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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 882 · 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 2, 17, 13, 2 and 21? (a) 13 (b) 11 (c) 10 (d) 12
  2. 2.What is the median of 13, 17, 6, 1, 30, 14 and 22? (a) 17 (b) 14 (c) 13 (d) 1
  3. 3.What is the median of 31, 9, 28, 5 and 21? (a) 9 (b) 28 (c) 21 (d) 22
  4. 4.What is the mode of 19, 12, 18, 18, 16, 16 and 16? (a) 18 (b) 19 (c) 12 (d) 16
  5. 5.The mean of 8 numbers is 21. When the number 48 is added to them, what is the new mean? (a) 21 (b) 23 (c) 25 (d) 24
  6. 6.The mean of 4 numbers is 31. When the number 21 is added to them, what is the new mean? (a) 31 (b) 30 (c) 29 (d) 26
  7. 7.What is the mean of 8, 9, 3, 6, 13 and 9? (a) 8 (b) 7 (c) 10 (d) 9
  8. 8.What is the mode of 15, 10, 17, 15, 18, 15 and 18? (a) 18 (b) 15 (c) 10 (d) 17
  9. 9.What is the median of 7, 1, 32, 20, 35, 22 and 40? (a) 23 (b) 32 (c) 22 (d) 20
  10. 10.What is the mean of 19, 10, 8, 8, 2 and 7? (a) 8 (b) 11 (c) 10 (d) 9
  11. 11.What is the mean of 6, 11, 18, 18 and 12? (a) 13 (b) 12 (c) 14 (d) 15
  12. 12.What is the median of 19, 11, 3, 5 and 1? (a) 5 (b) 11 (c) 3 (d) 6
  13. 13.The mean of 3 numbers is 17. When the number 29 is added to them, what is the new mean? (a) 20 (b) 21 (c) 17 (d) 23
  14. 14.What is the median of 18, 12, 8, 11 and 14? (a) 11 (b) 8 (c) 14 (d) 12
  15. 15.What is the mean of 10, 18, 14, 2 and 6? (a) 11 (b) 12 (c) 10 (d) 9
  16. 16.The mean of 5 numbers is 21. When the number 45 is added to them, what is the new mean? (a) 21 (b) 25 (c) 26 (d) 33
  17. 17.What is the median of 37, 40, 29, 17, 36, 8 and 33? (a) 29 (b) 17 (c) 36 (d) 33
  18. 18.What is the median of 17, 31, 6, 16, 3, 15 and 21? (a) 17 (b) 18 (c) 15 (d) 16
  19. 19.What is the median of 4, 19, 37, 21 and 33? (a) 37 (b) 21 (c) 33 (d) 19
  20. 20.What is the mode of 19, 20, 19, 20, 9, 20 and 10? (a) 19 (b) 9 (c) 10 (d) 20
  21. 21.The mean of 7 numbers is 38. When the number 6 is added to them, what is the new mean? (a) 38 (b) 35 (c) 22 (d) 34
  22. 22.What is the mode of 15, 1, 12, 1, 1, 6 and 12? (a) 1 (b) 6 (c) 15 (d) 12
  23. 23.What is the mode of 7, 16, 16, 19, 2, 19 and 16? (a) 2 (b) 7 (c) 16 (d) 19
  24. 24.The mean of 4 numbers is 15. When the number 35 is added to them, what is the new mean? (a) 25 (b) 19 (c) 15 (d) 20
  25. 25.What is the mean of 4, 12, 6, 2, 20 and 16? (a) 12 (b) 10 (c) 9 (d) 11
  26. 26.What is the median of 8, 12, 6, 9, 10, 26 and 28? (a) 9 (b) 11 (c) 12 (d) 10
  27. 27.The mean of 6 numbers is 16. When the number 23 is added to them, what is the new mean? (a) 16 (b) 18 (c) 17 (d) 19
  28. 28.What is the mode of 2, 16, 20, 14, 20, 20 and 2? (a) 2 (b) 20 (c) 14 (d) 16
  29. 29.What is the mode of 12, 12, 6, 6, 1, 12 and 15? (a) 12 (b) 15 (c) 6 (d) 1
  30. 30.The mean of 3 numbers is 27. When the number 15 is added to them, what is the new mean? (a) 25 (b) 27 (c) 24 (d) 21
  31. 31.What is the median of 11, 26, 36, 6, 19, 1 and 13? (a) 16 (b) 6 (c) 13 (d) 19
  32. 32.What is the mean of 13, 3, 9, 19, 12 and 4? (a) 11 (b) 9 (c) 12 (d) 10
  33. 33.What is the mean of 12, 11, 17 and 4? (a) 13 (b) 12 (c) 10 (d) 11
  34. 34.What is the mean of 20, 7, 6, 18 and 14? (a) 15 (b) 13 (c) 14 (d) 12
  35. 35.What is the mode of 2, 12, 10, 7, 10, 10 and 2? (a) 2 (b) 7 (c) 10 (d) 12
  36. 36.What is the median of 40, 28, 25, 21 and 33? (a) 29 (b) 25 (c) 28 (d) 33
  37. 37.What is the median of 6, 7, 21, 29 and 17? (a) 21 (b) 16 (c) 17 (d) 7
  38. 38.What is the mean of 11, 12, 6 and 19? (a) 13 (b) 12 (c) 16 (d) 11
  39. 39.What is the median of 37, 25, 29, 17 and 10? (a) 25 (b) 26 (c) 29 (d) 17
  40. 40.What is the median of 15, 20, 4, 39 and 38? (a) 15 (b) 38 (c) 20 (d) 4

Answer key

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

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