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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 45 · 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 3, 11, 14, 16, 5 and 5? (a) 9 (b) 8 (c) 11 (d) 10
  2. 2.What is the mean of 3, 13, 13, 16 and 10? (a) 12 (b) 10 (c) 13 (d) 11
  3. 3.What is the mean of 6, 12, 13, 16, 15 and 10? (a) 11 (b) 13 (c) 12 (d) 14
  4. 4.The mean of 7 numbers is 18. When the number 50 is added to them, what is the new mean? (a) 34 (b) 23 (c) 22 (d) 18
  5. 5.The mean of 5 numbers is 31. When the number 43 is added to them, what is the new mean? (a) 37 (b) 34 (c) 31 (d) 33
  6. 6.What is the median of 31, 20, 8, 32 and 9? (a) 8 (b) 9 (c) 20 (d) 31
  7. 7.The mean of 4 numbers is 14. When the number 4 is added to them, what is the new mean? (a) 14 (b) 13 (c) 9 (d) 12
  8. 8.What is the mean of 15, 20, 11 and 14? (a) 20 (b) 15 (c) 16 (d) 12
  9. 9.What is the mode of 18, 8, 8, 12, 18, 8 and 4? (a) 4 (b) 18 (c) 12 (d) 8
  10. 10.What is the median of 38, 13, 24, 28, 1, 2 and 5? (a) 24 (b) 13 (c) 28 (d) 5
  11. 11.What is the mean of 16, 14, 16, 5 and 9? (a) 10 (b) 12 (c) 13 (d) 15
  12. 12.What is the mode of 4, 15, 19, 3, 15, 19 and 19? (a) 19 (b) 15 (c) 3 (d) 4
  13. 13.What is the median of 39, 8, 25, 15 and 1? (a) 25 (b) 8 (c) 15 (d) 16
  14. 14.What is the median of 30, 16, 3, 8 and 1? (a) 3 (b) 8 (c) 16 (d) 9
  15. 15.What is the mean of 7, 3, 5 and 21? (a) 10 (b) 12 (c) 9 (d) 8
  16. 16.What is the median of 11, 34, 23, 30 and 14? (a) 24 (b) 14 (c) 30 (d) 23
  17. 17.What is the median of 13, 37, 27, 8, 18, 23 and 33? (a) 27 (b) 8 (c) 18 (d) 23
  18. 18.What is the mode of 3, 1, 11, 3, 1, 1 and 9? (a) 11 (b) 3 (c) 9 (d) 1
  19. 19.What is the mode of 5, 5, 8, 9, 5, 16 and 16? (a) 16 (b) 9 (c) 5 (d) 8
  20. 20.What is the mode of 1, 4, 1, 8, 7, 1 and 8? (a) 7 (b) 8 (c) 4 (d) 1
  21. 21.What is the mean of 8, 20, 16, 19 and 22? (a) 18 (b) 19 (c) 17 (d) 16
  22. 22.The mean of 3 numbers is 25. When the number 29 is added to them, what is the new mean? (a) 25 (b) 26 (c) 28 (d) 27
  23. 23.The mean of 5 numbers is 10. When the number 28 is added to them, what is the new mean? (a) 19 (b) 14 (c) 10 (d) 13
  24. 24.What is the mode of 15, 15, 7, 15, 6, 14 and 6? (a) 6 (b) 14 (c) 15 (d) 7
  25. 25.What is the mode of 17, 17, 15, 4, 15, 15 and 6? (a) 4 (b) 15 (c) 17 (d) 6
  26. 26.What is the median of 18, 32, 11, 7, 22, 12 and 9? (a) 7 (b) 11 (c) 18 (d) 12
  27. 27.What is the median of 12, 5, 37, 15 and 28? (a) 15 (b) 37 (c) 12 (d) 28
  28. 28.What is the median of 13, 29, 3, 16 and 9? (a) 3 (b) 13 (c) 14 (d) 16
  29. 29.What is the mean of 7, 5, 5 and 11? (a) 7 (b) 6 (c) 8 (d) 9
  30. 30.What is the median of 28, 2, 27, 26 and 9? (a) 27 (b) 26 (c) 9 (d) 25
  31. 31.What is the mean of 14, 16, 10 and 20? (a) 15 (b) 12 (c) 16 (d) 20
  32. 32.What is the median of 12, 23, 18, 16 and 4? (a) 18 (b) 12 (c) 16 (d) 17
  33. 33.What is the mean of 20, 19, 12, 19 and 10? (a) 17 (b) 20 (c) 15 (d) 16
  34. 34.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
  35. 35.The mean of 8 numbers is 31. When the number 40 is added to them, what is the new mean? (a) 32 (b) 31 (c) 34 (d) 33
  36. 36.What is the median of 11, 5, 23, 10 and 14? (a) 23 (b) 14 (c) 10 (d) 11
  37. 37.What is the median of 23, 1, 32, 14 and 13? (a) 23 (b) 32 (c) 14 (d) 13
  38. 38.What is the median of 26, 29, 20, 34 and 33? (a) 33 (b) 20 (c) 26 (d) 29
  39. 39.What is the mode of 18, 1, 1, 16, 17, 17 and 17? (a) 18 (b) 16 (c) 1 (d) 17
  40. 40.What is the mode of 19, 17, 19, 12, 12, 10 and 19? (a) 10 (b) 17 (c) 19 (d) 12

Answer key

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

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