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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 82 · 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.The mean of 8 numbers is 27. When the number 36 is added to them, what is the new mean? (a) 28 (b) 30 (c) 27 (d) 29
  2. 2.What is the mode of 18, 5, 19, 15, 5, 18 and 18? (a) 15 (b) 18 (c) 5 (d) 19
  3. 3.The mean of 6 numbers is 10. When the number 38 is added to them, what is the new mean? (a) 14 (b) 24 (c) 15 (d) 10
  4. 4.What is the mean of 5, 2, 7, 6 and 10? (a) 7 (b) 6 (c) 8 (d) 5
  5. 5.What is the mode of 2, 7, 19, 10, 19, 2 and 2? (a) 7 (b) 19 (c) 10 (d) 2
  6. 6.The mean of 4 numbers is 36. When the number 41 is added to them, what is the new mean? (a) 36 (b) 37 (c) 38 (d) 39
  7. 7.What is the mode of 8, 6, 11, 8, 17, 6 and 6? (a) 8 (b) 6 (c) 11 (d) 17
  8. 8.The mean of 6 numbers is 19. When the number 47 is added to them, what is the new mean? (a) 33 (b) 19 (c) 23 (d) 24
  9. 9.What is the mean of 2, 2, 9 and 15? (a) 8 (b) 6 (c) 9 (d) 7
  10. 10.What is the median of 33, 3, 1, 28, 22, 21 and 17? (a) 28 (b) 17 (c) 22 (d) 21
  11. 11.What is the median of 36, 20, 3, 15, 18, 7 and 1? (a) 7 (b) 16 (c) 15 (d) 18
  12. 12.What is the mode of 15, 20, 3, 20, 3, 4 and 3? (a) 15 (b) 20 (c) 3 (d) 4
  13. 13.What is the median of 13, 24, 16, 40 and 5? (a) 17 (b) 24 (c) 13 (d) 16
  14. 14.The mean of 7 numbers is 32. When the number 48 is added to them, what is the new mean? (a) 40 (b) 32 (c) 35 (d) 34
  15. 15.What is the mean of 11, 18, 13 and 6? (a) 13 (b) 12 (c) 11 (d) 16
  16. 16.What is the mean of 18, 15, 3, 13 and 6? (a) 13 (b) 10 (c) 12 (d) 11
  17. 17.What is the mode of 11, 20, 18, 18, 16, 16 and 16? (a) 11 (b) 16 (c) 20 (d) 18
  18. 18.What is the mean of 15, 19, 20 and 6? (a) 15 (b) 16 (c) 20 (d) 12
  19. 19.What is the mean of 18, 6, 15 and 5? (a) 13 (b) 12 (c) 11 (d) 10
  20. 20.What is the mean of 14, 3, 19, 9 and 20? (a) 13 (b) 12 (c) 15 (d) 14
  21. 21.The mean of 3 numbers is 39. When the number 23 is added to them, what is the new mean? (a) 36 (b) 39 (c) 31 (d) 35
  22. 22.What is the mean of 7, 7, 8, 4 and 9? (a) 8 (b) 9 (c) 7 (d) 6
  23. 23.The mean of 8 numbers is 23. When the number 41 is added to them, what is the new mean? (a) 32 (b) 26 (c) 25 (d) 23
  24. 24.What is the median of 29, 26, 13, 17 and 3? (a) 18 (b) 26 (c) 13 (d) 17
  25. 25.What is the mode of 15, 1, 14, 1, 1, 16 and 16? (a) 14 (b) 15 (c) 1 (d) 16
  26. 26.What is the mean of 4, 14, 5 and 9? (a) 9 (b) 10 (c) 7 (d) 8
  27. 27.The mean of 9 numbers is 36. When the number 46 is added to them, what is the new mean? (a) 41 (b) 38 (c) 36 (d) 37
  28. 28.The mean of 3 numbers is 28. When the number 36 is added to them, what is the new mean? (a) 28 (b) 32 (c) 30 (d) 31
  29. 29.The mean of 7 numbers is 18. When the number 50 is added to them, what is the new mean? (a) 23 (b) 18 (c) 22 (d) 34
  30. 30.The mean of 3 numbers is 39. When the number 35 is added to them, what is the new mean? (a) 39 (b) 40 (c) 38 (d) 37
  31. 31.The mean of 3 numbers is 36. When the number 32 is added to them, what is the new mean? (a) 35 (b) 37 (c) 34 (d) 36
  32. 32.What is the mean of 16, 6, 5 and 9? (a) 12 (b) 8 (c) 9 (d) 10
  33. 33.What is the median of 19, 17, 9, 6 and 40? (a) 17 (b) 9 (c) 19 (d) 18
  34. 34.The mean of 8 numbers is 33. When the number 69 is added to them, what is the new mean? (a) 37 (b) 38 (c) 33 (d) 51
  35. 35.The mean of 6 numbers is 26. When the number 19 is added to them, what is the new mean? (a) 27 (b) 24 (c) 26 (d) 25
  36. 36.What is the median of 35, 2, 3, 36 and 40? (a) 35 (b) 34 (c) 3 (d) 36
  37. 37.What is the mode of 12, 17, 17, 11, 17, 6 and 6? (a) 12 (b) 6 (c) 11 (d) 17
  38. 38.What is the mean of 6, 6, 14 and 14? (a) 11 (b) 9 (c) 8 (d) 10
  39. 39.What is the mean of 10, 8, 2 and 20? (a) 11 (b) 10 (c) 9 (d) 8
  40. 40.What is the mode of 8, 10, 4, 10, 15, 4 and 10? (a) 10 (b) 15 (c) 8 (d) 4

Answer key

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

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