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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 575 · 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 13, 20, 5, 5, 2, 5 and 2? (a) 20 (b) 2 (c) 5 (d) 13
  2. 2.The mean of 3 numbers is 24. When the number 8 is added to them, what is the new mean? (a) 20 (b) 16 (c) 21 (d) 24
  3. 3.What is the median of 32, 38, 8, 18 and 40? (a) 38 (b) 18 (c) 32 (d) 8
  4. 4.What is the median of 25, 17, 28, 6 and 39? (a) 23 (b) 28 (c) 17 (d) 25
  5. 5.What is the mean of 18, 12, 18 and 20? (a) 18 (b) 16 (c) 19 (d) 17
  6. 6.What is the median of 11, 2, 38, 35 and 14? (a) 14 (b) 20 (c) 35 (d) 38
  7. 7.The mean of 4 numbers is 26. When the number 6 is added to them, what is the new mean? (a) 16 (b) 23 (c) 22 (d) 26
  8. 8.What is the mean of 5, 7, 5, 10, 14 and 13? (a) 8 (b) 11 (c) 9 (d) 10
  9. 9.What is the mode of 1, 11, 10, 14, 14, 14 and 11? (a) 11 (b) 10 (c) 14 (d) 1
  10. 10.What is the mean of 18, 11, 12, 9 and 5? (a) 11 (b) 10 (c) 12 (d) 13
  11. 11.The mean of 4 numbers is 14. When the number 24 is added to them, what is the new mean? (a) 16 (b) 17 (c) 14 (d) 19
  12. 12.What is the mean of 17, 14, 17, 15 and 7? (a) 13 (b) 15 (c) 16 (d) 14
  13. 13.What is the mean of 2, 4, 20, 8, 13 and 7? (a) 8 (b) 10 (c) 11 (d) 9
  14. 14.What is the mean of 10, 14, 11 and 5? (a) 8 (b) 9 (c) 11 (d) 10
  15. 15.What is the mean of 12, 7, 7, 7, 12 and 15? (a) 9 (b) 12 (c) 11 (d) 10
  16. 16.What is the median of 5, 18, 19, 34, 1, 7 and 23? (a) 18 (b) 34 (c) 19 (d) 7
  17. 17.What is the median of 10, 1, 7, 26 and 24? (a) 10 (b) 24 (c) 11 (d) 7
  18. 18.What is the mode of 7, 12, 8, 12, 7, 16 and 12? (a) 12 (b) 7 (c) 16 (d) 8
  19. 19.What is the median of 24, 21, 37, 39, 33, 26 and 5? (a) 39 (b) 33 (c) 24 (d) 26
  20. 20.What is the mean of 8, 19, 5 and 8? (a) 9 (b) 8 (c) 11 (d) 10
  21. 21.What is the mean of 14, 5, 4, 8, 7 and 4? (a) 7 (b) 8 (c) 6 (d) 9
  22. 22.What is the mode of 18, 5, 5, 18, 10, 18 and 14? (a) 14 (b) 5 (c) 10 (d) 18
  23. 23.The mean of 3 numbers is 22. When the number 6 is added to them, what is the new mean? (a) 22 (b) 14 (c) 18 (d) 19
  24. 24.What is the mean of 10, 5, 7, 8, 4 and 14? (a) 8 (b) 10 (c) 7 (d) 9
  25. 25.What is the mean of 4, 2, 12 and 10? (a) 6 (b) 8 (c) 9 (d) 7
  26. 26.What is the median of 13, 39, 4, 21 and 18? (a) 4 (b) 21 (c) 19 (d) 18
  27. 27.What is the median of 28, 11, 39, 40 and 18? (a) 29 (b) 39 (c) 28 (d) 18
  28. 28.What is the median of 13, 40, 5, 23 and 33? (a) 33 (b) 13 (c) 23 (d) 5
  29. 29.What is the median of 18, 29, 35, 28 and 13? (a) 29 (b) 35 (c) 18 (d) 28
  30. 30.What is the mean of 19, 4, 16, 2, 2 and 5? (a) 9 (b) 8 (c) 7 (d) 10
  31. 31.What is the mode of 8, 8, 8, 18, 20, 18 and 14? (a) 20 (b) 14 (c) 18 (d) 8
  32. 32.What is the mean of 19, 11, 7, 19, 3 and 19? (a) 15 (b) 14 (c) 13 (d) 12
  33. 33.What is the median of 2, 23, 35, 38, 33, 39 and 19? (a) 27 (b) 38 (c) 35 (d) 33
  34. 34.What is the mean of 10, 2, 10, 20 and 8? (a) 12 (b) 9 (c) 11 (d) 10
  35. 35.The mean of 4 numbers is 37. When the number 52 is added to them, what is the new mean? (a) 39 (b) 40 (c) 37 (d) 41
  36. 36.What is the mean of 19, 12, 13, 5 and 21? (a) 16 (b) 14 (c) 15 (d) 13
  37. 37.The mean of 8 numbers is 16. When the number 7 is added to them, what is the new mean? (a) 15 (b) 14 (c) 16 (d) 17
  38. 38.The mean of 4 numbers is 36. When the number 26 is added to them, what is the new mean? (a) 35 (b) 31 (c) 34 (d) 36
  39. 39.What is the mode of 1, 16, 1, 12, 9, 9 and 9? (a) 16 (b) 1 (c) 9 (d) 12
  40. 40.What is the mean of 17, 19, 3 and 9? (a) 12 (b) 11 (c) 13 (d) 16

Answer key

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

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