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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 797 · 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 5 numbers is 32. When the number 8 is added to them, what is the new mean? (a) 29 (b) 28 (c) 20 (d) 32
  2. 2.The mean of 3 numbers is 21. When the number 5 is added to them, what is the new mean? (a) 18 (b) 21 (c) 17 (d) 13
  3. 3.What is the median of 1, 8, 5, 39 and 28? (a) 5 (b) 9 (c) 28 (d) 8
  4. 4.What is the median of 35, 9, 12, 39, 32, 29 and 7? (a) 32 (b) 39 (c) 12 (d) 29
  5. 5.What is the mean of 5, 3, 14, 7 and 11? (a) 7 (b) 8 (c) 9 (d) 10
  6. 6.What is the mean of 3, 15, 19 and 11? (a) 13 (b) 16 (c) 12 (d) 11
  7. 7.What is the mean of 13, 18, 16, 6, 13 and 12? (a) 13 (b) 12 (c) 14 (d) 15
  8. 8.The mean of 9 numbers is 10. When the number 50 is added to them, what is the new mean? (a) 15 (b) 10 (c) 30 (d) 14
  9. 9.The mean of 8 numbers is 26. When the number 62 is added to them, what is the new mean? (a) 44 (b) 30 (c) 26 (d) 31
  10. 10.The mean of 8 numbers is 27. When the number 18 is added to them, what is the new mean? (a) 25 (b) 28 (c) 26 (d) 27
  11. 11.What is the mode of 17, 5, 2, 17, 5, 1 and 17? (a) 5 (b) 17 (c) 2 (d) 1
  12. 12.What is the median of 30, 2, 39, 23, 6, 40 and 34? (a) 31 (b) 34 (c) 23 (d) 30
  13. 13.What is the median of 37, 5, 30, 34, 1, 17 and 11? (a) 17 (b) 11 (c) 34 (d) 30
  14. 14.The mean of 4 numbers is 24. When the number 4 is added to them, what is the new mean? (a) 14 (b) 20 (c) 24 (d) 21
  15. 15.The mean of 3 numbers is 33. When the number 49 is added to them, what is the new mean? (a) 38 (b) 37 (c) 33 (d) 41
  16. 16.The mean of 6 numbers is 20. When the number 27 is added to them, what is the new mean? (a) 22 (b) 20 (c) 21 (d) 23
  17. 17.What is the median of 40, 2, 11, 27 and 38? (a) 27 (b) 38 (c) 28 (d) 11
  18. 18.What is the mean of 14, 4, 9, 6, 20 and 7? (a) 10 (b) 12 (c) 9 (d) 11
  19. 19.The mean of 4 numbers is 10. When the number 5 is added to them, what is the new mean? (a) 10 (b) 8 (c) 9 (d) 11
  20. 20.What is the mode of 4, 4, 9, 20, 2, 20 and 20? (a) 4 (b) 9 (c) 20 (d) 2
  21. 21.What is the mean of 4, 14, 6, 4, 4 and 16? (a) 10 (b) 9 (c) 7 (d) 8
  22. 22.What is the mean of 18, 11, 6 and 21? (a) 15 (b) 13 (c) 14 (d) 16
  23. 23.What is the mode of 2, 5, 6, 5, 2, 5 and 17? (a) 5 (b) 2 (c) 6 (d) 17
  24. 24.The mean of 9 numbers is 27. When the number 7 is added to them, what is the new mean? (a) 27 (b) 25 (c) 17 (d) 26
  25. 25.What is the median of 12, 5, 19, 8 and 6? (a) 8 (b) 19 (c) 12 (d) 10
  26. 26.What is the median of 15, 11, 37, 9 and 17? (a) 17 (b) 11 (c) 15 (d) 37
  27. 27.What is the mode of 12, 11, 4, 11, 3, 11 and 3? (a) 12 (b) 4 (c) 11 (d) 3
  28. 28.What is the median of 8, 21, 4, 5, 34, 11 and 19? (a) 5 (b) 11 (c) 19 (d) 8
  29. 29.What is the mean of 15, 20, 18, 11, 19 and 7? (a) 14 (b) 15 (c) 16 (d) 18
  30. 30.What is the mean of 4, 2, 9 and 21? (a) 9 (b) 8 (c) 10 (d) 12
  31. 31.What is the mean of 19, 4, 17 and 12? (a) 15 (b) 14 (c) 12 (d) 13
  32. 32.What is the mode of 13, 15, 18, 13, 15, 15 and 7? (a) 13 (b) 15 (c) 18 (d) 7
  33. 33.What is the mode of 20, 6, 7, 6, 16, 16 and 16? (a) 6 (b) 7 (c) 16 (d) 20
  34. 34.What is the mean of 19, 15, 5, 4 and 17? (a) 15 (b) 13 (c) 12 (d) 10
  35. 35.What is the mean of 14, 16, 19 and 19? (a) 18 (b) 19 (c) 16 (d) 17
  36. 36.What is the mode of 7, 7, 7, 4, 13, 9 and 4? (a) 13 (b) 4 (c) 9 (d) 7
  37. 37.What is the median of 37, 34, 36, 14 and 2? (a) 14 (b) 35 (c) 36 (d) 34
  38. 38.What is the median of 16, 38, 40, 10 and 8? (a) 10 (b) 16 (c) 38 (d) 40
  39. 39.The mean of 7 numbers is 13. When the number 45 is added to them, what is the new mean? (a) 13 (b) 29 (c) 17 (d) 18
  40. 40.What is the mean of 5, 12, 12, 13 and 13? (a) 12 (b) 10 (c) 11 (d) 13

Answer key

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

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