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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 41 · 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 1, 5, 14, 5, 1, 16 and 5? (a) 1 (b) 16 (c) 14 (d) 5
  2. 2.What is the mean of 20, 7, 8 and 9? (a) 10 (b) 11 (c) 12 (d) 13
  3. 3.What is the mean of 11, 20, 13, 5 and 6? (a) 12 (b) 11 (c) 13 (d) 10
  4. 4.The mean of 5 numbers is 18. When the number 30 is added to them, what is the new mean? (a) 21 (b) 18 (c) 20 (d) 24
  5. 5.What is the mean of 15, 12, 19 and 14? (a) 16 (b) 20 (c) 12 (d) 15
  6. 6.What is the median of 34, 17, 14, 12 and 38? (a) 17 (b) 14 (c) 34 (d) 23
  7. 7.What is the median of 36, 15, 1, 17 and 14? (a) 15 (b) 14 (c) 1 (d) 17
  8. 8.What is the mean of 14, 19, 8 and 7? (a) 11 (b) 16 (c) 13 (d) 12
  9. 9.What is the median of 31, 32, 29, 4 and 40? (a) 29 (b) 31 (c) 32 (d) 30
  10. 10.What is the mean of 9, 16, 6, 20 and 4? (a) 11 (b) 12 (c) 10 (d) 13
  11. 11.What is the mean of 20, 11, 11, 8 and 10? (a) 13 (b) 10 (c) 15 (d) 12
  12. 12.What is the mean of 3, 13, 20 and 20? (a) 13 (b) 15 (c) 16 (d) 14
  13. 13.What is the median of 10, 7, 25, 4 and 16? (a) 25 (b) 10 (c) 7 (d) 16
  14. 14.What is the median of 14, 34, 16, 28, 24, 6 and 31? (a) 28 (b) 25 (c) 16 (d) 24
  15. 15.What is the median of 35, 38, 2, 22, 12, 36 and 11? (a) 12 (b) 22 (c) 23 (d) 35
  16. 16.What is the median of 4, 35, 30, 7, 27, 17 and 33? (a) 27 (b) 30 (c) 7 (d) 17
  17. 17.The mean of 6 numbers is 14. When the number 21 is added to them, what is the new mean? (a) 15 (b) 17 (c) 16 (d) 14
  18. 18.What is the mean of 16, 7, 18, 4, 14 and 7? (a) 12 (b) 11 (c) 10 (d) 13
  19. 19.What is the mean of 6, 17, 17, 20, 3 and 9? (a) 12 (b) 13 (c) 14 (d) 11
  20. 20.What is the mean of 19, 5, 6, 18 and 22? (a) 15 (b) 13 (c) 16 (d) 14
  21. 21.What is the mean of 19, 19, 13, 7, 7 and 13? (a) 14 (b) 15 (c) 13 (d) 12
  22. 22.What is the mean of 12, 8, 18 and 18? (a) 15 (b) 13 (c) 16 (d) 14
  23. 23.What is the mean of 14, 4, 20, 2, 14 and 18? (a) 11 (b) 13 (c) 14 (d) 12
  24. 24.What is the mean of 8, 15, 12, 9, 11 and 5? (a) 9 (b) 12 (c) 11 (d) 10
  25. 25.The mean of 5 numbers is 27. When the number 9 is added to them, what is the new mean? (a) 27 (b) 18 (c) 24 (d) 25
  26. 26.The mean of 3 numbers is 19. When the number 23 is added to them, what is the new mean? (a) 21 (b) 20 (c) 22 (d) 19
  27. 27.What is the median of 1, 31, 13, 34, 11, 33 and 26? (a) 31 (b) 34 (c) 26 (d) 13
  28. 28.The mean of 3 numbers is 40. When the number 24 is added to them, what is the new mean? (a) 36 (b) 37 (c) 32 (d) 40
  29. 29.The mean of 5 numbers is 25. When the number 1 is added to them, what is the new mean? (a) 21 (b) 22 (c) 25 (d) 13
  30. 30.What is the median of 23, 32, 18, 3, 6, 35 and 38? (a) 23 (b) 3 (c) 32 (d) 18
  31. 31.What is the mean of 8, 20, 18, 12, 19 and 13? (a) 14 (b) 18 (c) 15 (d) 16
  32. 32.The mean of 4 numbers is 25. When the number 45 is added to them, what is the new mean? (a) 29 (b) 35 (c) 30 (d) 25
  33. 33.What is the mean of 5, 11, 6 and 10? (a) 9 (b) 7 (c) 10 (d) 8
  34. 34.The mean of 5 numbers is 24. When the number 6 is added to them, what is the new mean? (a) 15 (b) 22 (c) 24 (d) 21
  35. 35.What is the mean of 16, 19, 16, 18 and 16? (a) 19 (b) 17 (c) 16 (d) 18
  36. 36.What is the mode of 8, 19, 20, 8, 19, 19 and 5? (a) 19 (b) 5 (c) 8 (d) 20
  37. 37.What is the median of 20, 6, 17, 32, 29, 7 and 11? (a) 11 (b) 32 (c) 17 (d) 20
  38. 38.The mean of 6 numbers is 35. When the number 28 is added to them, what is the new mean? (a) 35 (b) 33 (c) 34 (d) 36
  39. 39.What is the mean of 19, 7, 16 and 22? (a) 18 (b) 17 (c) 16 (d) 15
  40. 40.What is the mode of 6, 11, 11, 6, 5, 9 and 6? (a) 5 (b) 6 (c) 9 (d) 11

Answer key

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

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