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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 228 · 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 6 numbers is 29. When the number 36 is added to them, what is the new mean? (a) 31 (b) 32 (c) 29 (d) 30
  2. 2.What is the median of 3, 11, 4, 2 and 9? (a) 9 (b) 5 (c) 4 (d) 3
  3. 3.What is the mean of 19, 4, 18, 4, 19 and 8? (a) 11 (b) 12 (c) 14 (d) 13
  4. 4.The mean of 4 numbers is 32. When the number 37 is added to them, what is the new mean? (a) 33 (b) 32 (c) 35 (d) 34
  5. 5.What is the median of 8, 35, 25, 32, 1, 33 and 19? (a) 19 (b) 25 (c) 26 (d) 32
  6. 6.What is the mean of 4, 10, 5, 6 and 20? (a) 9 (b) 10 (c) 8 (d) 11
  7. 7.What is the median of 5, 20, 34, 10 and 7? (a) 20 (b) 34 (c) 7 (d) 10
  8. 8.What is the mode of 2, 6, 5, 20, 20, 2 and 2? (a) 20 (b) 2 (c) 6 (d) 5
  9. 9.What is the median of 2, 1, 16, 4, 22, 37 and 5? (a) 4 (b) 6 (c) 16 (d) 5
  10. 10.What is the mean of 10, 5, 16 and 21? (a) 12 (b) 13 (c) 14 (d) 15
  11. 11.The mean of 5 numbers is 40. When the number 58 is added to them, what is the new mean? (a) 40 (b) 44 (c) 49 (d) 43
  12. 12.What is the mean of 5, 16, 11, 3, 3 and 16? (a) 10 (b) 11 (c) 8 (d) 9
  13. 13.What is the mean of 16, 2, 9, 8 and 10? (a) 9 (b) 8 (c) 11 (d) 10
  14. 14.The mean of 5 numbers is 25. When the number 49 is added to them, what is the new mean? (a) 25 (b) 30 (c) 29 (d) 37
  15. 15.What is the mean of 3, 6, 12 and 7? (a) 8 (b) 6 (c) 7 (d) 9
  16. 16.What is the mode of 2, 1, 4, 5, 2, 1 and 1? (a) 2 (b) 4 (c) 5 (d) 1
  17. 17.What is the mode of 9, 5, 9, 9, 1, 8 and 1? (a) 8 (b) 5 (c) 9 (d) 1
  18. 18.What is the median of 29, 37, 22, 40, 5, 8 and 36? (a) 40 (b) 36 (c) 22 (d) 29
  19. 19.What is the mode of 5, 16, 5, 16, 11, 16 and 13? (a) 11 (b) 13 (c) 5 (d) 16
  20. 20.What is the median of 40, 8, 34, 18 and 22? (a) 18 (b) 34 (c) 22 (d) 23
  21. 21.The mean of 3 numbers is 37. When the number 53 is added to them, what is the new mean? (a) 42 (b) 37 (c) 45 (d) 41
  22. 22.What is the mean of 18, 13, 2 and 11? (a) 10 (b) 12 (c) 11 (d) 13
  23. 23.The mean of 8 numbers is 31. When the number 49 is added to them, what is the new mean? (a) 40 (b) 31 (c) 34 (d) 33
  24. 24.What is the mode of 18, 18, 3, 18, 20, 2 and 20? (a) 3 (b) 18 (c) 20 (d) 2
  25. 25.The mean of 7 numbers is 19. When the number 27 is added to them, what is the new mean? (a) 20 (b) 21 (c) 23 (d) 19
  26. 26.What is the mode of 10, 10, 6, 20, 5, 20 and 20? (a) 20 (b) 5 (c) 10 (d) 6
  27. 27.What is the median of 8, 22, 1, 37 and 7? (a) 8 (b) 22 (c) 1 (d) 15
  28. 28.What is the mode of 13, 10, 8, 16, 13, 10 and 10? (a) 16 (b) 8 (c) 13 (d) 10
  29. 29.What is the mean of 6, 11, 3, 19, 19 and 8? (a) 11 (b) 12 (c) 13 (d) 10
  30. 30.What is the median of 11, 5, 22, 40 and 35? (a) 22 (b) 11 (c) 35 (d) 23
  31. 31.What is the mode of 15, 15, 19, 19, 19, 13 and 7? (a) 13 (b) 19 (c) 15 (d) 7
  32. 32.What is the mean of 20, 19, 18, 12 and 16? (a) 16 (b) 18 (c) 17 (d) 19
  33. 33.What is the mode of 11, 10, 11, 9, 11, 15 and 10? (a) 10 (b) 15 (c) 11 (d) 9
  34. 34.The mean of 7 numbers is 23. When the number 47 is added to them, what is the new mean? (a) 27 (b) 23 (c) 26 (d) 35
  35. 35.What is the median of 11, 27, 40, 30, 32, 14 and 38? (a) 27 (b) 30 (c) 31 (d) 32
  36. 36.The mean of 8 numbers is 37. When the number 10 is added to them, what is the new mean? (a) 34 (b) 33 (c) 37 (d) 35
  37. 37.What is the median of 38, 19, 6, 14 and 39? (a) 6 (b) 14 (c) 38 (d) 19
  38. 38.What is the mode of 14, 5, 16, 5, 16, 4 and 16? (a) 4 (b) 5 (c) 16 (d) 14
  39. 39.What is the mean of 18, 4, 4, 16 and 13? (a) 12 (b) 10 (c) 13 (d) 11
  40. 40.What is the mean of 15, 6, 13, 16, 14 and 8? (a) 11 (b) 12 (c) 14 (d) 13

Answer key

  1. 30
  2. 4
  3. 12
  4. 33
  5. 25
  6. 9
  7. 10
  8. 2
  9. 5
  10. 13
  11. 43
  12. 9
  13. 9
  14. 29
  15. 7
  16. 1
  17. 9
  18. 29
  19. 16
  20. 22
  21. 41
  22. 11
  23. 33
  24. 18
  25. 20
  26. 20
  27. 8
  28. 10
  29. 11
  30. 22
  31. 19
  32. 17
  33. 11
  34. 26
  35. 30
  36. 34
  37. 19
  38. 16
  39. 11
  40. 12

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