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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 857 · 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 mean of 14, 13, 9 and 16? (a) 14 (b) 12 (c) 13 (d) 15
  2. 2.What is the mode of 13, 17, 7, 17, 18, 7 and 7? (a) 17 (b) 7 (c) 13 (d) 18
  3. 3.What is the mode of 15, 4, 19, 13, 4, 4 and 13? (a) 15 (b) 13 (c) 19 (d) 4
  4. 4.The mean of 5 numbers is 25. When the number 1 is added to them, what is the new mean? (a) 22 (b) 21 (c) 13 (d) 25
  5. 5.What is the mean of 10, 17, 16, 18, 5 and 18? (a) 15 (b) 14 (c) 13 (d) 12
  6. 6.The mean of 5 numbers is 27. When the number 33 is added to them, what is the new mean? (a) 27 (b) 28 (c) 30 (d) 29
  7. 7.What is the median of 9, 34, 27, 10, 25, 38 and 8? (a) 25 (b) 27 (c) 26 (d) 10
  8. 8.The mean of 3 numbers is 20. When the number 24 is added to them, what is the new mean? (a) 22 (b) 20 (c) 23 (d) 21
  9. 9.What is the mean of 20, 6, 2 and 8? (a) 12 (b) 8 (c) 9 (d) 10
  10. 10.What is the mean of 7, 12, 11, 12 and 18? (a) 15 (b) 13 (c) 10 (d) 12
  11. 11.What is the mode of 5, 8, 5, 6, 20, 6 and 5? (a) 5 (b) 8 (c) 6 (d) 20
  12. 12.What is the mode of 19, 7, 4, 3, 3, 7 and 7? (a) 4 (b) 7 (c) 19 (d) 3
  13. 13.What is the mode of 4, 7, 7, 16, 14, 16 and 16? (a) 4 (b) 16 (c) 14 (d) 7
  14. 14.What is the median of 33, 31, 1, 32 and 24? (a) 1 (b) 24 (c) 31 (d) 32
  15. 15.What is the mean of 4, 3, 10 and 7? (a) 7 (b) 6 (c) 8 (d) 5
  16. 16.What is the mode of 1, 17, 19, 1, 3, 1 and 17? (a) 3 (b) 17 (c) 1 (d) 19
  17. 17.What is the mean of 19, 12, 2, 19 and 13? (a) 15 (b) 12 (c) 13 (d) 14
  18. 18.What is the mean of 11, 16, 6, 14 and 18? (a) 15 (b) 14 (c) 12 (d) 13
  19. 19.What is the median of 12, 11, 27, 23 and 30? (a) 27 (b) 24 (c) 23 (d) 12
  20. 20.What is the mean of 16, 3, 20 and 13? (a) 14 (b) 13 (c) 15 (d) 12
  21. 21.What is the mean of 10, 14, 8, 17, 2 and 21? (a) 12 (b) 13 (c) 11 (d) 14
  22. 22.What is the median of 16, 13, 1, 18, 27, 3 and 26? (a) 13 (b) 16 (c) 17 (d) 18
  23. 23.What is the median of 29, 28, 37, 15, 6, 34 and 30? (a) 28 (b) 30 (c) 29 (d) 15
  24. 24.The mean of 7 numbers is 28. When the number 4 is added to them, what is the new mean? (a) 16 (b) 28 (c) 26 (d) 25
  25. 25.What is the mode of 6, 14, 7, 7, 7, 6 and 19? (a) 6 (b) 19 (c) 7 (d) 14
  26. 26.What is the mode of 18, 6, 16, 16, 18, 16 and 14? (a) 14 (b) 16 (c) 18 (d) 6
  27. 27.What is the median of 28, 12, 40, 39 and 2? (a) 40 (b) 12 (c) 28 (d) 39
  28. 28.What is the mode of 10, 10, 10, 7, 4, 8 and 4? (a) 4 (b) 8 (c) 7 (d) 10
  29. 29.What is the median of 11, 22, 27, 31, 1, 10 and 37? (a) 22 (b) 27 (c) 11 (d) 31
  30. 30.What is the median of 18, 39, 32, 8 and 10? (a) 10 (b) 18 (c) 32 (d) 19
  31. 31.What is the median of 14, 22, 40, 6 and 16? (a) 22 (b) 14 (c) 16 (d) 40
  32. 32.What is the mean of 3, 15, 7, 5, 5 and 19? (a) 9 (b) 8 (c) 10 (d) 11
  33. 33.What is the median of 23, 36, 20, 7, 38, 14 and 2? (a) 23 (b) 14 (c) 7 (d) 20
  34. 34.The mean of 8 numbers is 33. When the number 42 is added to them, what is the new mean? (a) 33 (b) 34 (c) 35 (d) 36
  35. 35.What is the mode of 17, 19, 17, 17, 11, 19 and 9? (a) 11 (b) 19 (c) 17 (d) 9
  36. 36.What is the mean of 13, 8, 20, 12, 14 and 11? (a) 15 (b) 14 (c) 13 (d) 12
  37. 37.What is the mean of 10, 12, 12, 18, 3 and 23? (a) 15 (b) 12 (c) 13 (d) 14
  38. 38.What is the mean of 7, 8, 20, 13 and 17? (a) 15 (b) 13 (c) 12 (d) 14
  39. 39.What is the mode of 5, 9, 9, 14, 5, 5 and 3? (a) 9 (b) 5 (c) 3 (d) 14
  40. 40.What is the median of 12, 22, 21, 4 and 33? (a) 22 (b) 12 (c) 20 (d) 21

Answer key

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

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