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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 391 · 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 13, 17, 13, 20 and 17? (a) 20 (b) 17 (c) 16 (d) 15
  2. 2.What is the mode of 15, 18, 18, 2, 18, 15 and 8? (a) 8 (b) 2 (c) 18 (d) 15
  3. 3.What is the mode of 11, 17, 11, 14, 14, 3 and 14? (a) 14 (b) 17 (c) 11 (d) 3
  4. 4.What is the mean of 10, 9, 19, 19 and 13? (a) 14 (b) 13 (c) 15 (d) 16
  5. 5.What is the median of 8, 1, 4, 13, 16, 15 and 26? (a) 14 (b) 8 (c) 15 (d) 13
  6. 6.The mean of 8 numbers is 18. When the number 27 is added to them, what is the new mean? (a) 20 (b) 21 (c) 19 (d) 18
  7. 7.What is the mean of 7, 10, 20 and 11? (a) 13 (b) 16 (c) 12 (d) 11
  8. 8.The mean of 7 numbers is 21. When the number 13 is added to them, what is the new mean? (a) 17 (b) 21 (c) 19 (d) 20
  9. 9.What is the mode of 7, 17, 9, 18, 9, 9 and 17? (a) 7 (b) 18 (c) 17 (d) 9
  10. 10.The mean of 3 numbers is 40. When the number 44 is added to them, what is the new mean? (a) 43 (b) 42 (c) 41 (d) 40
  11. 11.What is the median of 17, 25, 3, 39, 1, 38 and 31? (a) 25 (b) 39 (c) 22 (d) 31
  12. 12.What is the mean of 7, 16, 16 and 17? (a) 13 (b) 15 (c) 16 (d) 14
  13. 13.What is the mode of 11, 3, 15, 13, 15, 3 and 3? (a) 11 (b) 15 (c) 13 (d) 3
  14. 14.The mean of 9 numbers is 36. When the number 6 is added to them, what is the new mean? (a) 36 (b) 21 (c) 33 (d) 34
  15. 15.What is the mean of 6, 5, 12, 5, 8 and 6? (a) 6 (b) 9 (c) 8 (d) 7
  16. 16.What is the mean of 10, 3, 18 and 5? (a) 12 (b) 8 (c) 10 (d) 9
  17. 17.What is the median of 16, 35, 13, 32 and 26? (a) 16 (b) 26 (c) 13 (d) 32
  18. 18.What is the mean of 18, 20, 2, 15 and 20? (a) 17 (b) 15 (c) 16 (d) 14
  19. 19.What is the median of 6, 27, 9, 12, 1, 35 and 26? (a) 12 (b) 13 (c) 26 (d) 9
  20. 20.The mean of 3 numbers is 29. When the number 37 is added to them, what is the new mean? (a) 29 (b) 32 (c) 31 (d) 33
  21. 21.What is the mean of 15, 20, 19, 10 and 21? (a) 18 (b) 19 (c) 16 (d) 17
  22. 22.What is the mode of 10, 10, 12, 10, 4, 5 and 5? (a) 5 (b) 12 (c) 10 (d) 4
  23. 23.The mean of 4 numbers is 33. When the number 53 is added to them, what is the new mean? (a) 33 (b) 37 (c) 38 (d) 43
  24. 24.What is the median of 1, 13, 30, 7, 36, 27 and 40? (a) 22 (b) 30 (c) 27 (d) 7
  25. 25.The mean of 4 numbers is 18. When the number 13 is added to them, what is the new mean? (a) 19 (b) 16 (c) 17 (d) 18
  26. 26.What is the mean of 3, 14, 13, 12 and 13? (a) 11 (b) 13 (c) 12 (d) 10
  27. 27.What is the mean of 9, 3, 15 and 13? (a) 11 (b) 10 (c) 9 (d) 8
  28. 28.The mean of 3 numbers is 27. When the number 43 is added to them, what is the new mean? (a) 32 (b) 31 (c) 35 (d) 27
  29. 29.What is the mode of 9, 9, 10, 20, 9, 20 and 4? (a) 10 (b) 20 (c) 4 (d) 9
  30. 30.What is the mode of 16, 7, 7, 17, 15, 7 and 16? (a) 15 (b) 17 (c) 16 (d) 7
  31. 31.The mean of 9 numbers is 11. When the number 31 is added to them, what is the new mean? (a) 13 (b) 21 (c) 14 (d) 11
  32. 32.What is the median of 15, 19, 9, 37 and 39? (a) 37 (b) 9 (c) 19 (d) 15
  33. 33.What is the median of 12, 13, 22, 7, 36, 33 and 5? (a) 13 (b) 22 (c) 12 (d) 7
  34. 34.What is the mode of 2, 7, 7, 2, 19, 16 and 2? (a) 19 (b) 7 (c) 16 (d) 2
  35. 35.The mean of 6 numbers is 34. When the number 41 is added to them, what is the new mean? (a) 34 (b) 35 (c) 36 (d) 37
  36. 36.What is the mode of 20, 20, 10, 17, 17, 20 and 8? (a) 10 (b) 20 (c) 17 (d) 8
  37. 37.The mean of 6 numbers is 24. When the number 10 is added to them, what is the new mean? (a) 17 (b) 22 (c) 23 (d) 24
  38. 38.What is the mean of 7, 6, 18 and 5? (a) 8 (b) 12 (c) 9 (d) 10
  39. 39.What is the mode of 20, 5, 20, 10, 5, 5 and 6? (a) 6 (b) 5 (c) 10 (d) 20
  40. 40.What is the mean of 9, 7, 3 and 9? (a) 9 (b) 7 (c) 8 (d) 6

Answer key

  1. 16
  2. 18
  3. 14
  4. 14
  5. 13
  6. 19
  7. 12
  8. 20
  9. 9
  10. 41
  11. 25
  12. 14
  13. 3
  14. 33
  15. 7
  16. 9
  17. 26
  18. 15
  19. 12
  20. 31
  21. 17
  22. 10
  23. 37
  24. 27
  25. 17
  26. 11
  27. 10
  28. 31
  29. 9
  30. 7
  31. 13
  32. 19
  33. 13
  34. 2
  35. 35
  36. 20
  37. 22
  38. 9
  39. 5
  40. 7

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