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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 241 · 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 26, 19, 39, 28 and 2? (a) 26 (b) 28 (c) 19 (d) 39
  2. 2.What is the mode of 13, 13, 12, 12, 16, 9 and 13? (a) 16 (b) 13 (c) 9 (d) 12
  3. 3.What is the mode of 8, 4, 2, 10, 4, 2 and 2? (a) 2 (b) 8 (c) 4 (d) 10
  4. 4.What is the mean of 10, 2, 17 and 15? (a) 12 (b) 13 (c) 11 (d) 10
  5. 5.What is the mode of 3, 12, 14, 12, 18, 18 and 12? (a) 12 (b) 18 (c) 3 (d) 14
  6. 6.The mean of 8 numbers is 27. When the number 36 is added to them, what is the new mean? (a) 28 (b) 29 (c) 30 (d) 27
  7. 7.What is the median of 7, 3, 13, 5 and 34? (a) 7 (b) 5 (c) 8 (d) 13
  8. 8.What is the mean of 8, 15, 10 and 7? (a) 9 (b) 11 (c) 8 (d) 10
  9. 9.What is the mean of 9, 8, 2, 9, 6 and 14? (a) 10 (b) 8 (c) 7 (d) 9
  10. 10.What is the mean of 7, 13, 2 and 14? (a) 9 (b) 10 (c) 12 (d) 8
  11. 11.The mean of 4 numbers is 21. When the number 31 is added to them, what is the new mean? (a) 26 (b) 21 (c) 24 (d) 23
  12. 12.The mean of 8 numbers is 24. When the number 42 is added to them, what is the new mean? (a) 27 (b) 24 (c) 26 (d) 33
  13. 13.What is the mean of 5, 2, 8 and 5? (a) 6 (b) 7 (c) 5 (d) 4
  14. 14.What is the mean of 6, 14, 17, 9, 18 and 14? (a) 14 (b) 13 (c) 12 (d) 15
  15. 15.What is the median of 35, 6, 14, 5, 3, 13 and 11? (a) 5 (b) 13 (c) 6 (d) 11
  16. 16.What is the median of 6, 15, 25, 23, 16, 20 and 40? (a) 16 (b) 21 (c) 23 (d) 20
  17. 17.What is the mean of 14, 2, 19, 4 and 6? (a) 9 (b) 11 (c) 10 (d) 8
  18. 18.The mean of 4 numbers is 26. When the number 31 is added to them, what is the new mean? (a) 28 (b) 29 (c) 26 (d) 27
  19. 19.The mean of 4 numbers is 14. When the number 4 is added to them, what is the new mean? (a) 13 (b) 12 (c) 9 (d) 14
  20. 20.What is the mean of 7, 10, 2 and 17? (a) 10 (b) 9 (c) 8 (d) 12
  21. 21.What is the mean of 5, 19, 16, 10, 7 and 21? (a) 14 (b) 12 (c) 13 (d) 15
  22. 22.What is the mode of 19, 19, 4, 19, 17, 20 and 17? (a) 17 (b) 4 (c) 19 (d) 20
  23. 23.The mean of 3 numbers is 24. When the number 20 is added to them, what is the new mean? (a) 22 (b) 25 (c) 23 (d) 24
  24. 24.The mean of 4 numbers is 11. When the number 21 is added to them, what is the new mean? (a) 16 (b) 14 (c) 11 (d) 13
  25. 25.What is the mean of 11, 8, 6, 2 and 8? (a) 8 (b) 7 (c) 6 (d) 9
  26. 26.The mean of 8 numbers is 31. When the number 40 is added to them, what is the new mean? (a) 31 (b) 32 (c) 34 (d) 33
  27. 27.What is the mean of 2, 6, 19, 4, 13 and 22? (a) 12 (b) 13 (c) 11 (d) 10
  28. 28.What is the median of 27, 25, 11, 13, 29, 33 and 8? (a) 27 (b) 13 (c) 25 (d) 26
  29. 29.What is the mean of 7, 3, 3, 7 and 10? (a) 5 (b) 8 (c) 6 (d) 7
  30. 30.What is the mode of 13, 5, 17, 13, 15, 15 and 13? (a) 5 (b) 17 (c) 13 (d) 15
  31. 31.What is the mean of 3, 5, 14 and 10? (a) 9 (b) 8 (c) 7 (d) 10
  32. 32.What is the median of 4, 24, 9, 15, 31, 27 and 17? (a) 24 (b) 15 (c) 17 (d) 18
  33. 33.What is the median of 9, 8, 36, 10 and 24? (a) 36 (b) 24 (c) 10 (d) 9
  34. 34.What is the mean of 5, 3, 5, 2, 16 and 11? (a) 6 (b) 8 (c) 7 (d) 9
  35. 35.What is the mode of 3, 12, 3, 12, 15, 12 and 7? (a) 7 (b) 15 (c) 12 (d) 3
  36. 36.The mean of 3 numbers is 32. When the number 44 is added to them, what is the new mean? (a) 35 (b) 36 (c) 32 (d) 38
  37. 37.What is the median of 16, 35, 29, 7, 18, 11 and 28? (a) 7 (b) 16 (c) 28 (d) 18
  38. 38.The mean of 7 numbers is 24. When the number 16 is added to them, what is the new mean? (a) 23 (b) 20 (c) 22 (d) 24
  39. 39.What is the mean of 16, 14, 11 and 3? (a) 13 (b) 12 (c) 11 (d) 10
  40. 40.What is the median of 5, 11, 33, 13, 28, 3 and 35? (a) 13 (b) 14 (c) 11 (d) 28

Answer key

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

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