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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 964 · 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 12, 5, 1, 13, 38, 26 and 6? (a) 11 (b) 12 (c) 13 (d) 6
  2. 2.What is the mean of 10, 3, 20, 13 and 9? (a) 13 (b) 10 (c) 11 (d) 12
  3. 3.What is the mode of 4, 4, 6, 4, 13, 6 and 16? (a) 16 (b) 4 (c) 13 (d) 6
  4. 4.What is the mode of 12, 2, 3, 19, 19, 12 and 19? (a) 12 (b) 2 (c) 3 (d) 19
  5. 5.The mean of 4 numbers is 21. When the number 16 is added to them, what is the new mean? (a) 20 (b) 22 (c) 21 (d) 19
  6. 6.The mean of 9 numbers is 32. When the number 52 is added to them, what is the new mean? (a) 35 (b) 34 (c) 42 (d) 32
  7. 7.The mean of 7 numbers is 27. When the number 43 is added to them, what is the new mean? (a) 29 (b) 30 (c) 27 (d) 35
  8. 8.What is the median of 38, 1, 4, 27 and 18? (a) 18 (b) 4 (c) 19 (d) 27
  9. 9.What is the mean of 6, 10, 3 and 5? (a) 6 (b) 7 (c) 5 (d) 8
  10. 10.What is the mean of 2, 11, 4 and 23? (a) 8 (b) 9 (c) 11 (d) 10
  11. 11.What is the mean of 18, 17, 4 and 21? (a) 16 (b) 20 (c) 12 (d) 15
  12. 12.What is the median of 4, 40, 8, 2 and 19? (a) 19 (b) 8 (c) 9 (d) 4
  13. 13.The mean of 3 numbers is 16. When the number 12 is added to them, what is the new mean? (a) 15 (b) 14 (c) 16 (d) 17
  14. 14.The mean of 9 numbers is 40. When the number 60 is added to them, what is the new mean? (a) 50 (b) 42 (c) 40 (d) 43
  15. 15.The mean of 7 numbers is 18. When the number 26 is added to them, what is the new mean? (a) 18 (b) 20 (c) 19 (d) 22
  16. 16.What is the median of 36, 32, 37, 11 and 15? (a) 36 (b) 37 (c) 15 (d) 32
  17. 17.What is the mean of 12, 11, 12, 19 and 6? (a) 10 (b) 13 (c) 15 (d) 12
  18. 18.What is the mean of 20, 15, 8 and 9? (a) 15 (b) 13 (c) 14 (d) 12
  19. 19.What is the mode of 17, 7, 7, 12, 7, 12 and 15? (a) 7 (b) 17 (c) 15 (d) 12
  20. 20.What is the mode of 16, 18, 18, 16, 20, 12 and 16? (a) 20 (b) 18 (c) 16 (d) 12
  21. 21.What is the median of 16, 3, 35, 24, 29, 2 and 9? (a) 9 (b) 17 (c) 24 (d) 16
  22. 22.What is the median of 1, 37, 24, 27 and 29? (a) 28 (b) 24 (c) 27 (d) 29
  23. 23.What is the median of 35, 15, 11, 12, 40, 18 and 5? (a) 18 (b) 12 (c) 16 (d) 15
  24. 24.The mean of 6 numbers is 20. When the number 41 is added to them, what is the new mean? (a) 22 (b) 23 (c) 24 (d) 20
  25. 25.What is the mean of 18, 14, 18 and 22? (a) 17 (b) 24 (c) 19 (d) 18
  26. 26.What is the mean of 10, 10, 19 and 5? (a) 11 (b) 10 (c) 12 (d) 13
  27. 27.What is the mode of 6, 10, 10, 6, 19, 3 and 10? (a) 3 (b) 10 (c) 19 (d) 6
  28. 28.The mean of 6 numbers is 30. When the number 23 is added to them, what is the new mean? (a) 30 (b) 28 (c) 31 (d) 29
  29. 29.What is the mode of 14, 16, 16, 1, 6, 6 and 6? (a) 14 (b) 16 (c) 6 (d) 1
  30. 30.What is the mode of 9, 9, 17, 3, 9, 20 and 3? (a) 20 (b) 17 (c) 3 (d) 9
  31. 31.What is the mode of 5, 8, 15, 5, 5, 16 and 15? (a) 5 (b) 15 (c) 8 (d) 16
  32. 32.The mean of 4 numbers is 35. When the number 55 is added to them, what is the new mean? (a) 35 (b) 40 (c) 45 (d) 39
  33. 33.What is the mode of 15, 2, 2, 6, 15, 2 and 8? (a) 6 (b) 2 (c) 15 (d) 8
  34. 34.The mean of 3 numbers is 17. When the number 13 is added to them, what is the new mean? (a) 17 (b) 16 (c) 15 (d) 18
  35. 35.What is the mode of 5, 17, 5, 15, 10, 15 and 15? (a) 10 (b) 5 (c) 15 (d) 17
  36. 36.The mean of 3 numbers is 33. When the number 37 is added to them, what is the new mean? (a) 33 (b) 35 (c) 36 (d) 34
  37. 37.What is the mode of 15, 2, 17, 9, 17, 17 and 15? (a) 9 (b) 2 (c) 15 (d) 17
  38. 38.What is the median of 33, 1, 25, 35, 12, 29 and 22? (a) 35 (b) 25 (c) 22 (d) 29
  39. 39.What is the mode of 15, 11, 17, 17, 8, 15 and 15? (a) 15 (b) 11 (c) 17 (d) 8
  40. 40.What is the mean of 2, 17, 11, 19, 8 and 21? (a) 12 (b) 13 (c) 14 (d) 15

Answer key

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

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