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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 223 · 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 mean of 17, 9, 12 and 10? (a) 13 (b) 16 (c) 12 (d) 11
  2. 2.What is the mode of 12, 16, 16, 12, 2, 20 and 12? (a) 2 (b) 16 (c) 20 (d) 12
  3. 3.What is the median of 21, 5, 9, 12 and 19? (a) 9 (b) 12 (c) 19 (d) 13
  4. 4.What is the mode of 11, 18, 1, 18, 11, 13 and 18? (a) 1 (b) 18 (c) 13 (d) 11
  5. 5.The mean of 8 numbers is 18. When the number 27 is added to them, what is the new mean? (a) 19 (b) 18 (c) 21 (d) 20
  6. 6.The mean of 6 numbers is 16. When the number 23 is added to them, what is the new mean? (a) 18 (b) 17 (c) 19 (d) 16
  7. 7.What is the mode of 14, 19, 9, 19, 3, 19 and 3? (a) 19 (b) 9 (c) 14 (d) 3
  8. 8.The mean of 3 numbers is 28. When the number 32 is added to them, what is the new mean? (a) 31 (b) 30 (c) 29 (d) 28
  9. 9.What is the median of 39, 21, 35, 6 and 34? (a) 35 (b) 27 (c) 34 (d) 21
  10. 10.What is the mean of 14, 16, 9 and 13? (a) 13 (b) 12 (c) 14 (d) 15
  11. 11.What is the mode of 3, 8, 8, 3, 12, 17 and 3? (a) 3 (b) 8 (c) 12 (d) 17
  12. 12.What is the mean of 3, 4, 17 and 16? (a) 11 (b) 10 (c) 8 (d) 9
  13. 13.What is the median of 36, 21, 40, 3, 26, 12 and 7? (a) 12 (b) 3 (c) 21 (d) 26
  14. 14.What is the mean of 8, 2, 12 and 22? (a) 10 (b) 13 (c) 11 (d) 12
  15. 15.What is the mode of 19, 16, 11, 16, 11, 11 and 13? (a) 13 (b) 16 (c) 11 (d) 19
  16. 16.What is the mode of 17, 11, 4, 11, 14, 17 and 11? (a) 17 (b) 14 (c) 11 (d) 4
  17. 17.What is the mode of 1, 2, 8, 8, 2, 2 and 12? (a) 1 (b) 12 (c) 8 (d) 2
  18. 18.What is the mode of 2, 2, 3, 18, 2, 3 and 11? (a) 11 (b) 3 (c) 18 (d) 2
  19. 19.The mean of 3 numbers is 18. When the number 22 is added to them, what is the new mean? (a) 21 (b) 20 (c) 19 (d) 18
  20. 20.What is the median of 33, 35, 10, 26, 13, 6 and 29? (a) 26 (b) 13 (c) 27 (d) 29
  21. 21.The mean of 8 numbers is 35. When the number 62 is added to them, what is the new mean? (a) 38 (b) 35 (c) 39 (d) 37
  22. 22.The mean of 3 numbers is 10. When the number 6 is added to them, what is the new mean? (a) 10 (b) 8 (c) 9 (d) 11
  23. 23.What is the median of 32, 14, 34, 9, 39, 6 and 31? (a) 14 (b) 32 (c) 31 (d) 9
  24. 24.The mean of 9 numbers is 38. When the number 58 is added to them, what is the new mean? (a) 40 (b) 38 (c) 48 (d) 41
  25. 25.The mean of 9 numbers is 20. When the number 50 is added to them, what is the new mean? (a) 20 (b) 23 (c) 35 (d) 24
  26. 26.What is the mode of 13, 13, 15, 6, 18, 6 and 6? (a) 18 (b) 6 (c) 13 (d) 15
  27. 27.The mean of 4 numbers is 39. When the number 59 is added to them, what is the new mean? (a) 39 (b) 44 (c) 43 (d) 49
  28. 28.What is the median of 38, 16, 23, 21 and 19? (a) 19 (b) 23 (c) 22 (d) 21
  29. 29.What is the median of 5, 32, 7, 26, 24, 3 and 2? (a) 24 (b) 26 (c) 5 (d) 7
  30. 30.The mean of 9 numbers is 29. When the number 9 is added to them, what is the new mean? (a) 28 (b) 29 (c) 19 (d) 27
  31. 31.What is the mean of 5, 19, 16 and 16? (a) 13 (b) 14 (c) 16 (d) 15
  32. 32.What is the median of 33, 9, 3, 15, 4, 2 and 32? (a) 15 (b) 4 (c) 14 (d) 9
  33. 33.The mean of 4 numbers is 31. When the number 21 is added to them, what is the new mean? (a) 31 (b) 26 (c) 30 (d) 29
  34. 34.The mean of 9 numbers is 30. When the number 10 is added to them, what is the new mean? (a) 29 (b) 20 (c) 30 (d) 28
  35. 35.What is the mode of 6, 16, 16, 14, 6, 16 and 3? (a) 3 (b) 14 (c) 6 (d) 16
  36. 36.What is the mean of 12, 17, 12, 2, 3 and 14? (a) 9 (b) 11 (c) 10 (d) 12
  37. 37.What is the mode of 15, 13, 19, 15, 19, 11 and 19? (a) 15 (b) 11 (c) 13 (d) 19
  38. 38.What is the mode of 12, 5, 5, 8, 6, 8 and 8? (a) 6 (b) 12 (c) 5 (d) 8
  39. 39.What is the median of 21, 6, 3, 39 and 31? (a) 31 (b) 20 (c) 21 (d) 3
  40. 40.The mean of 4 numbers is 30. When the number 35 is added to them, what is the new mean? (a) 30 (b) 31 (c) 32 (d) 33

Answer key

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

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