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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 543 · 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.The mean of 8 numbers is 27. When the number 18 is added to them, what is the new mean? (a) 27 (b) 28 (c) 25 (d) 26
  2. 2.What is the mode of 3, 7, 8, 20, 8, 20 and 20? (a) 8 (b) 7 (c) 20 (d) 3
  3. 3.The mean of 5 numbers is 15. When the number 39 is added to them, what is the new mean? (a) 27 (b) 20 (c) 15 (d) 19
  4. 4.What is the mode of 18, 10, 18, 14, 10, 18 and 4? (a) 18 (b) 4 (c) 14 (d) 10
  5. 5.What is the mean of 16, 4, 2 and 18? (a) 10 (b) 8 (c) 11 (d) 9
  6. 6.What is the mode of 14, 4, 9, 14, 17, 9 and 14? (a) 9 (b) 4 (c) 14 (d) 17
  7. 7.What is the mode of 20, 17, 20, 19, 17, 17 and 2? (a) 20 (b) 2 (c) 19 (d) 17
  8. 8.The mean of 6 numbers is 22. When the number 50 is added to them, what is the new mean? (a) 22 (b) 27 (c) 36 (d) 26
  9. 9.What is the mode of 6, 6, 20, 20, 11, 6 and 2? (a) 20 (b) 6 (c) 11 (d) 2
  10. 10.What is the median of 21, 18, 4, 34, 8, 6 and 11? (a) 8 (b) 18 (c) 11 (d) 34
  11. 11.What is the mode of 15, 4, 16, 15, 4, 4 and 5? (a) 5 (b) 4 (c) 16 (d) 15
  12. 12.What is the mode of 14, 4, 4, 8, 6, 14 and 4? (a) 14 (b) 6 (c) 8 (d) 4
  13. 13.The mean of 4 numbers is 10. When the number 30 is added to them, what is the new mean? (a) 10 (b) 15 (c) 20 (d) 14
  14. 14.What is the median of 34, 33, 6, 25, 17, 4 and 30? (a) 30 (b) 25 (c) 26 (d) 17
  15. 15.What is the median of 5, 12, 18, 2, 36, 28 and 38? (a) 2 (b) 12 (c) 18 (d) 28
  16. 16.What is the median of 4, 2, 32, 10 and 31? (a) 31 (b) 32 (c) 4 (d) 10
  17. 17.What is the mode of 15, 14, 15, 11, 15, 8 and 8? (a) 8 (b) 11 (c) 14 (d) 15
  18. 18.What is the median of 38, 17, 25, 27 and 11? (a) 26 (b) 17 (c) 27 (d) 25
  19. 19.What is the mode of 13, 6, 6, 9, 6, 14 and 9? (a) 9 (b) 13 (c) 14 (d) 6
  20. 20.What is the median of 30, 12, 37, 40 and 9? (a) 30 (b) 12 (c) 37 (d) 31
  21. 21.What is the mode of 5, 1, 1, 4, 5, 3 and 5? (a) 3 (b) 5 (c) 4 (d) 1
  22. 22.What is the median of 27, 32, 17, 9 and 24? (a) 17 (b) 24 (c) 27 (d) 25
  23. 23.What is the mean of 4, 14, 2 and 16? (a) 10 (b) 9 (c) 8 (d) 12
  24. 24.What is the median of 13, 27, 29, 26, 2, 31 and 33? (a) 26 (b) 29 (c) 27 (d) 23
  25. 25.What is the mean of 8, 3, 6, 8, 4 and 7? (a) 8 (b) 7 (c) 5 (d) 6
  26. 26.What is the mode of 1, 4, 8, 8, 8, 19 and 4? (a) 19 (b) 1 (c) 4 (d) 8
  27. 27.The mean of 4 numbers is 23. When the number 8 is added to them, what is the new mean? (a) 23 (b) 20 (c) 19 (d) 21
  28. 28.What is the mode of 1, 1, 3, 14, 8, 1 and 8? (a) 8 (b) 1 (c) 14 (d) 3
  29. 29.What is the mode of 17, 18, 17, 10, 19, 17 and 10? (a) 19 (b) 17 (c) 18 (d) 10
  30. 30.The mean of 7 numbers is 33. When the number 65 is added to them, what is the new mean? (a) 33 (b) 37 (c) 49 (d) 38
  31. 31.The mean of 5 numbers is 11. When the number 5 is added to them, what is the new mean? (a) 10 (b) 11 (c) 8 (d) 9
  32. 32.What is the median of 23, 3, 17, 2, 22, 37 and 11? (a) 2 (b) 17 (c) 22 (d) 11
  33. 33.What is the median of 38, 1, 17, 11, 3, 4 and 10? (a) 10 (b) 12 (c) 4 (d) 11
  34. 34.What is the mean of 11, 7, 13 and 5? (a) 9 (b) 10 (c) 8 (d) 12
  35. 35.The mean of 4 numbers is 34. When the number 54 is added to them, what is the new mean? (a) 44 (b) 39 (c) 34 (d) 38
  36. 36.The mean of 8 numbers is 30. When the number 48 is added to them, what is the new mean? (a) 33 (b) 39 (c) 32 (d) 30
  37. 37.The mean of 5 numbers is 28. When the number 46 is added to them, what is the new mean? (a) 31 (b) 37 (c) 32 (d) 28
  38. 38.What is the median of 37, 19, 9, 38 and 17? (a) 24 (b) 9 (c) 37 (d) 19
  39. 39.What is the mode of 9, 9, 20, 17, 20, 5 and 20? (a) 20 (b) 9 (c) 17 (d) 5
  40. 40.What is the mode of 10, 20, 13, 20, 7, 13 and 13? (a) 13 (b) 20 (c) 7 (d) 10

Answer key

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

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