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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 707 · 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 15, 5, 19 and 13? (a) 12 (b) 15 (c) 13 (d) 14
  2. 2.The mean of 7 numbers is 39. When the number 63 is added to them, what is the new mean? (a) 51 (b) 39 (c) 43 (d) 42
  3. 3.What is the mode of 7, 2, 19, 2, 18, 18 and 2? (a) 7 (b) 19 (c) 2 (d) 18
  4. 4.What is the mode of 2, 4, 3, 14, 4, 3 and 3? (a) 14 (b) 4 (c) 3 (d) 2
  5. 5.What is the mode of 17, 9, 5, 18, 9, 9 and 18? (a) 18 (b) 9 (c) 5 (d) 17
  6. 6.What is the mode of 10, 16, 11, 10, 16, 10 and 8? (a) 10 (b) 16 (c) 11 (d) 8
  7. 7.What is the median of 10, 31, 9, 35 and 29? (a) 31 (b) 10 (c) 9 (d) 29
  8. 8.What is the median of 14, 23, 22, 33, 31, 27 and 19? (a) 27 (b) 33 (c) 23 (d) 22
  9. 9.What is the median of 18, 20, 22, 14 and 27? (a) 21 (b) 22 (c) 18 (d) 20
  10. 10.What is the mode of 8, 3, 5, 5, 15, 5 and 15? (a) 3 (b) 15 (c) 8 (d) 5
  11. 11.What is the mode of 2, 19, 14, 4, 4, 2 and 4? (a) 4 (b) 2 (c) 14 (d) 19
  12. 12.What is the median of 14, 6, 24, 19 and 36? (a) 20 (b) 14 (c) 24 (d) 19
  13. 13.What is the mode of 16, 12, 8, 2, 8, 8 and 2? (a) 16 (b) 12 (c) 2 (d) 8
  14. 14.What is the mode of 5, 6, 6, 5, 16, 14 and 6? (a) 14 (b) 16 (c) 6 (d) 5
  15. 15.What is the mode of 2, 17, 16, 17, 17, 12 and 2? (a) 17 (b) 12 (c) 2 (d) 16
  16. 16.What is the median of 26, 11, 6, 35 and 34? (a) 34 (b) 6 (c) 26 (d) 11
  17. 17.What is the mode of 2, 14, 14, 14, 16, 6 and 6? (a) 2 (b) 16 (c) 6 (d) 14
  18. 18.What is the mean of 9, 3, 7, 5 and 6? (a) 6 (b) 7 (c) 8 (d) 5
  19. 19.What is the mode of 19, 19, 11, 7, 14, 7 and 7? (a) 14 (b) 19 (c) 7 (d) 11
  20. 20.The mean of 5 numbers is 18. When the number 30 is added to them, what is the new mean? (a) 21 (b) 24 (c) 20 (d) 18
  21. 21.What is the median of 37, 2, 26, 38 and 1? (a) 2 (b) 27 (c) 37 (d) 26
  22. 22.The mean of 4 numbers is 37. When the number 32 is added to them, what is the new mean? (a) 35 (b) 38 (c) 37 (d) 36
  23. 23.What is the median of 31, 4, 32, 39, 28, 2 and 10? (a) 39 (b) 28 (c) 31 (d) 10
  24. 24.What is the mode of 9, 16, 9, 16, 1, 2 and 16? (a) 2 (b) 16 (c) 9 (d) 1
  25. 25.The mean of 4 numbers is 21. When the number 26 is added to them, what is the new mean? (a) 21 (b) 24 (c) 22 (d) 23
  26. 26.What is the mean of 9, 17, 3 and 15? (a) 12 (b) 13 (c) 10 (d) 11
  27. 27.The mean of 4 numbers is 28. When the number 18 is added to them, what is the new mean? (a) 26 (b) 28 (c) 23 (d) 27
  28. 28.The mean of 9 numbers is 17. When the number 27 is added to them, what is the new mean? (a) 17 (b) 18 (c) 22 (d) 19
  29. 29.What is the median of 30, 26, 3, 2, 17, 31 and 7? (a) 17 (b) 7 (c) 2 (d) 26
  30. 30.What is the mean of 2, 17, 4, 15 and 17? (a) 10 (b) 13 (c) 12 (d) 11
  31. 31.What is the mode of 15, 15, 10, 10, 12, 3 and 15? (a) 15 (b) 12 (c) 10 (d) 3
  32. 32.What is the mean of 16, 18, 2 and 8? (a) 12 (b) 13 (c) 10 (d) 11
  33. 33.What is the mean of 6, 3, 10 and 5? (a) 5 (b) 7 (c) 6 (d) 8
  34. 34.What is the mode of 10, 10, 6, 6, 9, 6 and 16? (a) 9 (b) 10 (c) 6 (d) 16
  35. 35.What is the mode of 2, 16, 2, 16, 16, 11 and 10? (a) 16 (b) 11 (c) 2 (d) 10
  36. 36.The mean of 5 numbers is 26. When the number 20 is added to them, what is the new mean? (a) 23 (b) 26 (c) 25 (d) 24
  37. 37.What is the median of 39, 19, 17, 8 and 14? (a) 19 (b) 14 (c) 17 (d) 18
  38. 38.The mean of 3 numbers is 10. When the number 6 is added to them, what is the new mean? (a) 8 (b) 11 (c) 9 (d) 10
  39. 39.What is the mean of 8, 2, 10, 13, 6 and 21? (a) 9 (b) 11 (c) 12 (d) 10
  40. 40.The mean of 3 numbers is 12. When the number 8 is added to them, what is the new mean? (a) 11 (b) 13 (c) 12 (d) 10

Answer key

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

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