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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 914 · 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 4 numbers is 28. When the number 18 is added to them, what is the new mean? (a) 28 (b) 23 (c) 27 (d) 26
  2. 2.What is the mode of 2, 11, 2, 1, 11, 11 and 7? (a) 7 (b) 1 (c) 11 (d) 2
  3. 3.What is the median of 12, 15, 2, 36, 24, 3 and 23? (a) 36 (b) 23 (c) 12 (d) 15
  4. 4.What is the mean of 18, 13, 13, 2 and 4? (a) 11 (b) 12 (c) 10 (d) 9
  5. 5.The mean of 4 numbers is 25. When the number 15 is added to them, what is the new mean? (a) 24 (b) 20 (c) 23 (d) 25
  6. 6.What is the mean of 16, 2, 17, 19, 13 and 11? (a) 12 (b) 13 (c) 14 (d) 15
  7. 7.What is the mode of 12, 19, 19, 20, 20, 20 and 18? (a) 18 (b) 12 (c) 19 (d) 20
  8. 8.What is the mode of 20, 13, 13, 4, 13, 6 and 4? (a) 6 (b) 20 (c) 4 (d) 13
  9. 9.The mean of 4 numbers is 32. When the number 37 is added to them, what is the new mean? (a) 32 (b) 35 (c) 34 (d) 33
  10. 10.What is the mean of 16, 20, 18, 10, 14 and 6? (a) 14 (b) 13 (c) 15 (d) 12
  11. 11.What is the mean of 14, 8, 5, 7, 5 and 21? (a) 11 (b) 9 (c) 10 (d) 12
  12. 12.What is the mode of 6, 14, 19, 19, 9, 9 and 19? (a) 19 (b) 14 (c) 6 (d) 9
  13. 13.What is the median of 29, 39, 38, 7 and 36? (a) 29 (b) 38 (c) 37 (d) 36
  14. 14.What is the mode of 8, 2, 8, 8, 2, 1 and 15? (a) 8 (b) 1 (c) 15 (d) 2
  15. 15.The mean of 7 numbers is 12. When the number 28 is added to them, what is the new mean? (a) 20 (b) 12 (c) 15 (d) 14
  16. 16.What is the mean of 20, 9, 7 and 16? (a) 14 (b) 12 (c) 15 (d) 13
  17. 17.What is the mean of 6, 19, 15, 8 and 17? (a) 15 (b) 12 (c) 14 (d) 13
  18. 18.What is the mode of 16, 3, 19, 16, 15, 19 and 16? (a) 19 (b) 15 (c) 16 (d) 3
  19. 19.What is the mean of 19, 4, 5 and 20? (a) 11 (b) 13 (c) 12 (d) 16
  20. 20.What is the mean of 5, 9, 12 and 6? (a) 7 (b) 9 (c) 10 (d) 8
  21. 21.What is the median of 4, 33, 28, 40 and 20? (a) 25 (b) 33 (c) 28 (d) 20
  22. 22.What is the median of 5, 3, 21, 25, 35, 38 and 39? (a) 21 (b) 25 (c) 26 (d) 35
  23. 23.What is the mode of 12, 13, 14, 19, 12, 12 and 19? (a) 12 (b) 13 (c) 14 (d) 19
  24. 24.What is the mean of 11, 15, 5, 18 and 16? (a) 14 (b) 15 (c) 12 (d) 13
  25. 25.What is the median of 31, 22, 40, 26 and 5? (a) 40 (b) 26 (c) 22 (d) 31
  26. 26.What is the median of 8, 13, 37, 6, 26, 19 and 5? (a) 6 (b) 19 (c) 8 (d) 13
  27. 27.What is the mean of 6, 3, 16, 17 and 23? (a) 12 (b) 14 (c) 15 (d) 13
  28. 28.What is the mode of 6, 6, 18, 3, 11, 18 and 18? (a) 6 (b) 18 (c) 11 (d) 3
  29. 29.What is the mode of 16, 12, 16, 9, 9, 5 and 9? (a) 12 (b) 5 (c) 16 (d) 9
  30. 30.The mean of 3 numbers is 31. When the number 43 is added to them, what is the new mean? (a) 37 (b) 31 (c) 35 (d) 34
  31. 31.What is the mean of 2, 15, 16, 9, 8 and 16? (a) 12 (b) 10 (c) 13 (d) 11
  32. 32.The mean of 8 numbers is 39. When the number 75 is added to them, what is the new mean? (a) 39 (b) 57 (c) 44 (d) 43
  33. 33.What is the median of 3, 39, 19, 1, 33, 13 and 21? (a) 21 (b) 13 (c) 1 (d) 19
  34. 34.What is the mean of 9, 18, 13 and 8? (a) 13 (b) 11 (c) 16 (d) 12
  35. 35.What is the median of 24, 12, 8, 4 and 27? (a) 24 (b) 8 (c) 12 (d) 15
  36. 36.The mean of 3 numbers is 22. When the number 14 is added to them, what is the new mean? (a) 18 (b) 20 (c) 22 (d) 21
  37. 37.What is the median of 12, 6, 31, 26 and 20? (a) 19 (b) 31 (c) 20 (d) 26
  38. 38.The mean of 5 numbers is 17. When the number 5 is added to them, what is the new mean? (a) 16 (b) 17 (c) 11 (d) 15
  39. 39.The mean of 5 numbers is 39. When the number 27 is added to them, what is the new mean? (a) 37 (b) 39 (c) 38 (d) 33
  40. 40.The mean of 8 numbers is 28. When the number 19 is added to them, what is the new mean? (a) 29 (b) 28 (c) 27 (d) 26

Answer key

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

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