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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 502 · 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 1, 25, 5, 14, 26, 30 and 18? (a) 25 (b) 18 (c) 14 (d) 17
  2. 2.The mean of 5 numbers is 32. When the number 26 is added to them, what is the new mean? (a) 29 (b) 31 (c) 30 (d) 32
  3. 3.What is the mode of 4, 7, 14, 18, 7, 7 and 4? (a) 4 (b) 7 (c) 18 (d) 14
  4. 4.The mean of 4 numbers is 33. When the number 53 is added to them, what is the new mean? (a) 33 (b) 38 (c) 37 (d) 43
  5. 5.What is the mean of 6, 13, 11, 16 and 9? (a) 13 (b) 10 (c) 12 (d) 11
  6. 6.What is the median of 37, 7, 3, 38, 5, 4 and 22? (a) 38 (b) 5 (c) 7 (d) 22
  7. 7.What is the mode of 16, 14, 11, 14, 16, 14 and 5? (a) 11 (b) 16 (c) 5 (d) 14
  8. 8.What is the mean of 15, 18, 6, 20 and 16? (a) 15 (b) 14 (c) 17 (d) 16
  9. 9.What is the mean of 10, 20, 12, 5, 7 and 12? (a) 12 (b) 13 (c) 10 (d) 11
  10. 10.What is the mean of 5, 6, 4 and 17? (a) 9 (b) 7 (c) 8 (d) 10
  11. 11.What is the mean of 9, 14, 13, 4 and 15? (a) 13 (b) 10 (c) 12 (d) 11
  12. 12.What is the median of 36, 33, 2, 38, 24, 12 and 6? (a) 33 (b) 24 (c) 12 (d) 38
  13. 13.What is the median of 16, 22, 14, 34 and 39? (a) 25 (b) 14 (c) 34 (d) 22
  14. 14.What is the mode of 9, 20, 14, 9, 1, 14 and 9? (a) 1 (b) 14 (c) 20 (d) 9
  15. 15.What is the mode of 15, 6, 6, 3, 6, 4 and 4? (a) 4 (b) 15 (c) 3 (d) 6
  16. 16.The mean of 4 numbers is 14. When the number 29 is added to them, what is the new mean? (a) 16 (b) 14 (c) 17 (d) 18
  17. 17.What is the mean of 16, 4, 17 and 11? (a) 16 (b) 11 (c) 12 (d) 13
  18. 18.What is the mode of 6, 16, 20, 20, 20, 12 and 6? (a) 16 (b) 20 (c) 6 (d) 12
  19. 19.The mean of 6 numbers is 32. When the number 53 is added to them, what is the new mean? (a) 32 (b) 34 (c) 35 (d) 36
  20. 20.What is the mode of 13, 2, 3, 5, 13, 13 and 5? (a) 3 (b) 5 (c) 2 (d) 13
  21. 21.What is the mode of 7, 7, 17, 13, 13, 13 and 6? (a) 17 (b) 7 (c) 13 (d) 6
  22. 22.The mean of 3 numbers is 30. When the number 18 is added to them, what is the new mean? (a) 27 (b) 30 (c) 28 (d) 24
  23. 23.What is the mean of 12, 2, 15 and 7? (a) 9 (b) 10 (c) 12 (d) 8
  24. 24.The mean of 6 numbers is 16. When the number 9 is added to them, what is the new mean? (a) 17 (b) 15 (c) 14 (d) 16
  25. 25.What is the mode of 15, 14, 12, 4, 12, 14 and 14? (a) 14 (b) 4 (c) 12 (d) 15
  26. 26.What is the mode of 17, 4, 15, 4, 17, 4 and 2? (a) 2 (b) 4 (c) 17 (d) 15
  27. 27.What is the mean of 12, 12, 6 and 22? (a) 12 (b) 15 (c) 13 (d) 14
  28. 28.What is the mode of 20, 15, 15, 20, 19, 9 and 20? (a) 9 (b) 20 (c) 19 (d) 15
  29. 29.What is the median of 35, 32, 21, 33 and 2? (a) 21 (b) 33 (c) 32 (d) 31
  30. 30.What is the median of 3, 34, 39, 29, 23, 32 and 12? (a) 23 (b) 30 (c) 29 (d) 32
  31. 31.What is the mean of 6, 6, 15, 5, 2 and 14? (a) 10 (b) 9 (c) 8 (d) 7
  32. 32.What is the mean of 4, 9, 16, 5 and 11? (a) 9 (b) 10 (c) 11 (d) 8
  33. 33.The mean of 5 numbers is 14. When the number 20 is added to them, what is the new mean? (a) 16 (b) 14 (c) 15 (d) 17
  34. 34.The mean of 3 numbers is 35. When the number 27 is added to them, what is the new mean? (a) 33 (b) 35 (c) 31 (d) 34
  35. 35.What is the mean of 5, 6, 13, 14, 8 and 14? (a) 12 (b) 10 (c) 9 (d) 11
  36. 36.The mean of 9 numbers is 19. When the number 39 is added to them, what is the new mean? (a) 22 (b) 19 (c) 29 (d) 21
  37. 37.What is the mode of 12, 6, 3, 12, 12, 14 and 3? (a) 14 (b) 3 (c) 12 (d) 6
  38. 38.What is the median of 13, 26, 34, 35, 21, 29 and 1? (a) 35 (b) 29 (c) 26 (d) 21
  39. 39.What is the mean of 2, 13, 3, 13 and 14? (a) 11 (b) 8 (c) 10 (d) 9
  40. 40.The mean of 4 numbers is 12. When the number 27 is added to them, what is the new mean? (a) 12 (b) 16 (c) 14 (d) 15

Answer key

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

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