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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 341 · 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 4 numbers is 27. When the number 47 is added to them, what is the new mean? (a) 27 (b) 31 (c) 37 (d) 32
  2. 2.What is the median of 30, 16, 28, 37 and 4? (a) 16 (b) 28 (c) 30 (d) 23
  3. 3.What is the mode of 12, 8, 12, 20, 6, 8 and 12? (a) 6 (b) 20 (c) 12 (d) 8
  4. 4.The mean of 5 numbers is 21. When the number 45 is added to them, what is the new mean? (a) 33 (b) 25 (c) 21 (d) 26
  5. 5.What is the mean of 18, 9, 3, 19, 3 and 8? (a) 12 (b) 10 (c) 11 (d) 9
  6. 6.What is the mean of 15, 4, 18 and 3? (a) 9 (b) 10 (c) 11 (d) 8
  7. 7.What is the mode of 5, 5, 8, 15, 5, 8 and 11? (a) 8 (b) 15 (c) 11 (d) 5
  8. 8.What is the median of 32, 2, 35, 38 and 1? (a) 33 (b) 35 (c) 32 (d) 2
  9. 9.What is the mean of 15, 11, 14, 6, 17 and 9? (a) 14 (b) 13 (c) 11 (d) 12
  10. 10.What is the mean of 9, 6, 2, 19, 6 and 18? (a) 12 (b) 11 (c) 10 (d) 9
  11. 11.What is the median of 5, 10, 18, 11, 38, 21 and 26? (a) 11 (b) 19 (c) 21 (d) 18
  12. 12.The mean of 4 numbers is 23. When the number 3 is added to them, what is the new mean? (a) 19 (b) 20 (c) 13 (d) 23
  13. 13.What is the median of 40, 10, 18, 20 and 3? (a) 19 (b) 18 (c) 10 (d) 20
  14. 14.What is the mean of 12, 11, 17, 20 and 10? (a) 14 (b) 16 (c) 13 (d) 15
  15. 15.What is the mean of 9, 11, 19 and 5? (a) 10 (b) 11 (c) 12 (d) 13
  16. 16.The mean of 7 numbers is 13. When the number 5 is added to them, what is the new mean? (a) 11 (b) 13 (c) 9 (d) 12
  17. 17.What is the mode of 3, 3, 6, 11, 5, 11 and 11? (a) 3 (b) 11 (c) 5 (d) 6
  18. 18.What is the median of 13, 8, 30, 24, 26, 10 and 27? (a) 24 (b) 13 (c) 26 (d) 25
  19. 19.The mean of 3 numbers is 25. When the number 21 is added to them, what is the new mean? (a) 26 (b) 24 (c) 23 (d) 25
  20. 20.What is the mean of 14, 12, 6 and 20? (a) 13 (b) 14 (c) 12 (d) 15
  21. 21.What is the median of 2, 23, 18, 38 and 33? (a) 23 (b) 33 (c) 24 (d) 18
  22. 22.What is the mode of 9, 5, 7, 5, 19, 9 and 9? (a) 9 (b) 19 (c) 7 (d) 5
  23. 23.The mean of 3 numbers is 38. When the number 26 is added to them, what is the new mean? (a) 35 (b) 38 (c) 36 (d) 32
  24. 24.What is the median of 36, 38, 29, 30 and 34? (a) 30 (b) 34 (c) 36 (d) 29
  25. 25.What is the median of 32, 40, 6, 12 and 15? (a) 6 (b) 15 (c) 32 (d) 21
  26. 26.What is the mean of 17, 11, 15, 7, 17 and 17? (a) 15 (b) 12 (c) 14 (d) 13
  27. 27.What is the mean of 9, 16, 5 and 18? (a) 12 (b) 16 (c) 13 (d) 11
  28. 28.The mean of 5 numbers is 19. When the number 7 is added to them, what is the new mean? (a) 19 (b) 17 (c) 18 (d) 13
  29. 29.What is the median of 15, 6, 8, 16 and 21? (a) 16 (b) 8 (c) 15 (d) 14
  30. 30.What is the mean of 4, 5, 11 and 16? (a) 10 (b) 9 (c) 8 (d) 12
  31. 31.What is the mode of 3, 12, 4, 13, 12, 12 and 4? (a) 13 (b) 4 (c) 3 (d) 12
  32. 32.What is the mode of 10, 8, 5, 19, 5, 19 and 5? (a) 5 (b) 19 (c) 10 (d) 8
  33. 33.What is the mode of 12, 6, 17, 12, 12, 6 and 5? (a) 6 (b) 17 (c) 12 (d) 5
  34. 34.What is the median of 24, 34, 9, 3 and 38? (a) 9 (b) 24 (c) 34 (d) 25
  35. 35.The mean of 3 numbers is 34. When the number 38 is added to them, what is the new mean? (a) 36 (b) 34 (c) 35 (d) 37
  36. 36.The mean of 7 numbers is 25. When the number 17 is added to them, what is the new mean? (a) 23 (b) 25 (c) 21 (d) 24
  37. 37.What is the median of 12, 17, 15, 6, 19, 8 and 25? (a) 17 (b) 15 (c) 6 (d) 12
  38. 38.What is the mean of 8, 9, 9, 3 and 21? (a) 9 (b) 10 (c) 11 (d) 12
  39. 39.The mean of 3 numbers is 27. When the number 35 is added to them, what is the new mean? (a) 31 (b) 27 (c) 30 (d) 29
  40. 40.What is the mode of 18, 9, 11, 11, 18, 18 and 2? (a) 11 (b) 2 (c) 18 (d) 9

Answer key

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

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