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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 182 · 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 17. When the number 1 is added to them, what is the new mean? (a) 14 (b) 13 (c) 9 (d) 17
  2. 2.What is the mean of 2, 7, 14, 3 and 14? (a) 9 (b) 8 (c) 10 (d) 7
  3. 3.The mean of 4 numbers is 33. When the number 13 is added to them, what is the new mean? (a) 29 (b) 30 (c) 23 (d) 33
  4. 4.The mean of 7 numbers is 11. When the number 27 is added to them, what is the new mean? (a) 14 (b) 19 (c) 11 (d) 13
  5. 5.What is the mean of 11, 5, 5 and 11? (a) 7 (b) 10 (c) 8 (d) 9
  6. 6.What is the mean of 13, 17, 8, 18 and 19? (a) 16 (b) 14 (c) 17 (d) 15
  7. 7.The mean of 4 numbers is 27. When the number 37 is added to them, what is the new mean? (a) 30 (b) 32 (c) 29 (d) 27
  8. 8.The mean of 9 numbers is 12. When the number 22 is added to them, what is the new mean? (a) 13 (b) 14 (c) 12 (d) 17
  9. 9.What is the mean of 10, 3, 12, 5 and 15? (a) 11 (b) 9 (c) 8 (d) 10
  10. 10.What is the mode of 3, 12, 6, 3, 3, 12 and 2? (a) 2 (b) 3 (c) 6 (d) 12
  11. 11.What is the mode of 13, 2, 13, 4, 13, 4 and 8? (a) 2 (b) 8 (c) 13 (d) 4
  12. 12.What is the mean of 15, 13, 15, 13 and 14? (a) 14 (b) 13 (c) 15 (d) 16
  13. 13.What is the median of 39, 9, 17, 3, 24, 26 and 14? (a) 17 (b) 24 (c) 3 (d) 14
  14. 14.What is the mean of 11, 12, 18, 16, 19 and 8? (a) 15 (b) 14 (c) 12 (d) 13
  15. 15.What is the mode of 20, 6, 20, 17, 20, 10 and 6? (a) 20 (b) 6 (c) 17 (d) 10
  16. 16.What is the mode of 10, 8, 7, 10, 12, 7 and 10? (a) 10 (b) 8 (c) 12 (d) 7
  17. 17.The mean of 7 numbers is 15. When the number 31 is added to them, what is the new mean? (a) 18 (b) 15 (c) 17 (d) 23
  18. 18.What is the mode of 18, 3, 15, 15, 5, 5 and 15? (a) 18 (b) 3 (c) 5 (d) 15
  19. 19.What is the median of 31, 24, 20, 13, 23, 28 and 40? (a) 28 (b) 13 (c) 24 (d) 23
  20. 20.What is the mode of 12, 12, 8, 6, 3, 12 and 6? (a) 12 (b) 8 (c) 6 (d) 3
  21. 21.The mean of 4 numbers is 16. When the number 36 is added to them, what is the new mean? (a) 26 (b) 16 (c) 21 (d) 20
  22. 22.What is the mode of 10, 16, 7, 10, 16, 16 and 20? (a) 10 (b) 7 (c) 16 (d) 20
  23. 23.What is the mode of 20, 7, 20, 7, 20, 4 and 5? (a) 4 (b) 5 (c) 7 (d) 20
  24. 24.What is the median of 7, 5, 31, 6, 19, 37 and 17? (a) 7 (b) 17 (c) 6 (d) 19
  25. 25.What is the mode of 12, 16, 14, 14, 14, 3 and 12? (a) 12 (b) 3 (c) 14 (d) 16
  26. 26.What is the mean of 3, 8, 7 and 2? (a) 7 (b) 6 (c) 5 (d) 4
  27. 27.The mean of 6 numbers is 13. When the number 41 is added to them, what is the new mean? (a) 18 (b) 17 (c) 27 (d) 13
  28. 28.What is the mean of 7, 14, 5 and 6? (a) 8 (b) 9 (c) 10 (d) 7
  29. 29.What is the mode of 15, 15, 9, 19, 9, 7 and 15? (a) 15 (b) 9 (c) 19 (d) 7
  30. 30.What is the median of 30, 33, 21, 14, 25, 2 and 37? (a) 14 (b) 30 (c) 21 (d) 25
  31. 31.What is the mean of 8, 15, 5 and 16? (a) 11 (b) 12 (c) 13 (d) 10
  32. 32.The mean of 7 numbers is 25. When the number 1 is added to them, what is the new mean? (a) 23 (b) 13 (c) 22 (d) 25
  33. 33.The mean of 3 numbers is 37. When the number 49 is added to them, what is the new mean? (a) 43 (b) 37 (c) 41 (d) 40
  34. 34.What is the median of 18, 2, 27, 12 and 29? (a) 19 (b) 12 (c) 18 (d) 27
  35. 35.The mean of 4 numbers is 25. When the number 35 is added to them, what is the new mean? (a) 27 (b) 25 (c) 28 (d) 30
  36. 36.What is the mode of 1, 1, 19, 19, 18, 1 and 6? (a) 6 (b) 18 (c) 1 (d) 19
  37. 37.What is the median of 2, 5, 27, 36, 25, 17 and 13? (a) 13 (b) 25 (c) 17 (d) 36
  38. 38.What is the median of 30, 8, 17, 16, 13, 22 and 11? (a) 17 (b) 13 (c) 15 (d) 16
  39. 39.What is the mean of 20, 9, 5 and 14? (a) 16 (b) 12 (c) 13 (d) 11
  40. 40.What is the mean of 20, 5, 14 and 17? (a) 15 (b) 14 (c) 13 (d) 16

Answer key

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

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