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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 770 · 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 39, 1, 3, 22, 29, 23 and 5? (a) 5 (b) 22 (c) 23 (d) 21
  2. 2.What is the mean of 7, 5, 6, 13 and 4? (a) 9 (b) 7 (c) 6 (d) 8
  3. 3.What is the mode of 5, 5, 18, 8, 8, 5 and 14? (a) 8 (b) 18 (c) 14 (d) 5
  4. 4.The mean of 4 numbers is 40. When the number 45 is added to them, what is the new mean? (a) 41 (b) 40 (c) 42 (d) 43
  5. 5.What is the median of 15, 4, 7, 14 and 36? (a) 13 (b) 14 (c) 7 (d) 15
  6. 6.What is the mean of 9, 11, 9 and 7? (a) 9 (b) 8 (c) 12 (d) 10
  7. 7.What is the mean of 11, 8, 9, 15, 16 and 19? (a) 13 (b) 15 (c) 12 (d) 14
  8. 8.What is the mean of 10, 11, 6, 7 and 6? (a) 9 (b) 8 (c) 10 (d) 7
  9. 9.What is the median of 28, 39, 13, 25, 40, 10 and 17? (a) 17 (b) 28 (c) 25 (d) 26
  10. 10.What is the mean of 19, 19, 20, 12 and 10? (a) 16 (b) 15 (c) 17 (d) 20
  11. 11.What is the median of 36, 16, 1, 40, 8, 14 and 26? (a) 16 (b) 14 (c) 26 (d) 40
  12. 12.What is the median of 6, 35, 19, 9, 40, 2 and 4? (a) 19 (b) 6 (c) 9 (d) 10
  13. 13.What is the mean of 9, 5, 15, 10, 9 and 12? (a) 9 (b) 12 (c) 10 (d) 11
  14. 14.What is the mode of 7, 17, 17, 5, 3, 17 and 3? (a) 3 (b) 17 (c) 5 (d) 7
  15. 15.What is the median of 2, 33, 24, 32 and 23? (a) 24 (b) 25 (c) 32 (d) 23
  16. 16.What is the mean of 8, 18, 14, 4, 9 and 13? (a) 13 (b) 12 (c) 11 (d) 10
  17. 17.What is the mean of 17, 17, 4 and 6? (a) 12 (b) 11 (c) 13 (d) 10
  18. 18.What is the median of 30, 9, 39, 34, 35, 4 and 40? (a) 35 (b) 30 (c) 33 (d) 34
  19. 19.What is the median of 36, 37, 40, 2 and 10? (a) 40 (b) 36 (c) 25 (d) 37
  20. 20.What is the mode of 12, 15, 14, 12, 12, 1 and 1? (a) 1 (b) 14 (c) 12 (d) 15
  21. 21.What is the mode of 2, 13, 4, 16, 13, 13 and 4? (a) 2 (b) 16 (c) 13 (d) 4
  22. 22.The mean of 8 numbers is 13. When the number 4 is added to them, what is the new mean? (a) 12 (b) 13 (c) 11 (d) 14
  23. 23.The mean of 3 numbers is 21. When the number 33 is added to them, what is the new mean? (a) 25 (b) 24 (c) 21 (d) 27
  24. 24.What is the mean of 8, 17, 8 and 11? (a) 11 (b) 12 (c) 13 (d) 10
  25. 25.The mean of 6 numbers is 27. When the number 20 is added to them, what is the new mean? (a) 25 (b) 27 (c) 26 (d) 28
  26. 26.The mean of 5 numbers is 17. When the number 11 is added to them, what is the new mean? (a) 15 (b) 16 (c) 14 (d) 17
  27. 27.What is the mode of 6, 1, 7, 6, 7, 16 and 6? (a) 16 (b) 1 (c) 6 (d) 7
  28. 28.What is the mode of 5, 13, 5, 9, 13, 6 and 5? (a) 9 (b) 6 (c) 13 (d) 5
  29. 29.What is the mode of 19, 2, 6, 6, 6, 4 and 19? (a) 2 (b) 6 (c) 19 (d) 4
  30. 30.What is the mode of 4, 3, 7, 2, 3, 3 and 7? (a) 3 (b) 4 (c) 7 (d) 2
  31. 31.What is the median of 39, 20, 26, 9, 24, 23 and 33? (a) 26 (b) 23 (c) 24 (d) 9
  32. 32.What is the mode of 5, 14, 5, 3, 5, 14 and 19? (a) 19 (b) 14 (c) 3 (d) 5
  33. 33.What is the median of 3, 39, 11, 21 and 15? (a) 15 (b) 11 (c) 21 (d) 16
  34. 34.What is the mode of 1, 2, 6, 13, 2, 13 and 2? (a) 13 (b) 2 (c) 1 (d) 6
  35. 35.What is the mean of 19, 7, 4, 4 and 11? (a) 10 (b) 8 (c) 11 (d) 9
  36. 36.What is the mean of 16, 5, 14 and 17? (a) 14 (b) 15 (c) 12 (d) 13
  37. 37.The mean of 7 numbers is 26. When the number 42 is added to them, what is the new mean? (a) 26 (b) 34 (c) 29 (d) 28
  38. 38.What is the mean of 7, 12, 7, 13 and 16? (a) 13 (b) 12 (c) 10 (d) 11
  39. 39.What is the mean of 20, 3, 9 and 16? (a) 16 (b) 13 (c) 11 (d) 12
  40. 40.The mean of 6 numbers is 26. When the number 54 is added to them, what is the new mean? (a) 30 (b) 31 (c) 26 (d) 40

Answer key

  1. 22
  2. 7
  3. 5
  4. 41
  5. 14
  6. 9
  7. 13
  8. 8
  9. 25
  10. 16
  11. 16
  12. 9
  13. 10
  14. 17
  15. 24
  16. 11
  17. 11
  18. 34
  19. 36
  20. 12
  21. 13
  22. 12
  23. 24
  24. 11
  25. 26
  26. 16
  27. 6
  28. 5
  29. 6
  30. 3
  31. 24
  32. 5
  33. 15
  34. 2
  35. 9
  36. 13
  37. 28
  38. 11
  39. 12
  40. 30

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