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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 347 · 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 9 numbers is 29. When the number 9 is added to them, what is the new mean? (a) 19 (b) 29 (c) 28 (d) 27
  2. 2.What is the mode of 15, 3, 11, 8, 3, 3 and 8? (a) 11 (b) 15 (c) 8 (d) 3
  3. 3.What is the mode of 2, 17, 2, 2, 10, 17 and 20? (a) 17 (b) 2 (c) 10 (d) 20
  4. 4.What is the mode of 1, 5, 4, 20, 4, 4 and 20? (a) 1 (b) 20 (c) 5 (d) 4
  5. 5.What is the median of 15, 14, 3, 35 and 32? (a) 14 (b) 3 (c) 15 (d) 32
  6. 6.What is the mean of 4, 3, 5 and 16? (a) 9 (b) 7 (c) 8 (d) 6
  7. 7.What is the mean of 3, 4, 8, 3, 12 and 12? (a) 9 (b) 7 (c) 8 (d) 6
  8. 8.What is the mean of 20, 8, 11 and 5? (a) 12 (b) 13 (c) 11 (d) 10
  9. 9.What is the mode of 5, 1, 1, 4, 4, 18 and 4? (a) 18 (b) 4 (c) 5 (d) 1
  10. 10.The mean of 3 numbers is 14. When the number 10 is added to them, what is the new mean? (a) 14 (b) 13 (c) 12 (d) 15
  11. 11.What is the mean of 8, 5, 5, 16, 13 and 7? (a) 11 (b) 9 (c) 10 (d) 8
  12. 12.What is the median of 8, 33, 36, 1 and 18? (a) 33 (b) 36 (c) 8 (d) 18
  13. 13.The mean of 3 numbers is 15. When the number 31 is added to them, what is the new mean? (a) 23 (b) 15 (c) 20 (d) 19
  14. 14.What is the median of 33, 12, 23, 32, 8, 14 and 21? (a) 23 (b) 32 (c) 21 (d) 14
  15. 15.What is the mode of 14, 3, 13, 3, 4, 13 and 3? (a) 14 (b) 4 (c) 3 (d) 13
  16. 16.What is the mode of 7, 1, 7, 9, 1, 20 and 1? (a) 9 (b) 1 (c) 7 (d) 20
  17. 17.What is the mode of 11, 3, 19, 17, 11, 11 and 17? (a) 17 (b) 11 (c) 19 (d) 3
  18. 18.What is the mode of 8, 14, 15, 14, 7, 7 and 7? (a) 7 (b) 14 (c) 8 (d) 15
  19. 19.What is the mode of 4, 14, 4, 4, 14, 8 and 2? (a) 14 (b) 2 (c) 8 (d) 4
  20. 20.The mean of 6 numbers is 35. When the number 28 is added to them, what is the new mean? (a) 35 (b) 34 (c) 36 (d) 33
  21. 21.The mean of 3 numbers is 38. When the number 42 is added to them, what is the new mean? (a) 38 (b) 39 (c) 40 (d) 41
  22. 22.What is the mode of 3, 3, 7, 15, 16, 16 and 16? (a) 7 (b) 15 (c) 16 (d) 3
  23. 23.What is the median of 29, 26, 8, 25 and 19? (a) 19 (b) 25 (c) 26 (d) 8
  24. 24.What is the median of 3, 34, 5, 29, 17, 18 and 2? (a) 5 (b) 29 (c) 18 (d) 17
  25. 25.The mean of 6 numbers is 11. When the number 25 is added to them, what is the new mean? (a) 11 (b) 18 (c) 13 (d) 14
  26. 26.What is the median of 1, 30, 13, 23, 2, 4 and 24? (a) 14 (b) 13 (c) 4 (d) 23
  27. 27.The mean of 3 numbers is 23. When the number 11 is added to them, what is the new mean? (a) 17 (b) 20 (c) 23 (d) 21
  28. 28.The mean of 7 numbers is 39. When the number 23 is added to them, what is the new mean? (a) 37 (b) 39 (c) 38 (d) 31
  29. 29.What is the mean of 16, 11, 10, 14, 9 and 6? (a) 10 (b) 13 (c) 12 (d) 11
  30. 30.What is the mean of 5, 4, 2, 19, 8 and 10? (a) 8 (b) 9 (c) 10 (d) 7
  31. 31.What is the mean of 20, 11, 16 and 13? (a) 16 (b) 20 (c) 12 (d) 15
  32. 32.What is the mean of 13, 12, 7, 3 and 15? (a) 9 (b) 11 (c) 12 (d) 10
  33. 33.What is the mode of 8, 12, 12, 18, 17, 12 and 17? (a) 12 (b) 8 (c) 17 (d) 18
  34. 34.What is the median of 10, 8, 5, 36 and 27? (a) 8 (b) 5 (c) 10 (d) 27
  35. 35.What is the median of 1, 6, 30, 27, 13, 21 and 3? (a) 27 (b) 13 (c) 21 (d) 6
  36. 36.The mean of 6 numbers is 38. When the number 52 is added to them, what is the new mean? (a) 40 (b) 38 (c) 45 (d) 41
  37. 37.What is the mode of 4, 18, 13, 18, 13, 1 and 13? (a) 1 (b) 4 (c) 13 (d) 18
  38. 38.What is the mean of 14, 6, 11 and 5? (a) 12 (b) 9 (c) 8 (d) 10
  39. 39.What is the mean of 6, 16, 4 and 6? (a) 7 (b) 10 (c) 8 (d) 9
  40. 40.What is the mean of 9, 19, 5 and 15? (a) 11 (b) 13 (c) 12 (d) 16

Answer key

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

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