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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 876 · 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 32. When the number 24 is added to them, what is the new mean? (a) 32 (b) 31 (c) 30 (d) 28
  2. 2.The mean of 8 numbers is 23. When the number 32 is added to them, what is the new mean? (a) 25 (b) 23 (c) 24 (d) 26
  3. 3.What is the mode of 5, 16, 1, 1, 5, 12 and 1? (a) 12 (b) 5 (c) 1 (d) 16
  4. 4.The mean of 7 numbers is 16. When the number 32 is added to them, what is the new mean? (a) 16 (b) 18 (c) 24 (d) 19
  5. 5.What is the mode of 12, 12, 8, 19, 8, 1 and 12? (a) 8 (b) 12 (c) 1 (d) 19
  6. 6.What is the mode of 6, 16, 6, 6, 2, 8 and 2? (a) 6 (b) 16 (c) 8 (d) 2
  7. 7.What is the mean of 17, 17, 12 and 6? (a) 14 (b) 13 (c) 15 (d) 12
  8. 8.The mean of 8 numbers is 19. When the number 37 is added to them, what is the new mean? (a) 21 (b) 28 (c) 22 (d) 19
  9. 9.The mean of 3 numbers is 19. When the number 7 is added to them, what is the new mean? (a) 17 (b) 19 (c) 16 (d) 13
  10. 10.What is the median of 13, 10, 12, 18, 19, 1 and 32? (a) 18 (b) 12 (c) 13 (d) 15
  11. 11.What is the median of 37, 18, 39, 20 and 31? (a) 31 (b) 37 (c) 29 (d) 39
  12. 12.The mean of 3 numbers is 31. When the number 39 is added to them, what is the new mean? (a) 35 (b) 31 (c) 33 (d) 34
  13. 13.What is the mode of 2, 4, 4, 19, 2, 7 and 2? (a) 19 (b) 2 (c) 7 (d) 4
  14. 14.What is the median of 9, 2, 31, 32 and 35? (a) 30 (b) 32 (c) 31 (d) 9
  15. 15.What is the median of 7, 26, 12, 6 and 40? (a) 13 (b) 26 (c) 12 (d) 7
  16. 16.The mean of 7 numbers is 25. When the number 1 is added to them, what is the new mean? (a) 25 (b) 22 (c) 23 (d) 13
  17. 17.What is the mode of 17, 16, 2, 12, 2, 16 and 16? (a) 16 (b) 2 (c) 12 (d) 17
  18. 18.The mean of 8 numbers is 37. When the number 46 is added to them, what is the new mean? (a) 39 (b) 38 (c) 37 (d) 40
  19. 19.What is the median of 5, 34, 14, 36, 29, 11 and 9? (a) 11 (b) 29 (c) 36 (d) 14
  20. 20.What is the mean of 13, 20, 14 and 13? (a) 15 (b) 16 (c) 12 (d) 20
  21. 21.What is the mode of 13, 2, 7, 2, 17, 2 and 13? (a) 7 (b) 2 (c) 13 (d) 17
  22. 22.The mean of 6 numbers is 17. When the number 31 is added to them, what is the new mean? (a) 24 (b) 17 (c) 19 (d) 20
  23. 23.The mean of 3 numbers is 28. When the number 36 is added to them, what is the new mean? (a) 32 (b) 28 (c) 31 (d) 30
  24. 24.What is the mode of 13, 15, 5, 5, 2, 5 and 13? (a) 2 (b) 5 (c) 15 (d) 13
  25. 25.What is the median of 35, 22, 34, 29 and 7? (a) 34 (b) 29 (c) 22 (d) 30
  26. 26.What is the mean of 17, 4, 4, 20 and 20? (a) 13 (b) 14 (c) 12 (d) 15
  27. 27.What is the mean of 17, 6, 8 and 9? (a) 10 (b) 9 (c) 8 (d) 11
  28. 28.The mean of 8 numbers is 33. When the number 42 is added to them, what is the new mean? (a) 33 (b) 34 (c) 35 (d) 36
  29. 29.What is the mode of 7, 15, 2, 15, 1, 1 and 1? (a) 1 (b) 15 (c) 7 (d) 2
  30. 30.The mean of 9 numbers is 40. When the number 30 is added to them, what is the new mean? (a) 35 (b) 38 (c) 40 (d) 39
  31. 31.What is the mode of 5, 3, 16, 13, 3, 13 and 13? (a) 5 (b) 16 (c) 13 (d) 3
  32. 32.What is the median of 1, 20, 26, 31 and 33? (a) 31 (b) 27 (c) 20 (d) 26
  33. 33.What is the median of 9, 37, 25, 33 and 20? (a) 20 (b) 26 (c) 25 (d) 33
  34. 34.What is the mode of 17, 19, 6, 16, 6, 17 and 6? (a) 6 (b) 17 (c) 19 (d) 16
  35. 35.What is the mean of 9, 12, 2, 15, 4 and 12? (a) 8 (b) 11 (c) 10 (d) 9
  36. 36.What is the mode of 7, 13, 9, 9, 7, 9 and 6? (a) 9 (b) 13 (c) 6 (d) 7
  37. 37.What is the mode of 2, 4, 9, 4, 4, 20 and 20? (a) 20 (b) 2 (c) 9 (d) 4
  38. 38.What is the mode of 14, 6, 14, 15, 15, 14 and 4? (a) 6 (b) 15 (c) 14 (d) 4
  39. 39.The mean of 9 numbers is 19. When the number 29 is added to them, what is the new mean? (a) 20 (b) 21 (c) 19 (d) 24
  40. 40.What is the mean of 20, 5, 20 and 15? (a) 12 (b) 15 (c) 20 (d) 16

Answer key

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

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