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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 976 · 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 4, 17, 19, 19, 17, 17 and 8? (a) 4 (b) 19 (c) 8 (d) 17
  2. 2.The mean of 8 numbers is 16. When the number 52 is added to them, what is the new mean? (a) 21 (b) 16 (c) 34 (d) 20
  3. 3.What is the mode of 7, 20, 19, 4, 19, 4 and 4? (a) 20 (b) 7 (c) 19 (d) 4
  4. 4.What is the mode of 20, 20, 4, 15, 7, 15 and 15? (a) 15 (b) 4 (c) 7 (d) 20
  5. 5.What is the mean of 13, 18, 18, 12, 16 and 19? (a) 17 (b) 16 (c) 18 (d) 15
  6. 6.The mean of 5 numbers is 36. When the number 60 is added to them, what is the new mean? (a) 48 (b) 36 (c) 41 (d) 40
  7. 7.The mean of 9 numbers is 24. When the number 44 is added to them, what is the new mean? (a) 24 (b) 34 (c) 26 (d) 27
  8. 8.What is the mode of 3, 7, 3, 2, 3, 18 and 2? (a) 18 (b) 7 (c) 3 (d) 2
  9. 9.The mean of 7 numbers is 37. When the number 13 is added to them, what is the new mean? (a) 34 (b) 35 (c) 25 (d) 37
  10. 10.What is the mode of 12, 8, 15, 4, 15, 4 and 15? (a) 12 (b) 8 (c) 4 (d) 15
  11. 11.What is the median of 28, 33, 14, 10, 23, 38 and 35? (a) 28 (b) 23 (c) 33 (d) 10
  12. 12.What is the median of 38, 1, 20, 39 and 5? (a) 21 (b) 5 (c) 20 (d) 38
  13. 13.What is the mean of 14, 8, 6, 19, 16 and 9? (a) 13 (b) 12 (c) 11 (d) 14
  14. 14.What is the median of 19, 2, 26, 17 and 7? (a) 26 (b) 19 (c) 7 (d) 17
  15. 15.What is the mode of 7, 7, 14, 7, 12, 14 and 5? (a) 12 (b) 7 (c) 14 (d) 5
  16. 16.What is the median of 11, 15, 23, 39 and 2? (a) 18 (b) 15 (c) 23 (d) 11
  17. 17.What is the mode of 15, 3, 8, 10, 10, 8 and 10? (a) 3 (b) 10 (c) 8 (d) 15
  18. 18.What is the mean of 18, 5, 15 and 18? (a) 16 (b) 13 (c) 15 (d) 14
  19. 19.What is the median of 9, 28, 14, 38 and 4? (a) 28 (b) 9 (c) 14 (d) 15
  20. 20.The mean of 8 numbers is 39. When the number 21 is added to them, what is the new mean? (a) 30 (b) 38 (c) 37 (d) 39
  21. 21.The mean of 8 numbers is 27. When the number 36 is added to them, what is the new mean? (a) 27 (b) 29 (c) 30 (d) 28
  22. 22.What is the mode of 11, 11, 11, 19, 15, 19 and 20? (a) 19 (b) 20 (c) 15 (d) 11
  23. 23.What is the mean of 11, 2, 6 and 5? (a) 7 (b) 8 (c) 5 (d) 6
  24. 24.What is the mean of 8, 11, 16, 18 and 2? (a) 13 (b) 10 (c) 11 (d) 12
  25. 25.The mean of 8 numbers is 15. When the number 33 is added to them, what is the new mean? (a) 17 (b) 18 (c) 15 (d) 24
  26. 26.What is the mode of 4, 4, 8, 12, 12, 3 and 4? (a) 8 (b) 4 (c) 3 (d) 12
  27. 27.What is the mean of 10, 17, 16, 3, 17 and 21? (a) 13 (b) 14 (c) 12 (d) 15
  28. 28.The mean of 7 numbers is 33. When the number 57 is added to them, what is the new mean? (a) 33 (b) 36 (c) 37 (d) 45
  29. 29.What is the mean of 6, 11, 18 and 9? (a) 11 (b) 12 (c) 13 (d) 10
  30. 30.What is the median of 29, 12, 36, 19 and 35? (a) 29 (b) 35 (c) 36 (d) 19
  31. 31.What is the mode of 3, 7, 7, 9, 16, 7 and 3? (a) 9 (b) 16 (c) 7 (d) 3
  32. 32.The mean of 4 numbers is 37. When the number 52 is added to them, what is the new mean? (a) 41 (b) 37 (c) 40 (d) 39
  33. 33.What is the median of 11, 38, 12, 32, 2, 1 and 34? (a) 13 (b) 12 (c) 11 (d) 32
  34. 34.What is the median of 14, 24, 30, 8 and 26? (a) 30 (b) 26 (c) 14 (d) 24
  35. 35.What is the mean of 20, 19, 12 and 17? (a) 18 (b) 17 (c) 19 (d) 16
  36. 36.The mean of 7 numbers is 13. When the number 45 is added to them, what is the new mean? (a) 18 (b) 17 (c) 13 (d) 29
  37. 37.What is the mode of 18, 5, 14, 17, 17, 18 and 17? (a) 5 (b) 14 (c) 18 (d) 17
  38. 38.What is the mean of 9, 6, 12 and 21? (a) 11 (b) 12 (c) 16 (d) 13
  39. 39.What is the median of 24, 39, 8, 20 and 2? (a) 24 (b) 8 (c) 20 (d) 21
  40. 40.What is the mean of 15, 3, 6, 10 and 6? (a) 7 (b) 8 (c) 10 (d) 9

Answer key

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

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