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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 34 · 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 28. When the number 64 is added to them, what is the new mean? (a) 28 (b) 33 (c) 46 (d) 32
  2. 2.The mean of 9 numbers is 40. When the number 10 is added to them, what is the new mean? (a) 40 (b) 38 (c) 25 (d) 37
  3. 3.The mean of 6 numbers is 29. When the number 15 is added to them, what is the new mean? (a) 29 (b) 27 (c) 22 (d) 28
  4. 4.What is the mode of 18, 8, 8, 4, 19, 18 and 8? (a) 4 (b) 18 (c) 8 (d) 19
  5. 5.What is the mode of 17, 17, 20, 6, 18, 20 and 17? (a) 20 (b) 17 (c) 18 (d) 6
  6. 6.What is the mean of 8, 12, 4 and 4? (a) 6 (b) 8 (c) 9 (d) 7
  7. 7.What is the median of 34, 10, 9, 16, 22, 2 and 8? (a) 10 (b) 9 (c) 16 (d) 11
  8. 8.The mean of 8 numbers is 35. When the number 17 is added to them, what is the new mean? (a) 26 (b) 33 (c) 35 (d) 34
  9. 9.What is the mean of 14, 8, 3, 5 and 20? (a) 9 (b) 11 (c) 12 (d) 10
  10. 10.What is the mode of 4, 20, 6, 1, 6, 20 and 6? (a) 20 (b) 6 (c) 4 (d) 1
  11. 11.The mean of 6 numbers is 24. When the number 3 is added to them, what is the new mean? (a) 24 (b) 20 (c) 22 (d) 21
  12. 12.What is the median of 40, 4, 17, 6, 1, 36 and 20? (a) 20 (b) 17 (c) 6 (d) 18
  13. 13.What is the mean of 4, 4, 7, 2, 2 and 17? (a) 5 (b) 8 (c) 7 (d) 6
  14. 14.The mean of 7 numbers is 14. When the number 46 is added to them, what is the new mean? (a) 14 (b) 18 (c) 30 (d) 19
  15. 15.What is the median of 7, 32, 3, 26 and 25? (a) 7 (b) 26 (c) 25 (d) 3
  16. 16.What is the mode of 14, 14, 18, 6, 6, 1 and 6? (a) 14 (b) 1 (c) 18 (d) 6
  17. 17.What is the median of 19, 9, 14, 20 and 6? (a) 15 (b) 9 (c) 14 (d) 19
  18. 18.What is the mean of 3, 5, 15, 2 and 10? (a) 9 (b) 7 (c) 6 (d) 8
  19. 19.What is the median of 1, 39, 2, 26 and 19? (a) 20 (b) 19 (c) 26 (d) 2
  20. 20.What is the median of 2, 35, 25, 30 and 40? (a) 30 (b) 25 (c) 31 (d) 35
  21. 21.The mean of 4 numbers is 16. When the number 26 is added to them, what is the new mean? (a) 18 (b) 19 (c) 21 (d) 16
  22. 22.What is the mean of 19, 2, 3 and 4? (a) 9 (b) 8 (c) 6 (d) 7
  23. 23.The mean of 8 numbers is 38. When the number 65 is added to them, what is the new mean? (a) 42 (b) 38 (c) 40 (d) 41
  24. 24.What is the median of 28, 18, 23, 29 and 2? (a) 20 (b) 18 (c) 28 (d) 23
  25. 25.What is the mean of 20, 5, 2 and 5? (a) 10 (b) 7 (c) 9 (d) 8
  26. 26.What is the mode of 8, 15, 8, 18, 4, 15 and 15? (a) 18 (b) 15 (c) 8 (d) 4
  27. 27.What is the mean of 19, 10, 10 and 17? (a) 13 (b) 16 (c) 15 (d) 14
  28. 28.What is the mode of 19, 7, 7, 6, 6, 6 and 3? (a) 19 (b) 7 (c) 3 (d) 6
  29. 29.The mean of 3 numbers is 22. When the number 30 is added to them, what is the new mean? (a) 26 (b) 22 (c) 25 (d) 24
  30. 30.What is the mode of 1, 1, 19, 7, 20, 1 and 20? (a) 7 (b) 1 (c) 19 (d) 20
  31. 31.What is the mode of 3, 15, 6, 3, 10, 6 and 3? (a) 15 (b) 6 (c) 10 (d) 3
  32. 32.What is the median of 7, 6, 1, 34 and 21? (a) 6 (b) 1 (c) 7 (d) 21
  33. 33.The mean of 6 numbers is 19. When the number 40 is added to them, what is the new mean? (a) 22 (b) 23 (c) 21 (d) 19
  34. 34.What is the median of 11, 5, 8, 13, 35, 1 and 26? (a) 13 (b) 8 (c) 12 (d) 11
  35. 35.What is the mean of 7, 9, 12, 5, 4 and 11? (a) 7 (b) 8 (c) 9 (d) 10
  36. 36.The mean of 7 numbers is 20. When the number 52 is added to them, what is the new mean? (a) 20 (b) 24 (c) 36 (d) 25
  37. 37.What is the mean of 19, 5, 6, 10, 5 and 21? (a) 12 (b) 13 (c) 10 (d) 11
  38. 38.What is the median of 33, 25, 23, 32, 35, 17 and 15? (a) 32 (b) 23 (c) 25 (d) 26
  39. 39.The mean of 3 numbers is 10. When the number 14 is added to them, what is the new mean? (a) 11 (b) 10 (c) 13 (d) 12
  40. 40.What is the median of 29, 10, 37, 5, 4, 31 and 26? (a) 29 (b) 10 (c) 26 (d) 5

Answer key

  1. 32
  2. 37
  3. 27
  4. 8
  5. 17
  6. 7
  7. 10
  8. 33
  9. 10
  10. 6
  11. 21
  12. 17
  13. 6
  14. 18
  15. 25
  16. 6
  17. 14
  18. 7
  19. 19
  20. 30
  21. 18
  22. 7
  23. 41
  24. 23
  25. 8
  26. 15
  27. 14
  28. 6
  29. 24
  30. 1
  31. 3
  32. 7
  33. 22
  34. 11
  35. 8
  36. 24
  37. 11
  38. 25
  39. 11
  40. 26

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