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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 953 · 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 18, 7, 18, 6, 7, 18 and 11? (a) 18 (b) 11 (c) 6 (d) 7
  2. 2.The mean of 7 numbers is 17. When the number 25 is added to them, what is the new mean? (a) 21 (b) 17 (c) 18 (d) 19
  3. 3.What is the mean of 11, 5, 14, 20, 3 and 19? (a) 13 (b) 11 (c) 14 (d) 12
  4. 4.The mean of 8 numbers is 34. When the number 25 is added to them, what is the new mean? (a) 35 (b) 34 (c) 33 (d) 32
  5. 5.What is the median of 8, 14, 3, 11, 38, 35 and 4? (a) 8 (b) 11 (c) 12 (d) 14
  6. 6.What is the mean of 2, 7, 17 and 14? (a) 8 (b) 10 (c) 9 (d) 11
  7. 7.What is the mean of 3, 2, 2, 11 and 12? (a) 7 (b) 5 (c) 6 (d) 8
  8. 8.What is the median of 28, 6, 27, 10, 35, 4 and 19? (a) 19 (b) 20 (c) 27 (d) 10
  9. 9.What is the mean of 3, 11, 3, 14 and 9? (a) 7 (b) 10 (c) 9 (d) 8
  10. 10.What is the mean of 19, 11, 11, 18, 14 and 17? (a) 18 (b) 16 (c) 14 (d) 15
  11. 11.What is the mode of 5, 4, 13, 4, 13, 18 and 4? (a) 18 (b) 13 (c) 5 (d) 4
  12. 12.The mean of 3 numbers is 19. When the number 3 is added to them, what is the new mean? (a) 19 (b) 11 (c) 15 (d) 16
  13. 13.What is the mode of 2, 18, 16, 18, 19, 2 and 2? (a) 19 (b) 16 (c) 2 (d) 18
  14. 14.The mean of 5 numbers is 32. When the number 56 is added to them, what is the new mean? (a) 37 (b) 44 (c) 32 (d) 36
  15. 15.What is the mode of 9, 16, 3, 3, 16, 3 and 6? (a) 9 (b) 6 (c) 3 (d) 16
  16. 16.What is the mode of 15, 20, 16, 15, 11, 11 and 15? (a) 20 (b) 15 (c) 11 (d) 16
  17. 17.What is the mean of 9, 4, 9 and 18? (a) 11 (b) 9 (c) 8 (d) 10
  18. 18.What is the median of 4, 39, 12, 40, 38, 20 and 8? (a) 23 (b) 38 (c) 20 (d) 40
  19. 19.What is the median of 21, 15, 26, 28 and 13? (a) 15 (b) 21 (c) 22 (d) 26
  20. 20.What is the mode of 2, 5, 3, 2, 3, 18 and 2? (a) 3 (b) 18 (c) 2 (d) 5
  21. 21.What is the median of 36, 29, 2, 39 and 5? (a) 5 (b) 29 (c) 36 (d) 2
  22. 22.The mean of 3 numbers is 26. When the number 38 is added to them, what is the new mean? (a) 30 (b) 29 (c) 32 (d) 26
  23. 23.What is the mean of 14, 9, 11 and 14? (a) 13 (b) 16 (c) 11 (d) 12
  24. 24.What is the mean of 11, 13, 6, 7 and 18? (a) 11 (b) 13 (c) 12 (d) 10
  25. 25.What is the median of 12, 3, 29, 31, 28, 40 and 30? (a) 28 (b) 29 (c) 30 (d) 31
  26. 26.What is the median of 10, 39, 40, 38, 34, 32 and 9? (a) 38 (b) 34 (c) 32 (d) 35
  27. 27.What is the mean of 6, 16, 12, 17 and 9? (a) 13 (b) 12 (c) 15 (d) 10
  28. 28.What is the mean of 2, 5, 6 and 7? (a) 7 (b) 6 (c) 4 (d) 5
  29. 29.The mean of 8 numbers is 32. When the number 59 is added to them, what is the new mean? (a) 36 (b) 32 (c) 34 (d) 35
  30. 30.The mean of 4 numbers is 10. When the number 5 is added to them, what is the new mean? (a) 8 (b) 10 (c) 9 (d) 11
  31. 31.What is the mean of 2, 4, 10, 2 and 22? (a) 10 (b) 7 (c) 9 (d) 8
  32. 32.What is the median of 28, 35, 37, 23 and 33? (a) 35 (b) 33 (c) 37 (d) 28
  33. 33.The mean of 7 numbers is 35. When the number 43 is added to them, what is the new mean? (a) 39 (b) 37 (c) 35 (d) 36
  34. 34.What is the mean of 7, 5, 3, 3 and 12? (a) 5 (b) 8 (c) 7 (d) 6
  35. 35.What is the mode of 20, 11, 11, 20, 19, 2 and 20? (a) 20 (b) 19 (c) 11 (d) 2
  36. 36.The mean of 3 numbers is 17. When the number 1 is added to them, what is the new mean? (a) 14 (b) 13 (c) 17 (d) 9
  37. 37.What is the mean of 8, 10, 7, 15 and 15? (a) 13 (b) 11 (c) 10 (d) 12
  38. 38.What is the mode of 6, 18, 14, 14, 13, 14 and 13? (a) 6 (b) 18 (c) 14 (d) 13
  39. 39.What is the median of 8, 2, 27, 3, 24, 38 and 34? (a) 3 (b) 27 (c) 8 (d) 24
  40. 40.What is the mode of 7, 5, 14, 14, 12, 14 and 12? (a) 5 (b) 14 (c) 12 (d) 7

Answer key

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

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