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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 196 · 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 10, 3, 19, 16 and 17? (a) 14 (b) 12 (c) 15 (d) 13
  2. 2.The mean of 9 numbers is 24. When the number 64 is added to them, what is the new mean? (a) 29 (b) 28 (c) 44 (d) 24
  3. 3.The mean of 4 numbers is 15. When the number 20 is added to them, what is the new mean? (a) 15 (b) 17 (c) 18 (d) 16
  4. 4.What is the mean of 13, 17, 12, 12 and 6? (a) 15 (b) 12 (c) 10 (d) 13
  5. 5.What is the median of 18, 19, 40, 16, 13, 31 and 24? (a) 23 (b) 24 (c) 19 (d) 16
  6. 6.What is the mean of 17, 19, 11, 19 and 19? (a) 18 (b) 16 (c) 17 (d) 19
  7. 7.What is the mean of 4, 6, 8, 4, 19 and 7? (a) 10 (b) 7 (c) 8 (d) 9
  8. 8.The mean of 9 numbers is 25. When the number 5 is added to them, what is the new mean? (a) 25 (b) 23 (c) 24 (d) 15
  9. 9.What is the mode of 2, 12, 4, 11, 12, 4 and 4? (a) 4 (b) 2 (c) 11 (d) 12
  10. 10.What is the median of 28, 15, 9, 12 and 3? (a) 12 (b) 13 (c) 9 (d) 15
  11. 11.What is the mode of 3, 17, 20, 20, 3, 20 and 16? (a) 20 (b) 16 (c) 17 (d) 3
  12. 12.The mean of 5 numbers is 29. When the number 47 is added to them, what is the new mean? (a) 38 (b) 32 (c) 29 (d) 33
  13. 13.What is the median of 40, 26, 39, 30, 5, 12 and 21? (a) 30 (b) 26 (c) 27 (d) 21
  14. 14.What is the mean of 3, 2, 11 and 4? (a) 7 (b) 4 (c) 6 (d) 5
  15. 15.What is the mean of 9, 17, 11, 3 and 15? (a) 13 (b) 11 (c) 12 (d) 10
  16. 16.What is the median of 33, 30, 9, 25, 20, 36 and 40? (a) 33 (b) 30 (c) 31 (d) 25
  17. 17.What is the mode of 5, 16, 18, 9, 5, 18 and 5? (a) 9 (b) 18 (c) 5 (d) 16
  18. 18.What is the mode of 10, 6, 6, 10, 20, 10 and 5? (a) 5 (b) 20 (c) 10 (d) 6
  19. 19.What is the mode of 19, 7, 19, 4, 19, 17 and 4? (a) 4 (b) 7 (c) 19 (d) 17
  20. 20.What is the mode of 13, 19, 2, 2, 14, 14 and 14? (a) 2 (b) 13 (c) 19 (d) 14
  21. 21.The mean of 3 numbers is 26. When the number 42 is added to them, what is the new mean? (a) 34 (b) 30 (c) 26 (d) 31
  22. 22.What is the mean of 17, 7, 12, 13 and 6? (a) 10 (b) 12 (c) 13 (d) 11
  23. 23.The mean of 4 numbers is 35. When the number 55 is added to them, what is the new mean? (a) 45 (b) 40 (c) 35 (d) 39
  24. 24.What is the median of 21, 14, 39, 32, 40, 1 and 3? (a) 32 (b) 22 (c) 21 (d) 14
  25. 25.What is the median of 24, 5, 1, 32 and 10? (a) 24 (b) 5 (c) 10 (d) 1
  26. 26.What is the mean of 11, 18, 7, 12, 11 and 7? (a) 10 (b) 12 (c) 13 (d) 11
  27. 27.What is the median of 12, 22, 28, 10, 11, 1 and 15? (a) 15 (b) 11 (c) 10 (d) 12
  28. 28.What is the median of 31, 5, 19, 39 and 4? (a) 31 (b) 5 (c) 20 (d) 19
  29. 29.The mean of 9 numbers is 38. When the number 78 is added to them, what is the new mean? (a) 43 (b) 38 (c) 42 (d) 58
  30. 30.What is the median of 31, 12, 4, 21 and 39? (a) 21 (b) 4 (c) 31 (d) 12
  31. 31.What is the mode of 20, 2, 2, 18, 20, 10 and 20? (a) 2 (b) 20 (c) 10 (d) 18
  32. 32.The mean of 9 numbers is 16. When the number 6 is added to them, what is the new mean? (a) 15 (b) 14 (c) 16 (d) 11
  33. 33.What is the mean of 4, 17, 6 and 17? (a) 12 (b) 10 (c) 13 (d) 11
  34. 34.What is the mean of 15, 19, 19, 19 and 13? (a) 16 (b) 17 (c) 19 (d) 18
  35. 35.What is the mode of 20, 20, 7, 7, 17, 7 and 18? (a) 18 (b) 20 (c) 17 (d) 7
  36. 36.What is the mean of 8, 3, 15 and 14? (a) 11 (b) 9 (c) 8 (d) 10
  37. 37.What is the median of 34, 17, 3, 33 and 2? (a) 17 (b) 33 (c) 18 (d) 3
  38. 38.What is the median of 5, 3, 32, 9 and 16? (a) 16 (b) 32 (c) 9 (d) 13
  39. 39.What is the mode of 19, 13, 4, 13, 4, 8 and 13? (a) 19 (b) 8 (c) 13 (d) 4
  40. 40.The mean of 3 numbers is 21. When the number 25 is added to them, what is the new mean? (a) 22 (b) 24 (c) 23 (d) 21

Answer key

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

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