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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 29 · 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 8, 2, 17 and 17? (a) 12 (b) 13 (c) 11 (d) 10
  2. 2.What is the mode of 8, 8, 6, 6, 4, 8 and 11? (a) 4 (b) 11 (c) 8 (d) 6
  3. 3.What is the mean of 2, 13, 14, 14, 16 and 19? (a) 12 (b) 15 (c) 14 (d) 13
  4. 4.What is the mode of 20, 8, 20, 16, 20, 8 and 6? (a) 6 (b) 20 (c) 16 (d) 8
  5. 5.What is the mode of 20, 15, 1, 2, 15, 15 and 2? (a) 2 (b) 15 (c) 1 (d) 20
  6. 6.What is the mean of 6, 20, 15 and 7? (a) 16 (b) 13 (c) 11 (d) 12
  7. 7.What is the median of 31, 2, 23, 29 and 7? (a) 24 (b) 7 (c) 23 (d) 29
  8. 8.What is the median of 20, 28, 24, 26, 2, 17 and 38? (a) 24 (b) 20 (c) 26 (d) 25
  9. 9.What is the mode of 11, 7, 16, 2, 2, 11 and 2? (a) 7 (b) 16 (c) 2 (d) 11
  10. 10.The mean of 4 numbers is 37. When the number 32 is added to them, what is the new mean? (a) 37 (b) 38 (c) 36 (d) 35
  11. 11.What is the mean of 17, 12, 7, 7 and 22? (a) 14 (b) 13 (c) 15 (d) 12
  12. 12.What is the median of 30, 6, 8, 21 and 16? (a) 17 (b) 8 (c) 16 (d) 21
  13. 13.What is the mode of 2, 1, 12, 1, 8, 2 and 1? (a) 12 (b) 1 (c) 8 (d) 2
  14. 14.What is the mean of 4, 2, 11, 15 and 18? (a) 9 (b) 12 (c) 11 (d) 10
  15. 15.What is the mean of 18, 14, 9 and 11? (a) 14 (b) 13 (c) 12 (d) 15
  16. 16.What is the mode of 13, 5, 13, 12, 17, 13 and 17? (a) 13 (b) 5 (c) 12 (d) 17
  17. 17.What is the median of 32, 4, 30, 20 and 12? (a) 20 (b) 30 (c) 12 (d) 21
  18. 18.What is the mean of 6, 5, 2 and 11? (a) 8 (b) 7 (c) 6 (d) 5
  19. 19.What is the median of 2, 21, 13, 37, 27, 15 and 34? (a) 27 (b) 21 (c) 15 (d) 37
  20. 20.What is the median of 34, 25, 4, 3 and 13? (a) 13 (b) 25 (c) 4 (d) 14
  21. 21.What is the median of 21, 7, 3, 2 and 28? (a) 3 (b) 21 (c) 7 (d) 8
  22. 22.What is the mean of 3, 11, 2, 16 and 18? (a) 12 (b) 9 (c) 10 (d) 11
  23. 23.What is the mode of 6, 11, 11, 9, 9, 11 and 13? (a) 13 (b) 11 (c) 6 (d) 9
  24. 24.What is the mean of 7, 11, 20 and 14? (a) 15 (b) 12 (c) 13 (d) 14
  25. 25.What is the median of 29, 37, 36, 22 and 24? (a) 24 (b) 29 (c) 36 (d) 30
  26. 26.What is the mode of 18, 3, 15, 12, 12, 12 and 15? (a) 3 (b) 15 (c) 18 (d) 12
  27. 27.What is the median of 31, 5, 20, 11, 39, 13 and 40? (a) 31 (b) 13 (c) 20 (d) 11
  28. 28.What is the mode of 11, 6, 15, 15, 1, 6 and 15? (a) 1 (b) 6 (c) 15 (d) 11
  29. 29.The mean of 4 numbers is 34. When the number 49 is added to them, what is the new mean? (a) 37 (b) 38 (c) 36 (d) 34
  30. 30.The mean of 6 numbers is 34. When the number 27 is added to them, what is the new mean? (a) 32 (b) 34 (c) 33 (d) 35
  31. 31.What is the mode of 1, 9, 9, 20, 19, 1 and 9? (a) 1 (b) 9 (c) 20 (d) 19
  32. 32.What is the mean of 13, 19, 5, 4 and 19? (a) 13 (b) 15 (c) 12 (d) 10
  33. 33.The mean of 8 numbers is 14. When the number 32 is added to them, what is the new mean? (a) 16 (b) 14 (c) 17 (d) 23
  34. 34.The mean of 8 numbers is 25. When the number 34 is added to them, what is the new mean? (a) 25 (b) 27 (c) 28 (d) 26
  35. 35.The mean of 9 numbers is 15. When the number 5 is added to them, what is the new mean? (a) 14 (b) 15 (c) 13 (d) 10
  36. 36.What is the median of 28, 10, 24, 19 and 31? (a) 24 (b) 28 (c) 25 (d) 19
  37. 37.What is the median of 39, 23, 5, 18 and 38? (a) 38 (b) 18 (c) 23 (d) 5
  38. 38.The mean of 7 numbers is 16. When the number 32 is added to them, what is the new mean? (a) 16 (b) 18 (c) 19 (d) 24
  39. 39.The mean of 9 numbers is 32. When the number 52 is added to them, what is the new mean? (a) 42 (b) 35 (c) 34 (d) 32
  40. 40.What is the mode of 18, 16, 16, 14, 16, 15 and 14? (a) 15 (b) 18 (c) 14 (d) 16

Answer key

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

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