b) 8 (c) 9 (d) 11
  13. 13.What is the median of 30, 23, 31, 27 and 7? (a) 23 (b) 30 (c) 31 (d) 27
  14. 14.What is the mode of 2, 5, 11, 14, 5, 14 and 5? (a) 11 (b) 14 (c) 2 (d) 5
  15. 15.What is the mode of 16, 8, 19, 8, 19, 8 and 7? (a) 16 (b) 7 (c) 19 (d) 8
  16. 16.What is the mode of 3, 2, 7, 2, 3, 6 and 2? (a) 3 (b) 7 (c) 2 (d) 6
  17. 17.What is the median of 26, 3, 34, 39 and 33? (a) 26 (b) 34 (c) 27 (d) 33
  18. 18.The mean of 3 numbers is 10. When the number 26 is added to them, what is the new mean? (a) 10 (b) 18 (c) 14 (d) 15
  19. 19.The mean of 8 numbers is 36. When the number 54 is added to them, what is the new mean? (a) 39 (b) 38 (c) 36 (d) 45
  20. 20.What is the mode of 15, 9, 4, 4, 4, 3 and 15? (a) 4 (b) 3 (c) 9 (d) 15
  21. 21.The mean of 3 numbers is 40. When the number 28 is added to them, what is the new mean? (a) 37 (b) 34 (c) 40 (d) 38
  22. 22.What is the mode of 5, 10, 15, 20, 15, 10 and 15? (a) 15 (b) 20 (c) 5 (d) 10
  23. 23.The mean of 4 numbers is 12. When the number 7 is added to them, what is the new mean? (a) 11 (b) 10 (c) 12 (d) 13
  24. 24.What is the median of 18, 3, 1, 29, 22, 25 and 30? (a) 18 (b) 25 (c) 29 (d) 22
  25. 25.What is the mean of 3, 5, 4, 3 and 20? (a) 8 (b) 9 (c) 6 (d) 7
  26. 26.What is the mean of 13, 10, 13, 16 and 13? (a) 15 (b) 12 (c) 13 (d) 14
  27. 27.What is the mode of 15, 7, 14, 14, 10, 10 and 10? (a) 10 (b) 15 (c) 7 (d) 14
  28. 28.The mean of 4 numbers is 21. When the number 1 is added to them, what is the new mean? (a) 21 (b) 17 (c) 11 (d) 18
  29. 29.What is the median of 1, 13, 4, 2 and 27? (a) 2 (b) 5 (c) 13 (d) 4
  30. 30.What is the mode of 14, 3, 1, 14, 10, 1 and 1? (a) 1 (b) 14 (c) 3 (d) 10
  31. 31.What is the mean of 16, 11, 6 and 15? (a) 11 (b) 16 (c) 13 (d) 12
  32. 32.What is the median of 17, 15, 9, 22 and 3? (a) 17 (b) 15 (c) 9 (d) 16
  33. 33.What is the median of 30, 4, 5, 12, 15, 2 and 14? (a) 12 (b) 14 (c) 13 (d) 5
  34. 34.What is the median of 9, 31, 36, 16 and 37? (a) 32 (b) 36 (c) 31 (d) 16
  35. 35.What is the mean of 17, 7, 6, 16 and 14? (a) 13 (b) 12 (c) 15 (d) 10
  36. 36.What is the mean of 16, 18, 4, 18 and 14? (a) 15 (b) 13 (c) 16 (d) 14
  37. 37.What is the mode of 16, 16, 15, 10, 15, 3 and 15? (a) 16 (b) 10 (c) 3 (d) 15
  38. 38.What is the mean of 4, 19, 9, 6 and 17? (a) 12 (b) 13 (c) 11 (d) 10
  39. 39.The mean of 3 numbers is 17. When the number 25 is added to them, what is the new mean? (a) 17 (b) 21 (c) 19 (d) 20
  40. 40.What is the median of 25, 29, 2, 6, 33, 8 and 23? (a) 18 (b) 25 (c) 6 (d) 23

Answer key

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

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