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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 496 · 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 7 numbers is 10. When the number 18 is added to them, what is the new mean? (a) 10 (b) 11 (c) 12 (d) 14
  2. 2.What is the mean of 12, 11, 8 and 21? (a) 14 (b) 12 (c) 13 (d) 15
  3. 3.What is the median of 16, 12, 10, 6, 7, 14 and 20? (a) 14 (b) 6 (c) 12 (d) 10
  4. 4.What is the mode of 14, 1, 15, 14, 15, 3 and 14? (a) 1 (b) 14 (c) 15 (d) 3
  5. 5.The mean of 7 numbers is 34. When the number 26 is added to them, what is the new mean? (a) 30 (b) 34 (c) 33 (d) 32
  6. 6.What is the mean of 5, 17, 9 and 17? (a) 13 (b) 12 (c) 11 (d) 16
  7. 7.What is the median of 27, 3, 29, 25, 21, 16 and 12? (a) 21 (b) 16 (c) 19 (d) 25
  8. 8.The mean of 5 numbers is 10. When the number 34 is added to them, what is the new mean? (a) 10 (b) 22 (c) 15 (d) 14
  9. 9.The mean of 7 numbers is 30. When the number 22 is added to them, what is the new mean? (a) 28 (b) 26 (c) 30 (d) 29
  10. 10.The mean of 7 numbers is 12. When the number 4 is added to them, what is the new mean? (a) 8 (b) 12 (c) 11 (d) 10
  11. 11.The mean of 5 numbers is 24. When the number 12 is added to them, what is the new mean? (a) 24 (b) 23 (c) 22 (d) 18
  12. 12.What is the mode of 13, 16, 15, 12, 16, 16 and 12? (a) 15 (b) 16 (c) 13 (d) 12
  13. 13.What is the median of 30, 9, 23, 7, 29, 35 and 31? (a) 29 (b) 30 (c) 7 (d) 23
  14. 14.What is the mode of 3, 7, 3, 8, 10, 10 and 3? (a) 3 (b) 8 (c) 10 (d) 7
  15. 15.What is the mean of 8, 15, 11, 18, 10 and 4? (a) 10 (b) 12 (c) 13 (d) 11
  16. 16.What is the median of 15, 3, 6, 35 and 27? (a) 15 (b) 27 (c) 16 (d) 6
  17. 17.The mean of 6 numbers is 26. When the number 5 is added to them, what is the new mean? (a) 26 (b) 22 (c) 23 (d) 24
  18. 18.The mean of 3 numbers is 36. When the number 44 is added to them, what is the new mean? (a) 36 (b) 40 (c) 38 (d) 39
  19. 19.What is the median of 34, 22, 21, 37, 12, 14 and 5? (a) 37 (b) 22 (c) 21 (d) 14
  20. 20.What is the median of 5, 3, 36, 38, 10, 7 and 35? (a) 35 (b) 38 (c) 7 (d) 10
  21. 21.The mean of 4 numbers is 36. When the number 56 is added to them, what is the new mean? (a) 41 (b) 36 (c) 46 (d) 40
  22. 22.What is the mode of 14, 6, 2, 12, 14, 6 and 14? (a) 6 (b) 12 (c) 14 (d) 2
  23. 23.What is the mode of 8, 14, 13, 8, 15, 15 and 8? (a) 14 (b) 15 (c) 8 (d) 13
  24. 24.What is the mode of 17, 5, 14, 14, 12, 12 and 14? (a) 5 (b) 14 (c) 12 (d) 17
  25. 25.What is the mode of 6, 5, 15, 6, 5, 1 and 5? (a) 6 (b) 1 (c) 15 (d) 5
  26. 26.The mean of 7 numbers is 21. When the number 13 is added to them, what is the new mean? (a) 21 (b) 20 (c) 17 (d) 19
  27. 27.What is the median of 1, 26, 24, 25 and 10? (a) 23 (b) 24 (c) 10 (d) 25
  28. 28.What is the mean of 3, 3, 18 and 4? (a) 9 (b) 6 (c) 8 (d) 7
  29. 29.What is the mean of 13, 6, 12 and 13? (a) 13 (b) 11 (c) 12 (d) 10
  30. 30.What is the median of 38, 5, 6, 18, 13, 15 and 11? (a) 11 (b) 18 (c) 13 (d) 15
  31. 31.What is the mode of 15, 12, 17, 17, 12, 1 and 12? (a) 1 (b) 17 (c) 15 (d) 12
  32. 32.What is the mode of 4, 5, 11, 5, 5, 19 and 4? (a) 19 (b) 11 (c) 4 (d) 5
  33. 33.What is the mode of 6, 2, 4, 2, 7, 7 and 2? (a) 4 (b) 2 (c) 6 (d) 7
  34. 34.What is the mode of 19, 10, 12, 12, 19, 19 and 15? (a) 15 (b) 10 (c) 19 (d) 12
  35. 35.What is the mode of 12, 12, 3, 1, 11, 11 and 12? (a) 11 (b) 12 (c) 3 (d) 1
  36. 36.What is the mode of 6, 6, 6, 9, 9, 17 and 16? (a) 6 (b) 17 (c) 16 (d) 9
  37. 37.What is the mean of 17, 16, 10, 2, 9 and 18? (a) 14 (b) 13 (c) 12 (d) 11
  38. 38.What is the median of 19, 7, 22, 4, 3, 15 and 34? (a) 4 (b) 19 (c) 7 (d) 15
  39. 39.What is the median of 19, 21, 40, 14 and 23? (a) 21 (b) 23 (c) 19 (d) 40
  40. 40.What is the mean of 15, 4, 8 and 17? (a) 13 (b) 11 (c) 12 (d) 10

Answer key

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

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