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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 290 · 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 10, 2, 8, 9, 2, 10 and 10? (a) 9 (b) 10 (c) 8 (d) 2
  2. 2.What is the median of 22, 19, 33, 9 and 2? (a) 17 (b) 22 (c) 33 (d) 19
  3. 3.What is the mode of 13, 9, 4, 9, 20, 4 and 4? (a) 4 (b) 13 (c) 20 (d) 9
  4. 4.The mean of 4 numbers is 29. When the number 44 is added to them, what is the new mean? (a) 31 (b) 32 (c) 33 (d) 29
  5. 5.The mean of 4 numbers is 37. When the number 57 is added to them, what is the new mean? (a) 37 (b) 47 (c) 41 (d) 42
  6. 6.What is the median of 12, 34, 28, 26, 14, 7 and 2? (a) 14 (b) 12 (c) 15 (d) 26
  7. 7.What is the median of 6, 34, 31, 4 and 2? (a) 6 (b) 31 (c) 4 (d) 7
  8. 8.What is the mode of 17, 5, 17, 20, 17, 5 and 4? (a) 20 (b) 5 (c) 4 (d) 17
  9. 9.What is the mode of 18, 18, 4, 20, 20, 20 and 5? (a) 5 (b) 18 (c) 4 (d) 20
  10. 10.What is the mean of 13, 16, 11, 4, 19 and 3? (a) 11 (b) 10 (c) 12 (d) 13
  11. 11.What is the mode of 19, 19, 8, 7, 19, 13 and 8? (a) 8 (b) 19 (c) 7 (d) 13
  12. 12.What is the mode of 10, 16, 3, 9, 9, 16 and 16? (a) 3 (b) 10 (c) 16 (d) 9
  13. 13.What is the median of 31, 21, 34, 33 and 36? (a) 31 (b) 33 (c) 34 (d) 32
  14. 14.What is the mode of 2, 14, 16, 16, 4, 16 and 14? (a) 2 (b) 4 (c) 14 (d) 16
  15. 15.The mean of 5 numbers is 10. When the number 16 is added to them, what is the new mean? (a) 13 (b) 11 (c) 10 (d) 12
  16. 16.What is the mode of 3, 4, 6, 3, 20, 3 and 20? (a) 20 (b) 6 (c) 3 (d) 4
  17. 17.What is the median of 5, 17, 15, 27 and 30? (a) 17 (b) 18 (c) 27 (d) 15
  18. 18.What is the median of 37, 24, 8, 23, 16, 35 and 9? (a) 24 (b) 23 (c) 22 (d) 16
  19. 19.What is the mean of 12, 9, 15 and 20? (a) 16 (b) 14 (c) 13 (d) 15
  20. 20.What is the mean of 2, 9, 2 and 15? (a) 8 (b) 9 (c) 6 (d) 7
  21. 21.The mean of 6 numbers is 26. When the number 5 is added to them, what is the new mean? (a) 26 (b) 24 (c) 23 (d) 22
  22. 22.What is the mean of 18, 15, 5 and 18? (a) 14 (b) 15 (c) 16 (d) 13
  23. 23.What is the mean of 17, 3, 6, 6 and 8? (a) 9 (b) 7 (c) 10 (d) 8
  24. 24.The mean of 7 numbers is 18. When the number 10 is added to them, what is the new mean? (a) 16 (b) 14 (c) 17 (d) 18
  25. 25.What is the median of 5, 1, 28, 2 and 30? (a) 28 (b) 5 (c) 6 (d) 2
  26. 26.What is the mean of 18, 17, 12 and 9? (a) 16 (b) 15 (c) 13 (d) 14
  27. 27.What is the mode of 10, 4, 16, 16, 10, 11 and 10? (a) 4 (b) 10 (c) 16 (d) 11
  28. 28.What is the mode of 11, 14, 5, 5, 18, 14 and 14? (a) 18 (b) 14 (c) 11 (d) 5
  29. 29.What is the median of 36, 10, 27, 1 and 6? (a) 6 (b) 27 (c) 16 (d) 10
  30. 30.What is the mode of 7, 2, 20, 2, 14, 7 and 2? (a) 20 (b) 7 (c) 2 (d) 14
  31. 31.What is the mode of 1, 15, 15, 4, 8, 1 and 15? (a) 15 (b) 8 (c) 4 (d) 1
  32. 32.What is the mean of 16, 18, 10, 3, 16 and 15? (a) 12 (b) 15 (c) 14 (d) 13
  33. 33.What is the mode of 18, 6, 7, 18, 6, 9 and 6? (a) 9 (b) 7 (c) 18 (d) 6
  34. 34.What is the mode of 17, 13, 6, 17, 15, 13 and 13? (a) 15 (b) 17 (c) 6 (d) 13
  35. 35.The mean of 6 numbers is 32. When the number 53 is added to them, what is the new mean? (a) 34 (b) 32 (c) 35 (d) 36
  36. 36.What is the mode of 7, 18, 20, 20, 7, 5 and 20? (a) 5 (b) 18 (c) 7 (d) 20
  37. 37.What is the mean of 8, 5, 6 and 21? (a) 8 (b) 9 (c) 11 (d) 10
  38. 38.What is the mode of 5, 16, 20, 7, 16, 20 and 20? (a) 16 (b) 5 (c) 7 (d) 20
  39. 39.What is the median of 40, 19, 9, 32 and 34? (a) 19 (b) 34 (c) 32 (d) 9
  40. 40.What is the mean of 8, 16, 20 and 8? (a) 14 (b) 12 (c) 15 (d) 13

Answer key

  1. 10
  2. 19
  3. 4
  4. 32
  5. 41
  6. 14
  7. 6
  8. 17
  9. 20
  10. 11
  11. 19
  12. 16
  13. 33
  14. 16
  15. 11
  16. 3
  17. 17
  18. 23
  19. 14
  20. 7
  21. 23
  22. 14
  23. 8
  24. 17
  25. 5
  26. 14
  27. 10
  28. 14
  29. 10
  30. 2
  31. 15
  32. 13
  33. 6
  34. 13
  35. 35
  36. 20
  37. 10
  38. 20
  39. 32
  40. 13

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