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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 51 · 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 29. When the number 5 is added to them, what is the new mean? (a) 26 (b) 17 (c) 29 (d) 25
  2. 2.What is the mean of 8, 9, 8, 11 and 14? (a) 10 (b) 9 (c) 11 (d) 12
  3. 3.The mean of 3 numbers is 31. When the number 15 is added to them, what is the new mean? (a) 23 (b) 27 (c) 31 (d) 28
  4. 4.What is the mode of 17, 9, 14, 9, 9, 17 and 15? (a) 15 (b) 14 (c) 17 (d) 9
  5. 5.The mean of 4 numbers is 13. When the number 23 is added to them, what is the new mean? (a) 15 (b) 16 (c) 18 (d) 13
  6. 6.The mean of 3 numbers is 38. When the number 54 is added to them, what is the new mean? (a) 42 (b) 38 (c) 46 (d) 43
  7. 7.What is the median of 11, 35, 23, 34, 21, 15 and 38? (a) 24 (b) 21 (c) 34 (d) 23
  8. 8.What is the median of 32, 20, 38, 28 and 18? (a) 38 (b) 28 (c) 32 (d) 20
  9. 9.What is the mode of 11, 10, 1, 5, 11, 5 and 5? (a) 11 (b) 5 (c) 1 (d) 10
  10. 10.The mean of 3 numbers is 22. When the number 34 is added to them, what is the new mean? (a) 28 (b) 22 (c) 26 (d) 25
  11. 11.What is the median of 16, 23, 12, 28 and 11? (a) 12 (b) 18 (c) 23 (d) 16
  12. 12.What is the mean of 11, 10, 11, 8 and 10? (a) 9 (b) 11 (c) 10 (d) 12
  13. 13.The mean of 5 numbers is 20. When the number 44 is added to them, what is the new mean? (a) 25 (b) 20 (c) 24 (d) 32
  14. 14.What is the median of 35, 29, 7, 6 and 17? (a) 7 (b) 29 (c) 18 (d) 17
  15. 15.What is the mode of 4, 3, 13, 4, 9, 3 and 4? (a) 9 (b) 4 (c) 13 (d) 3
  16. 16.What is the median of 10, 3, 4, 22, 20, 18 and 37? (a) 20 (b) 18 (c) 10 (d) 22
  17. 17.What is the mode of 13, 4, 6, 3, 6, 6 and 4? (a) 13 (b) 4 (c) 6 (d) 3
  18. 18.What is the median of 39, 26, 37, 10 and 36? (a) 26 (b) 36 (c) 35 (d) 37
  19. 19.The mean of 6 numbers is 40. When the number 61 is added to them, what is the new mean? (a) 42 (b) 43 (c) 40 (d) 44
  20. 20.What is the mode of 6, 2, 1, 1, 16, 2 and 1? (a) 6 (b) 1 (c) 2 (d) 16
  21. 21.What is the mean of 2, 17, 14 and 15? (a) 13 (b) 12 (c) 11 (d) 16
  22. 22.What is the mean of 16, 2, 5 and 17? (a) 9 (b) 11 (c) 8 (d) 10
  23. 23.What is the mean of 10, 16, 7, 11 and 21? (a) 12 (b) 13 (c) 15 (d) 14
  24. 24.What is the mean of 18, 19, 4 and 19? (a) 20 (b) 15 (c) 12 (d) 16
  25. 25.What is the mode of 8, 6, 1, 8, 6, 3 and 8? (a) 3 (b) 1 (c) 6 (d) 8
  26. 26.What is the mode of 17, 15, 17, 17, 13, 13 and 9? (a) 15 (b) 13 (c) 9 (d) 17
  27. 27.What is the median of 25, 20, 12, 7 and 33? (a) 21 (b) 20 (c) 12 (d) 25
  28. 28.What is the mode of 16, 20, 16, 5, 20, 17 and 20? (a) 16 (b) 5 (c) 20 (d) 17
  29. 29.What is the mean of 14, 13, 3, 3 and 7? (a) 9 (b) 7 (c) 10 (d) 8
  30. 30.What is the median of 14, 26, 39, 17, 2, 5 and 30? (a) 14 (b) 17 (c) 26 (d) 19
  31. 31.What is the median of 37, 13, 14, 17 and 29? (a) 17 (b) 14 (c) 22 (d) 29
  32. 32.What is the mean of 6, 2, 8, 11 and 18? (a) 8 (b) 10 (c) 11 (d) 9
  33. 33.What is the median of 33, 2, 9, 24 and 34? (a) 9 (b) 24 (c) 33 (d) 25
  34. 34.What is the mode of 3, 12, 3, 14, 2, 14 and 14? (a) 14 (b) 3 (c) 2 (d) 12
  35. 35.The mean of 8 numbers is 40. When the number 49 is added to them, what is the new mean? (a) 43 (b) 42 (c) 41 (d) 40
  36. 36.What is the mean of 17, 13, 8 and 18? (a) 15 (b) 13 (c) 16 (d) 14
  37. 37.The mean of 8 numbers is 39. When the number 12 is added to them, what is the new mean? (a) 39 (b) 35 (c) 36 (d) 37
  38. 38.What is the mean of 20, 10, 5 and 9? (a) 13 (b) 10 (c) 11 (d) 12
  39. 39.The mean of 4 numbers is 31. When the number 16 is added to them, what is the new mean? (a) 31 (b) 27 (c) 29 (d) 28
  40. 40.The mean of 8 numbers is 35. When the number 8 is added to them, what is the new mean? (a) 33 (b) 32 (c) 31 (d) 35

Answer key

  1. 25
  2. 10
  3. 27
  4. 9
  5. 15
  6. 42
  7. 23
  8. 28
  9. 5
  10. 25
  11. 16
  12. 10
  13. 24
  14. 17
  15. 4
  16. 18
  17. 6
  18. 36
  19. 43
  20. 1
  21. 12
  22. 10
  23. 13
  24. 15
  25. 8
  26. 17
  27. 20
  28. 20
  29. 8
  30. 17
  31. 17
  32. 9
  33. 24
  34. 14
  35. 41
  36. 14
  37. 36
  38. 11
  39. 28
  40. 32

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