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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 883 · 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 3 numbers is 10. When the number 18 is added to them, what is the new mean? (a) 10 (b) 14 (c) 12 (d) 13
  2. 2.The mean of 7 numbers is 32. When the number 8 is added to them, what is the new mean? (a) 32 (b) 29 (c) 30 (d) 20
  3. 3.What is the mean of 18, 16, 7, 14, 10 and 7? (a) 12 (b) 13 (c) 14 (d) 11
  4. 4.What is the median of 18, 4, 32, 1 and 31? (a) 31 (b) 32 (c) 18 (d) 4
  5. 5.What is the median of 22, 31, 7, 19 and 25? (a) 22 (b) 19 (c) 25 (d) 7
  6. 6.What is the median of 32, 9, 17, 22 and 23? (a) 21 (b) 23 (c) 22 (d) 17
  7. 7.What is the mode of 2, 2, 8, 8, 5, 8 and 12? (a) 2 (b) 12 (c) 8 (d) 5
  8. 8.The mean of 6 numbers is 24. When the number 3 is added to them, what is the new mean? (a) 20 (b) 22 (c) 21 (d) 24
  9. 9.What is the mode of 10, 17, 2, 10, 9, 10 and 2? (a) 2 (b) 10 (c) 9 (d) 17
  10. 10.What is the mean of 9, 8, 3 and 4? (a) 7 (b) 6 (c) 5 (d) 8
  11. 11.What is the median of 21, 7, 40, 15 and 3? (a) 15 (b) 7 (c) 21 (d) 40
  12. 12.The mean of 4 numbers is 11. When the number 21 is added to them, what is the new mean? (a) 14 (b) 11 (c) 16 (d) 13
  13. 13.The mean of 4 numbers is 19. When the number 29 is added to them, what is the new mean? (a) 22 (b) 21 (c) 19 (d) 24
  14. 14.What is the mean of 5, 14, 19, 2 and 20? (a) 15 (b) 13 (c) 12 (d) 10
  15. 15.What is the mean of 8, 17, 12 and 15? (a) 13 (b) 12 (c) 15 (d) 14
  16. 16.What is the mode of 4, 1, 4, 2, 8, 2 and 4? (a) 1 (b) 4 (c) 2 (d) 8
  17. 17.What is the median of 36, 23, 29, 32 and 4? (a) 23 (b) 32 (c) 29 (d) 30
  18. 18.What is the median of 30, 6, 25, 4 and 7? (a) 7 (b) 8 (c) 6 (d) 25
  19. 19.What is the mode of 10, 10, 15, 6, 18, 6 and 10? (a) 6 (b) 10 (c) 15 (d) 18
  20. 20.The mean of 5 numbers is 40. When the number 46 is added to them, what is the new mean? (a) 43 (b) 41 (c) 40 (d) 42
  21. 21.What is the median of 7, 33, 21, 30 and 31? (a) 29 (b) 30 (c) 31 (d) 21
  22. 22.What is the mean of 18, 12, 3, 11 and 11? (a) 11 (b) 10 (c) 13 (d) 12
  23. 23.What is the median of 25, 15, 10, 5 and 22? (a) 16 (b) 15 (c) 22 (d) 10
  24. 24.What is the mode of 8, 15, 15, 15, 18, 2 and 8? (a) 8 (b) 18 (c) 2 (d) 15
  25. 25.The mean of 4 numbers is 37. When the number 32 is added to them, what is the new mean? (a) 37 (b) 35 (c) 36 (d) 38
  26. 26.What is the mode of 20, 19, 14, 1, 14, 14 and 19? (a) 20 (b) 14 (c) 19 (d) 1
  27. 27.What is the mode of 2, 4, 12, 5, 2, 5 and 5? (a) 2 (b) 12 (c) 4 (d) 5
  28. 28.The mean of 6 numbers is 17. When the number 3 is added to them, what is the new mean? (a) 10 (b) 16 (c) 17 (d) 15
  29. 29.What is the mean of 20, 16, 5, 18, 13 and 24? (a) 16 (b) 18 (c) 15 (d) 17
  30. 30.The mean of 6 numbers is 19. When the number 26 is added to them, what is the new mean? (a) 19 (b) 21 (c) 20 (d) 22
  31. 31.What is the mode of 10, 7, 2, 10, 10, 5 and 5? (a) 7 (b) 2 (c) 5 (d) 10
  32. 32.What is the median of 10, 8, 28, 3 and 32? (a) 8 (b) 28 (c) 11 (d) 10
  33. 33.What is the median of 33, 34, 40, 27, 8, 24 and 25? (a) 25 (b) 27 (c) 33 (d) 28
  34. 34.The mean of 8 numbers is 11. When the number 2 is added to them, what is the new mean? (a) 10 (b) 12 (c) 9 (d) 11
  35. 35.What is the mean of 5, 5, 8, 17 and 20? (a) 10 (b) 12 (c) 13 (d) 11
  36. 36.What is the mode of 4, 19, 11, 12, 11, 4 and 4? (a) 12 (b) 19 (c) 11 (d) 4
  37. 37.What is the median of 7, 13, 12, 34, 40, 14 and 37? (a) 15 (b) 34 (c) 13 (d) 14
  38. 38.The mean of 3 numbers is 34. When the number 46 is added to them, what is the new mean? (a) 34 (b) 37 (c) 38 (d) 40
  39. 39.What is the mode of 12, 2, 2, 11, 19, 12 and 2? (a) 19 (b) 11 (c) 2 (d) 12
  40. 40.The mean of 8 numbers is 13. When the number 22 is added to them, what is the new mean? (a) 13 (b) 14 (c) 15 (d) 16

Answer key

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

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