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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 945 · 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 18, 30, 10, 1 and 21? (a) 16 (b) 10 (c) 21 (d) 18
  2. 2.What is the median of 11, 24, 23, 26, 14, 13 and 30? (a) 14 (b) 24 (c) 26 (d) 23
  3. 3.The mean of 4 numbers is 33. When the number 18 is added to them, what is the new mean? (a) 29 (b) 31 (c) 30 (d) 33
  4. 4.The mean of 7 numbers is 21. When the number 37 is added to them, what is the new mean? (a) 24 (b) 29 (c) 23 (d) 21
  5. 5.What is the mode of 1, 6, 9, 9, 19, 6 and 6? (a) 1 (b) 6 (c) 9 (d) 19
  6. 6.What is the mean of 16, 8, 9 and 3? (a) 9 (b) 8 (c) 10 (d) 12
  7. 7.What is the median of 1, 19, 38, 8, 26, 10 and 34? (a) 8 (b) 10 (c) 19 (d) 26
  8. 8.What is the mean of 15, 9, 17, 5 and 14? (a) 15 (b) 12 (c) 13 (d) 10
  9. 9.What is the mean of 3, 5, 17, 8, 19 and 8? (a) 12 (b) 10 (c) 11 (d) 9
  10. 10.What is the median of 1, 17, 23, 8 and 36? (a) 17 (b) 18 (c) 23 (d) 8
  11. 11.What is the mode of 11, 12, 11, 8, 14, 12 and 11? (a) 8 (b) 14 (c) 11 (d) 12
  12. 12.What is the mode of 5, 14, 5, 12, 14, 16 and 14? (a) 14 (b) 5 (c) 16 (d) 12
  13. 13.What is the mean of 10, 20, 7, 5, 15 and 15? (a) 11 (b) 13 (c) 12 (d) 14
  14. 14.What is the median of 14, 29, 25, 31, 34, 15 and 19? (a) 31 (b) 29 (c) 25 (d) 19
  15. 15.What is the mean of 13, 4, 6 and 5? (a) 8 (b) 7 (c) 6 (d) 9
  16. 16.The mean of 9 numbers is 38. When the number 58 is added to them, what is the new mean? (a) 38 (b) 41 (c) 40 (d) 48
  17. 17.What is the mean of 7, 8, 9, 6, 17 and 19? (a) 11 (b) 12 (c) 10 (d) 13
  18. 18.What is the mode of 8, 8, 2, 4, 7, 8 and 4? (a) 4 (b) 7 (c) 2 (d) 8
  19. 19.What is the mean of 14, 7, 5 and 2? (a) 9 (b) 6 (c) 7 (d) 8
  20. 20.What is the mean of 15, 11, 11, 8 and 10? (a) 13 (b) 10 (c) 11 (d) 12
  21. 21.The mean of 3 numbers is 40. When the number 48 is added to them, what is the new mean? (a) 40 (b) 43 (c) 42 (d) 44
  22. 22.What is the mean of 19, 12, 6, 17 and 6? (a) 13 (b) 15 (c) 12 (d) 10
  23. 23.The mean of 6 numbers is 33. When the number 54 is added to them, what is the new mean? (a) 33 (b) 36 (c) 37 (d) 35
  24. 24.What is the mean of 2, 3, 3 and 8? (a) 6 (b) 4 (c) 3 (d) 5
  25. 25.What is the mean of 5, 9, 19 and 19? (a) 15 (b) 14 (c) 12 (d) 13
  26. 26.What is the mode of 2, 13, 2, 13, 2, 3 and 12? (a) 3 (b) 2 (c) 13 (d) 12
  27. 27.What is the mean of 16, 9, 19, 9 and 17? (a) 13 (b) 16 (c) 14 (d) 15
  28. 28.What is the median of 36, 32, 16, 39 and 34? (a) 34 (b) 36 (c) 16 (d) 32
  29. 29.What is the mean of 16, 18, 17 and 9? (a) 20 (b) 15 (c) 12 (d) 16
  30. 30.What is the mean of 7, 6, 9 and 10? (a) 10 (b) 7 (c) 9 (d) 8
  31. 31.What is the median of 5, 26, 3, 8 and 24? (a) 24 (b) 8 (c) 5 (d) 3
  32. 32.What is the mode of 2, 5, 2, 5, 11, 10 and 5? (a) 2 (b) 10 (c) 5 (d) 11
  33. 33.The mean of 3 numbers is 13. When the number 17 is added to them, what is the new mean? (a) 13 (b) 16 (c) 14 (d) 15
  34. 34.What is the median of 32, 6, 22, 36 and 17? (a) 32 (b) 17 (c) 22 (d) 23
  35. 35.The mean of 7 numbers is 13. When the number 5 is added to them, what is the new mean? (a) 9 (b) 13 (c) 11 (d) 12
  36. 36.What is the mode of 11, 7, 7, 11, 17, 3 and 7? (a) 11 (b) 7 (c) 17 (d) 3
  37. 37.What is the mean of 4, 10, 17, 14 and 15? (a) 10 (b) 13 (c) 15 (d) 12
  38. 38.What is the median of 26, 36, 3, 10 and 23? (a) 26 (b) 23 (c) 10 (d) 3
  39. 39.What is the mean of 18, 15, 10, 16 and 6? (a) 12 (b) 14 (c) 13 (d) 15
  40. 40.What is the mode of 19, 11, 12, 12, 19, 19 and 4? (a) 19 (b) 4 (c) 11 (d) 12

Answer key

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

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