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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 307 · 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 16, 11, 11, 16, 14, 17 and 11? (a) 14 (b) 11 (c) 17 (d) 16
  2. 2.The mean of 5 numbers is 39. When the number 63 is added to them, what is the new mean? (a) 44 (b) 39 (c) 43 (d) 51
  3. 3.What is the mean of 2, 11, 12, 17, 20 and 10? (a) 11 (b) 14 (c) 12 (d) 13
  4. 4.What is the mode of 17, 6, 6, 19, 7, 6 and 19? (a) 6 (b) 7 (c) 19 (d) 17
  5. 5.The mean of 7 numbers is 36. When the number 68 is added to them, what is the new mean? (a) 52 (b) 41 (c) 36 (d) 40
  6. 6.What is the mode of 2, 7, 15, 7, 2, 2 and 10? (a) 10 (b) 15 (c) 2 (d) 7
  7. 7.What is the median of 34, 25, 39, 32 and 1? (a) 25 (b) 32 (c) 34 (d) 39
  8. 8.The mean of 7 numbers is 25. When the number 9 is added to them, what is the new mean? (a) 23 (b) 24 (c) 25 (d) 17
  9. 9.The mean of 7 numbers is 17. When the number 25 is added to them, what is the new mean? (a) 21 (b) 19 (c) 17 (d) 18
  10. 10.What is the mode of 19, 11, 16, 15, 11, 19 and 11? (a) 15 (b) 16 (c) 19 (d) 11
  11. 11.What is the median of 31, 2, 29, 32 and 18? (a) 18 (b) 30 (c) 29 (d) 31
  12. 12.The mean of 7 numbers is 25. When the number 1 is added to them, what is the new mean? (a) 13 (b) 22 (c) 25 (d) 23
  13. 13.What is the mode of 6, 3, 3, 20, 4, 20 and 3? (a) 6 (b) 3 (c) 20 (d) 4
  14. 14.What is the mean of 11, 20, 16, 9 and 19? (a) 14 (b) 17 (c) 16 (d) 15
  15. 15.What is the mode of 10, 16, 10, 11, 3, 16 and 16? (a) 10 (b) 3 (c) 16 (d) 11
  16. 16.What is the mean of 6, 6, 4 and 20? (a) 8 (b) 9 (c) 12 (d) 10
  17. 17.What is the mean of 4, 9, 10, 3, 6 and 10? (a) 7 (b) 6 (c) 8 (d) 9
  18. 18.What is the median of 19, 35, 14, 10, 26, 37 and 33? (a) 33 (b) 10 (c) 26 (d) 19
  19. 19.What is the mode of 16, 11, 4, 4, 15, 16 and 4? (a) 15 (b) 4 (c) 11 (d) 16
  20. 20.The mean of 7 numbers is 32. When the number 16 is added to them, what is the new mean? (a) 24 (b) 32 (c) 31 (d) 30
  21. 21.What is the mean of 20, 19, 18 and 11? (a) 19 (b) 18 (c) 17 (d) 16
  22. 22.What is the median of 26, 25, 28, 24, 31, 5 and 27? (a) 27 (b) 24 (c) 26 (d) 25
  23. 23.What is the median of 5, 12, 39, 11 and 7? (a) 39 (b) 11 (c) 7 (d) 12
  24. 24.What is the mean of 15, 13, 6, 18, 7 and 19? (a) 12 (b) 14 (c) 13 (d) 15
  25. 25.What is the median of 28, 15, 6, 11, 23, 19 and 5? (a) 15 (b) 19 (c) 11 (d) 16
  26. 26.What is the mean of 15, 11, 18, 8 and 23? (a) 16 (b) 15 (c) 17 (d) 14
  27. 27.What is the median of 36, 19, 26, 20, 10, 9 and 38? (a) 26 (b) 21 (c) 20 (d) 19
  28. 28.What is the median of 17, 4, 32, 22 and 35? (a) 22 (b) 17 (c) 23 (d) 32
  29. 29.The mean of 4 numbers is 18. When the number 3 is added to them, what is the new mean? (a) 16 (b) 18 (c) 14 (d) 15
  30. 30.What is the mode of 11, 11, 9, 7, 19, 11 and 9? (a) 11 (b) 7 (c) 9 (d) 19
  31. 31.What is the median of 4, 32, 33, 40, 36, 11 and 26? (a) 26 (b) 33 (c) 32 (d) 40
  32. 32.The mean of 6 numbers is 40. When the number 54 is added to them, what is the new mean? (a) 42 (b) 40 (c) 47 (d) 43
  33. 33.What is the mode of 4, 6, 11, 11, 10, 6 and 6? (a) 10 (b) 6 (c) 11 (d) 4
  34. 34.What is the mean of 13, 6, 17, 16 and 13? (a) 12 (b) 15 (c) 13 (d) 14
  35. 35.What is the mean of 13, 19, 16, 12, 3 and 21? (a) 12 (b) 14 (c) 13 (d) 15
  36. 36.The mean of 9 numbers is 28. When the number 58 is added to them, what is the new mean? (a) 32 (b) 28 (c) 43 (d) 31
  37. 37.The mean of 5 numbers is 15. When the number 33 is added to them, what is the new mean? (a) 19 (b) 18 (c) 15 (d) 24
  38. 38.What is the mean of 17, 11, 19, 19 and 19? (a) 17 (b) 16 (c) 18 (d) 19
  39. 39.What is the mode of 14, 10, 1, 19, 14, 19 and 19? (a) 19 (b) 10 (c) 1 (d) 14
  40. 40.The mean of 7 numbers is 29. When the number 13 is added to them, what is the new mean? (a) 21 (b) 29 (c) 27 (d) 28

Answer key

  1. 11
  2. 43
  3. 12
  4. 6
  5. 40
  6. 2
  7. 32
  8. 23
  9. 18
  10. 11
  11. 29
  12. 22
  13. 3
  14. 15
  15. 16
  16. 9
  17. 7
  18. 26
  19. 4
  20. 30
  21. 17
  22. 26
  23. 11
  24. 13
  25. 15
  26. 15
  27. 20
  28. 22
  29. 15
  30. 11
  31. 32
  32. 42
  33. 6
  34. 13
  35. 14
  36. 31
  37. 18
  38. 17
  39. 19
  40. 27

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