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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 209 · 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 mean of 7, 15, 20 and 10? (a) 12 (b) 13 (c) 15 (d) 14
  2. 2.What is the mean of 7, 10, 13, 6 and 9? (a) 8 (b) 11 (c) 10 (d) 9
  3. 3.The mean of 5 numbers is 17. When the number 11 is added to them, what is the new mean? (a) 16 (b) 17 (c) 15 (d) 14
  4. 4.The mean of 7 numbers is 19. When the number 51 is added to them, what is the new mean? (a) 19 (b) 23 (c) 35 (d) 24
  5. 5.What is the mean of 18, 19, 13 and 18? (a) 19 (b) 18 (c) 17 (d) 16
  6. 6.What is the mode of 6, 6, 16, 6, 16, 18 and 10? (a) 10 (b) 18 (c) 6 (d) 16
  7. 7.What is the median of 6, 17, 28, 11 and 21? (a) 11 (b) 17 (c) 28 (d) 21
  8. 8.What is the median of 2, 37, 28, 10 and 6? (a) 6 (b) 10 (c) 28 (d) 11
  9. 9.What is the mean of 15, 13, 6, 8 and 8? (a) 12 (b) 9 (c) 11 (d) 10
  10. 10.The mean of 5 numbers is 40. When the number 28 is added to them, what is the new mean? (a) 34 (b) 40 (c) 38 (d) 39
  11. 11.What is the mean of 10, 19, 15, 20 and 16? (a) 16 (b) 17 (c) 20 (d) 15
  12. 12.What is the mean of 4, 7, 13 and 8? (a) 10 (b) 7 (c) 9 (d) 8
  13. 13.What is the median of 1, 13, 32, 14, 40, 27 and 2? (a) 14 (b) 13 (c) 15 (d) 27
  14. 14.What is the mode of 16, 2, 5, 6, 5, 6 and 6? (a) 2 (b) 5 (c) 16 (d) 6
  15. 15.What is the median of 23, 36, 5, 10, 1, 15 and 40? (a) 10 (b) 23 (c) 16 (d) 15
  16. 16.What is the mode of 9, 2, 18, 2, 9, 11 and 2? (a) 11 (b) 9 (c) 2 (d) 18
  17. 17.What is the mean of 20, 14, 8, 11 and 7? (a) 13 (b) 15 (c) 12 (d) 10
  18. 18.What is the mode of 16, 8, 5, 5, 5, 16 and 17? (a) 16 (b) 17 (c) 5 (d) 8
  19. 19.What is the mean of 4, 15, 7 and 10? (a) 9 (b) 10 (c) 8 (d) 12
  20. 20.What is the median of 10, 11, 9, 2 and 5? (a) 8 (b) 10 (c) 5 (d) 9
  21. 21.What is the mean of 15, 20, 4, 18 and 18? (a) 16 (b) 14 (c) 15 (d) 17
  22. 22.The mean of 9 numbers is 23. When the number 33 is added to them, what is the new mean? (a) 24 (b) 23 (c) 28 (d) 25
  23. 23.The mean of 6 numbers is 39. When the number 11 is added to them, what is the new mean? (a) 25 (b) 39 (c) 35 (d) 36
  24. 24.The mean of 3 numbers is 34. When the number 50 is added to them, what is the new mean? (a) 38 (b) 34 (c) 39 (d) 42
  25. 25.What is the mean of 13, 19, 10, 4, 2 and 12? (a) 12 (b) 10 (c) 11 (d) 9
  26. 26.What is the mode of 3, 9, 1, 3, 1, 16 and 3? (a) 3 (b) 1 (c) 9 (d) 16
  27. 27.The mean of 5 numbers is 16. When the number 22 is added to them, what is the new mean? (a) 18 (b) 19 (c) 17 (d) 16
  28. 28.What is the median of 33, 2, 8, 18, 34, 26 and 10? (a) 19 (b) 10 (c) 18 (d) 26
  29. 29.What is the mean of 10, 17, 20 and 13? (a) 15 (b) 20 (c) 16 (d) 12
  30. 30.What is the mean of 9, 9, 5, 19 and 13? (a) 11 (b) 10 (c) 12 (d) 13
  31. 31.The mean of 5 numbers is 14. When the number 32 is added to them, what is the new mean? (a) 18 (b) 14 (c) 23 (d) 17
  32. 32.The mean of 3 numbers is 25. When the number 33 is added to them, what is the new mean? (a) 28 (b) 27 (c) 29 (d) 25
  33. 33.What is the median of 32, 17, 5, 1 and 19? (a) 19 (b) 17 (c) 18 (d) 5
  34. 34.What is the mean of 18, 2, 3 and 17? (a) 9 (b) 10 (c) 8 (d) 11
  35. 35.What is the median of 9, 25, 11, 17 and 27? (a) 25 (b) 11 (c) 17 (d) 18
  36. 36.What is the mean of 2, 5, 15, 13 and 5? (a) 10 (b) 8 (c) 9 (d) 7
  37. 37.What is the mode of 6, 2, 2, 6, 1, 6 and 19? (a) 1 (b) 19 (c) 6 (d) 2
  38. 38.What is the median of 34, 20, 10, 37 and 12? (a) 20 (b) 10 (c) 12 (d) 34
  39. 39.What is the mean of 10, 5, 19, 16, 11 and 17? (a) 13 (b) 15 (c) 14 (d) 12
  40. 40.What is the mean of 8, 15, 10, 10, 19 and 22? (a) 13 (b) 14 (c) 15 (d) 12

Answer key

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

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