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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 140 · 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 median of 9, 23, 29, 8 and 4? (a) 8 (b) 9 (c) 23 (d) 29
  2. 2.What is the median of 2, 20, 3, 38 and 22? (a) 3 (b) 17 (c) 22 (d) 20
  3. 3.The mean of 7 numbers is 40. When the number 56 is added to them, what is the new mean? (a) 48 (b) 40 (c) 42 (d) 43
  4. 4.The mean of 5 numbers is 20. When the number 2 is added to them, what is the new mean? (a) 20 (b) 11 (c) 18 (d) 17
  5. 5.What is the mean of 7, 8, 14 and 7? (a) 8 (b) 12 (c) 9 (d) 10
  6. 6.What is the median of 30, 9, 33, 40 and 34? (a) 30 (b) 33 (c) 32 (d) 34
  7. 7.What is the mode of 6, 3, 1, 3, 1, 2 and 1? (a) 2 (b) 1 (c) 6 (d) 3
  8. 8.The mean of 9 numbers is 33. When the number 23 is added to them, what is the new mean? (a) 33 (b) 28 (c) 31 (d) 32
  9. 9.What is the mean of 2, 2, 6, 15 and 5? (a) 6 (b) 8 (c) 7 (d) 5
  10. 10.What is the mode of 1, 10, 19, 10, 12, 12 and 12? (a) 19 (b) 12 (c) 1 (d) 10
  11. 11.What is the median of 1, 9, 26, 27 and 40? (a) 26 (b) 25 (c) 27 (d) 9
  12. 12.What is the mode of 10, 10, 20, 12, 11, 12 and 10? (a) 10 (b) 11 (c) 20 (d) 12
  13. 13.What is the mode of 14, 20, 20, 14, 9, 20 and 2? (a) 9 (b) 14 (c) 20 (d) 2
  14. 14.The mean of 4 numbers is 26. When the number 21 is added to them, what is the new mean? (a) 26 (b) 25 (c) 24 (d) 27
  15. 15.What is the mode of 6, 15, 7, 6, 6, 2 and 7? (a) 2 (b) 15 (c) 7 (d) 6
  16. 16.What is the mean of 10, 5, 16 and 5? (a) 8 (b) 9 (c) 10 (d) 12
  17. 17.The mean of 6 numbers is 24. When the number 17 is added to them, what is the new mean? (a) 25 (b) 23 (c) 24 (d) 22
  18. 18.What is the mode of 15, 13, 8, 13, 17, 15 and 13? (a) 17 (b) 8 (c) 13 (d) 15
  19. 19.What is the mode of 3, 10, 10, 18, 2, 18 and 10? (a) 3 (b) 2 (c) 10 (d) 18
  20. 20.What is the mean of 2, 11, 4, 9 and 9? (a) 7 (b) 6 (c) 8 (d) 9
  21. 21.What is the median of 8, 9, 34, 2, 20, 13 and 19? (a) 13 (b) 15 (c) 19 (d) 2
  22. 22.What is the mode of 1, 3, 6, 1, 16, 3 and 3? (a) 16 (b) 3 (c) 6 (d) 1
  23. 23.What is the median of 13, 11, 35, 32 and 39? (a) 13 (b) 26 (c) 35 (d) 32
  24. 24.What is the mode of 16, 12, 19, 19, 12, 6 and 19? (a) 12 (b) 6 (c) 19 (d) 16
  25. 25.What is the mean of 11, 18, 8, 19, 3 and 19? (a) 14 (b) 12 (c) 15 (d) 13
  26. 26.The mean of 8 numbers is 21. When the number 57 is added to them, what is the new mean? (a) 39 (b) 26 (c) 25 (d) 21
  27. 27.What is the median of 27, 8, 18, 10 and 21? (a) 10 (b) 19 (c) 18 (d) 21
  28. 28.The mean of 7 numbers is 22. When the number 46 is added to them, what is the new mean? (a) 34 (b) 26 (c) 25 (d) 22
  29. 29.What is the mode of 12, 12, 1, 15, 1, 1 and 19? (a) 12 (b) 15 (c) 19 (d) 1
  30. 30.What is the mean of 5, 6, 20, 5, 13 and 17? (a) 13 (b) 11 (c) 12 (d) 10
  31. 31.What is the mode of 6, 15, 16, 9, 15, 15 and 6? (a) 9 (b) 15 (c) 6 (d) 16
  32. 32.What is the mean of 11, 14, 2, 16, 6 and 23? (a) 12 (b) 13 (c) 11 (d) 14
  33. 33.What is the mean of 16, 14, 8 and 6? (a) 10 (b) 13 (c) 11 (d) 12
  34. 34.The mean of 3 numbers is 11. When the number 27 is added to them, what is the new mean? (a) 19 (b) 11 (c) 16 (d) 15
  35. 35.What is the median of 30, 28, 20, 4, 5, 18 and 2? (a) 4 (b) 20 (c) 5 (d) 18
  36. 36.What is the mode of 8, 5, 6, 2, 2, 8 and 2? (a) 5 (b) 6 (c) 8 (d) 2
  37. 37.What is the median of 6, 19, 11, 34 and 22? (a) 19 (b) 11 (c) 20 (d) 22
  38. 38.The mean of 5 numbers is 18. When the number 12 is added to them, what is the new mean? (a) 18 (b) 16 (c) 17 (d) 15
  39. 39.What is the mean of 3, 6, 4 and 11? (a) 6 (b) 7 (c) 8 (d) 5
  40. 40.What is the mode of 18, 15, 15, 18, 10, 18 and 17? (a) 10 (b) 17 (c) 15 (d) 18

Answer key

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

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