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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 274 · 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.What is the median of 31, 12, 33, 5, 6, 10 and 4? (a) 5 (b) 6 (c) 10 (d) 12
  2. 2.What is the mean of 18, 14, 8, 5 and 10? (a) 11 (b) 12 (c) 10 (d) 13
  3. 3.What is the mean of 3, 2, 11, 7, 7 and 18? (a) 7 (b) 8 (c) 10 (d) 9
  4. 4.The mean of 4 numbers is 21. When the number 26 is added to them, what is the new mean? (a) 21 (b) 22 (c) 23 (d) 24
  5. 5.What is the median of 2, 29, 24, 15, 20, 7 and 9? (a) 9 (b) 15 (c) 20 (d) 16
  6. 6.What is the mean of 9, 13, 20, 3 and 15? (a) 13 (b) 10 (c) 12 (d) 15
  7. 7.What is the mean of 15, 5, 18, 11, 6 and 23? (a) 13 (b) 14 (c) 15 (d) 12
  8. 8.What is the median of 7, 4, 8, 1 and 40? (a) 4 (b) 12 (c) 7 (d) 8
  9. 9.What is the mean of 18, 7, 10 and 17? (a) 14 (b) 13 (c) 12 (d) 15
  10. 10.What is the median of 18, 25, 23, 4, 7, 21 and 1? (a) 7 (b) 18 (c) 4 (d) 21
  11. 11.What is the mean of 19, 11, 7, 3 and 10? (a) 11 (b) 9 (c) 12 (d) 10
  12. 12.The mean of 7 numbers is 36. When the number 44 is added to them, what is the new mean? (a) 37 (b) 38 (c) 36 (d) 40
  13. 13.What is the mean of 18, 5, 5, 14, 7 and 11? (a) 12 (b) 9 (c) 10 (d) 11
  14. 14.The mean of 3 numbers is 23. When the number 35 is added to them, what is the new mean? (a) 27 (b) 26 (c) 23 (d) 29
  15. 15.The mean of 4 numbers is 34. When the number 39 is added to them, what is the new mean? (a) 36 (b) 34 (c) 35 (d) 37
  16. 16.What is the mean of 9, 17, 20, 2, 13 and 5? (a) 13 (b) 10 (c) 12 (d) 11
  17. 17.The mean of 6 numbers is 26. When the number 33 is added to them, what is the new mean? (a) 29 (b) 26 (c) 27 (d) 28
  18. 18.What is the mode of 13, 3, 12, 13, 20, 3 and 3? (a) 13 (b) 12 (c) 20 (d) 3
  19. 19.What is the median of 30, 34, 12, 9, 4, 27 and 21? (a) 27 (b) 12 (c) 9 (d) 21
  20. 20.The mean of 4 numbers is 27. When the number 12 is added to them, what is the new mean? (a) 25 (b) 23 (c) 27 (d) 24
  21. 21.The mean of 8 numbers is 33. When the number 42 is added to them, what is the new mean? (a) 36 (b) 34 (c) 35 (d) 33
  22. 22.The mean of 5 numbers is 14. When the number 26 is added to them, what is the new mean? (a) 20 (b) 17 (c) 14 (d) 16
  23. 23.What is the mean of 20, 17, 16, 12 and 10? (a) 17 (b) 15 (c) 14 (d) 16
  24. 24.What is the mode of 9, 14, 15, 14, 14, 9 and 19? (a) 9 (b) 14 (c) 19 (d) 15
  25. 25.What is the median of 39, 4, 8, 26 and 6? (a) 9 (b) 26 (c) 6 (d) 8
  26. 26.What is the mean of 12, 8, 4, 20 and 21? (a) 14 (b) 13 (c) 12 (d) 15
  27. 27.What is the mode of 14, 13, 19, 19, 13, 13 and 6? (a) 6 (b) 19 (c) 14 (d) 13
  28. 28.What is the median of 11, 5, 29, 25 and 37? (a) 26 (b) 11 (c) 29 (d) 25
  29. 29.What is the mean of 4, 14, 6 and 4? (a) 9 (b) 6 (c) 8 (d) 7
  30. 30.The mean of 6 numbers is 28. When the number 14 is added to them, what is the new mean? (a) 21 (b) 27 (c) 26 (d) 28
  31. 31.The mean of 4 numbers is 14. When the number 9 is added to them, what is the new mean? (a) 13 (b) 12 (c) 14 (d) 15
  32. 32.The mean of 5 numbers is 24. When the number 42 is added to them, what is the new mean? (a) 24 (b) 28 (c) 33 (d) 27
  33. 33.The mean of 3 numbers is 19. When the number 15 is added to them, what is the new mean? (a) 17 (b) 19 (c) 20 (d) 18
  34. 34.What is the mean of 5, 7, 18 and 6? (a) 9 (b) 8 (c) 12 (d) 10
  35. 35.What is the mode of 18, 12, 18, 15, 15, 10 and 18? (a) 15 (b) 10 (c) 12 (d) 18
  36. 36.The mean of 9 numbers is 24. When the number 54 is added to them, what is the new mean? (a) 28 (b) 24 (c) 39 (d) 27
  37. 37.What is the mode of 4, 16, 13, 13, 4, 18 and 13? (a) 4 (b) 18 (c) 16 (d) 13
  38. 38.What is the median of 10, 6, 23, 35, 1, 38 and 27? (a) 27 (b) 20 (c) 35 (d) 23
  39. 39.What is the mode of 18, 10, 2, 18, 10, 18 and 12? (a) 12 (b) 2 (c) 18 (d) 10
  40. 40.What is the mean of 11, 14, 14, 17 and 14? (a) 13 (b) 15 (c) 16 (d) 14

Answer key

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

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