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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 25 · 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 mode of 6, 5, 5, 9, 9, 8 and 5? (a) 8 (b) 9 (c) 6 (d) 5
  2. 2.What is the mode of 14, 10, 17, 14, 17, 14 and 2? (a) 2 (b) 17 (c) 14 (d) 10
  3. 3.The mean of 3 numbers is 14. When the number 6 is added to them, what is the new mean? (a) 14 (b) 10 (c) 13 (d) 12
  4. 4.The mean of 4 numbers is 40. When the number 55 is added to them, what is the new mean? (a) 43 (b) 44 (c) 42 (d) 40
  5. 5.What is the mode of 9, 8, 8, 8, 1, 1 and 2? (a) 8 (b) 2 (c) 9 (d) 1
  6. 6.The mean of 5 numbers is 12. When the number 36 is added to them, what is the new mean? (a) 24 (b) 17 (c) 16 (d) 12
  7. 7.What is the mode of 12, 2, 2, 11, 12, 7 and 2? (a) 12 (b) 7 (c) 2 (d) 11
  8. 8.What is the median of 10, 3, 20, 12, 14, 31 and 17? (a) 12 (b) 17 (c) 14 (d) 15
  9. 9.What is the mode of 4, 10, 4, 7, 4, 18 and 10? (a) 7 (b) 18 (c) 4 (d) 10
  10. 10.What is the mode of 5, 8, 20, 14, 8, 14 and 8? (a) 20 (b) 14 (c) 5 (d) 8
  11. 11.What is the mode of 4, 2, 3, 3, 2, 7 and 3? (a) 4 (b) 3 (c) 2 (d) 7
  12. 12.What is the mean of 20, 4, 19 and 13? (a) 13 (b) 14 (c) 15 (d) 16
  13. 13.What is the mode of 8, 8, 15, 4, 4, 8 and 14? (a) 4 (b) 14 (c) 15 (d) 8
  14. 14.The mean of 8 numbers is 24. When the number 15 is added to them, what is the new mean? (a) 25 (b) 22 (c) 23 (d) 24
  15. 15.What is the mean of 8, 10, 17 and 17? (a) 14 (b) 15 (c) 12 (d) 13
  16. 16.The mean of 4 numbers is 31. When the number 36 is added to them, what is the new mean? (a) 33 (b) 31 (c) 34 (d) 32
  17. 17.What is the median of 11, 5, 9, 40 and 17? (a) 12 (b) 11 (c) 17 (d) 9
  18. 18.The mean of 8 numbers is 22. When the number 58 is added to them, what is the new mean? (a) 22 (b) 26 (c) 40 (d) 27
  19. 19.What is the median of 34, 15, 29, 21, 38, 9 and 5? (a) 29 (b) 15 (c) 22 (d) 21
  20. 20.The mean of 5 numbers is 40. When the number 52 is added to them, what is the new mean? (a) 46 (b) 43 (c) 42 (d) 40
  21. 21.The mean of 3 numbers is 18. When the number 22 is added to them, what is the new mean? (a) 20 (b) 18 (c) 21 (d) 19
  22. 22.The mean of 7 numbers is 34. When the number 42 is added to them, what is the new mean? (a) 38 (b) 35 (c) 34 (d) 36
  23. 23.What is the mean of 7, 8, 16, 13 and 11? (a) 10 (b) 11 (c) 12 (d) 13
  24. 24.What is the mean of 7, 20, 10, 17 and 21? (a) 15 (b) 14 (c) 17 (d) 16
  25. 25.What is the median of 40, 16, 2, 39 and 8? (a) 21 (b) 39 (c) 16 (d) 2
  26. 26.The mean of 4 numbers is 17. When the number 37 is added to them, what is the new mean? (a) 21 (b) 22 (c) 27 (d) 17
  27. 27.The mean of 3 numbers is 19. When the number 7 is added to them, what is the new mean? (a) 16 (b) 19 (c) 13 (d) 17
  28. 28.What is the mode of 4, 4, 4, 20, 3, 20 and 10? (a) 20 (b) 3 (c) 4 (d) 10
  29. 29.What is the mean of 5, 3, 2 and 10? (a) 6 (b) 5 (c) 7 (d) 4
  30. 30.What is the mode of 7, 18, 6, 3, 7, 7 and 18? (a) 3 (b) 18 (c) 6 (d) 7
  31. 31.What is the median of 12, 7, 23, 8, 35, 13 and 26? (a) 8 (b) 23 (c) 13 (d) 12
  32. 32.What is the median of 29, 27, 16, 34, 2, 14 and 1? (a) 34 (b) 16 (c) 14 (d) 27
  33. 33.What is the median of 29, 11, 5, 30 and 32? (a) 29 (b) 30 (c) 11 (d) 5
  34. 34.What is the mean of 18, 4, 15, 13, 18 and 16? (a) 12 (b) 15 (c) 14 (d) 13
  35. 35.What is the mode of 1, 6, 11, 14, 6, 6 and 14? (a) 1 (b) 6 (c) 11 (d) 14
  36. 36.What is the mode of 9, 17, 1, 9, 9, 3 and 3? (a) 3 (b) 17 (c) 1 (d) 9
  37. 37.What is the mode of 8, 4, 9, 4, 3, 9 and 9? (a) 9 (b) 4 (c) 3 (d) 8
  38. 38.The mean of 9 numbers is 29. When the number 69 is added to them, what is the new mean? (a) 33 (b) 34 (c) 49 (d) 29
  39. 39.What is the mean of 15, 6, 4 and 15? (a) 8 (b) 11 (c) 9 (d) 10
  40. 40.What is the mode of 1, 5, 12, 15, 15, 15 and 5? (a) 1 (b) 5 (c) 15 (d) 12

Answer key

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

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