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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 491 · 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 36. When the number 12 is added to them, what is the new mean? (a) 32 (b) 36 (c) 33 (d) 24
  2. 2.What is the mean of 2, 19, 18 and 5? (a) 12 (b) 10 (c) 13 (d) 11
  3. 3.What is the mode of 13, 4, 8, 6, 6, 4 and 6? (a) 4 (b) 8 (c) 6 (d) 13
  4. 4.The mean of 7 numbers is 18. When the number 10 is added to them, what is the new mean? (a) 14 (b) 16 (c) 17 (d) 18
  5. 5.What is the median of 40, 15, 9, 25 and 19? (a) 15 (b) 9 (c) 19 (d) 25
  6. 6.What is the median of 6, 5, 32, 34, 14, 4 and 29? (a) 34 (b) 29 (c) 6 (d) 14
  7. 7.The mean of 8 numbers is 38. When the number 74 is added to them, what is the new mean? (a) 43 (b) 56 (c) 38 (d) 42
  8. 8.What is the median of 1, 31, 13, 27 and 26? (a) 13 (b) 26 (c) 27 (d) 25
  9. 9.What is the median of 2, 20, 35, 1, 13, 28 and 14? (a) 13 (b) 1 (c) 14 (d) 20
  10. 10.What is the mean of 10, 6, 19, 6, 6 and 13? (a) 12 (b) 9 (c) 11 (d) 10
  11. 11.What is the mode of 1, 1, 3, 8, 3, 3 and 18? (a) 8 (b) 18 (c) 1 (d) 3
  12. 12.What is the median of 8, 4, 17, 11, 27, 24 and 40? (a) 11 (b) 18 (c) 24 (d) 17
  13. 13.What is the mode of 15, 15, 15, 12, 12, 6 and 3? (a) 3 (b) 6 (c) 12 (d) 15
  14. 14.What is the mean of 19, 8, 16, 12 and 20? (a) 16 (b) 15 (c) 17 (d) 14
  15. 15.What is the mode of 7, 7, 1, 2, 1, 19 and 1? (a) 1 (b) 7 (c) 19 (d) 2
  16. 16.What is the median of 35, 2, 9, 13 and 34? (a) 9 (b) 34 (c) 13 (d) 14
  17. 17.What is the mean of 6, 12, 9, 14, 10 and 15? (a) 12 (b) 10 (c) 11 (d) 13
  18. 18.What is the mean of 15, 12, 17 and 12? (a) 16 (b) 14 (c) 15 (d) 13
  19. 19.What is the mean of 3, 8, 4 and 9? (a) 7 (b) 6 (c) 5 (d) 8
  20. 20.What is the median of 26, 29, 4, 37, 8, 2 and 6? (a) 8 (b) 16 (c) 37 (d) 26
  21. 21.The mean of 7 numbers is 15. When the number 31 is added to them, what is the new mean? (a) 23 (b) 18 (c) 17 (d) 15
  22. 22.What is the median of 29, 8, 16, 13, 6, 31 and 27? (a) 27 (b) 16 (c) 13 (d) 17
  23. 23.What is the mean of 9, 17, 18, 8 and 8? (a) 13 (b) 15 (c) 10 (d) 12
  24. 24.What is the mode of 6, 19, 2, 19, 12, 19 and 6? (a) 12 (b) 2 (c) 19 (d) 6
  25. 25.What is the mode of 1, 3, 1, 3, 5, 9 and 3? (a) 3 (b) 9 (c) 1 (d) 5
  26. 26.What is the mean of 2, 19, 19, 8, 16 and 20? (a) 12 (b) 15 (c) 13 (d) 14
  27. 27.What is the median of 24, 38, 36, 21, 19, 25 and 2? (a) 24 (b) 23 (c) 21 (d) 25
  28. 28.What is the mean of 17, 16, 4, 3, 14 and 6? (a) 10 (b) 9 (c) 11 (d) 12
  29. 29.The mean of 6 numbers is 14. When the number 7 is added to them, what is the new mean? (a) 12 (b) 15 (c) 14 (d) 13
  30. 30.What is the mode of 17, 2, 17, 11, 17, 6 and 6? (a) 2 (b) 17 (c) 11 (d) 6
  31. 31.The mean of 9 numbers is 16. When the number 26 is added to them, what is the new mean? (a) 16 (b) 21 (c) 17 (d) 18
  32. 32.The mean of 3 numbers is 39. When the number 43 is added to them, what is the new mean? (a) 42 (b) 39 (c) 41 (d) 40
  33. 33.The mean of 8 numbers is 19. When the number 37 is added to them, what is the new mean? (a) 28 (b) 22 (c) 21 (d) 19
  34. 34.What is the mode of 1, 8, 1, 9, 1, 9 and 5? (a) 9 (b) 8 (c) 5 (d) 1
  35. 35.What is the mode of 2, 15, 14, 14, 2, 17 and 14? (a) 2 (b) 17 (c) 15 (d) 14
  36. 36.What is the mean of 12, 12, 20, 19, 11 and 22? (a) 18 (b) 16 (c) 17 (d) 15
  37. 37.What is the mean of 7, 6, 14 and 9? (a) 12 (b) 8 (c) 10 (d) 9
  38. 38.What is the median of 10, 29, 40, 35, 13, 23 and 27? (a) 35 (b) 23 (c) 29 (d) 27
  39. 39.What is the mean of 13, 18, 16, 5 and 13? (a) 15 (b) 13 (c) 14 (d) 12
  40. 40.The mean of 5 numbers is 29. When the number 35 is added to them, what is the new mean? (a) 29 (b) 31 (c) 30 (d) 32

Answer key

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

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