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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 282 · 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 16, 7, 16, 11, 7, 20 and 16? (a) 11 (b) 20 (c) 7 (d) 16
  2. 2.What is the median of 7, 9, 14, 4, 6, 12 and 39? (a) 12 (b) 9 (c) 13 (d) 4
  3. 3.What is the mean of 19, 19, 18, 12, 10 and 6? (a) 14 (b) 12 (c) 13 (d) 15
  4. 4.What is the median of 15, 12, 6, 30, 35, 1 and 37? (a) 16 (b) 30 (c) 12 (d) 15
  5. 5.What is the median of 3, 30, 34, 7 and 10? (a) 34 (b) 10 (c) 30 (d) 7
  6. 6.What is the median of 16, 22, 35, 2, 4, 29 and 3? (a) 2 (b) 4 (c) 16 (d) 22
  7. 7.What is the median of 18, 37, 28, 14 and 36? (a) 29 (b) 36 (c) 18 (d) 28
  8. 8.What is the median of 24, 4, 11, 23 and 40? (a) 11 (b) 23 (c) 22 (d) 24
  9. 9.The mean of 9 numbers is 40. When the number 10 is added to them, what is the new mean? (a) 25 (b) 37 (c) 38 (d) 40
  10. 10.What is the mode of 6, 3, 12, 3, 6, 6 and 1? (a) 6 (b) 3 (c) 12 (d) 1
  11. 11.The mean of 3 numbers is 26. When the number 14 is added to them, what is the new mean? (a) 26 (b) 23 (c) 24 (d) 20
  12. 12.What is the median of 38, 16, 2, 5 and 8? (a) 8 (b) 2 (c) 16 (d) 5
  13. 13.What is the mean of 6, 10, 8 and 12? (a) 10 (b) 9 (c) 12 (d) 8
  14. 14.What is the median of 39, 16, 26, 33, 8, 4 and 36? (a) 26 (b) 33 (c) 27 (d) 16
  15. 15.What is the mean of 18, 10, 2, 12, 19 and 17? (a) 15 (b) 12 (c) 13 (d) 14
  16. 16.What is the median of 38, 22, 37, 6, 36, 24 and 34? (a) 34 (b) 36 (c) 6 (d) 24
  17. 17.What is the mode of 15, 2, 15, 4, 4, 4 and 16? (a) 15 (b) 2 (c) 16 (d) 4
  18. 18.What is the median of 37, 40, 35, 13 and 25? (a) 30 (b) 37 (c) 25 (d) 35
  19. 19.What is the mean of 20, 4, 8 and 8? (a) 11 (b) 9 (c) 8 (d) 10
  20. 20.What is the mean of 4, 15, 19 and 10? (a) 11 (b) 13 (c) 12 (d) 16
  21. 21.The mean of 7 numbers is 33. When the number 9 is added to them, what is the new mean? (a) 31 (b) 33 (c) 21 (d) 30
  22. 22.What is the mean of 19, 2, 20 and 15? (a) 15 (b) 16 (c) 13 (d) 14
  23. 23.What is the mean of 5, 5, 12 and 2? (a) 6 (b) 5 (c) 7 (d) 8
  24. 24.What is the mode of 14, 15, 4, 15, 15, 19 and 14? (a) 14 (b) 19 (c) 4 (d) 15
  25. 25.The mean of 5 numbers is 31. When the number 19 is added to them, what is the new mean? (a) 30 (b) 29 (c) 25 (d) 31
  26. 26.What is the median of 11, 10, 7, 39, 37, 13 and 38? (a) 11 (b) 13 (c) 39 (d) 37
  27. 27.The mean of 3 numbers is 10. When the number 6 is added to them, what is the new mean? (a) 9 (b) 10 (c) 8 (d) 11
  28. 28.What is the median of 1, 30, 18, 15 and 10? (a) 15 (b) 16 (c) 10 (d) 18
  29. 29.What is the median of 20, 10, 3, 26, 18, 24 and 28? (a) 24 (b) 26 (c) 18 (d) 20
  30. 30.The mean of 4 numbers is 38. When the number 53 is added to them, what is the new mean? (a) 42 (b) 40 (c) 41 (d) 38
  31. 31.What is the median of 5, 18, 16, 15, 20, 37 and 31? (a) 18 (b) 20 (c) 15 (d) 16
  32. 32.What is the median of 19, 10, 16, 7 and 17? (a) 17 (b) 16 (c) 10 (d) 15
  33. 33.The mean of 3 numbers is 31. When the number 43 is added to them, what is the new mean? (a) 37 (b) 34 (c) 31 (d) 35
  34. 34.What is the mean of 2, 16, 10, 7, 19 and 6? (a) 10 (b) 11 (c) 9 (d) 12
  35. 35.The mean of 3 numbers is 24. When the number 28 is added to them, what is the new mean? (a) 26 (b) 24 (c) 25 (d) 27
  36. 36.What is the mode of 8, 17, 3, 3, 5, 17 and 17? (a) 17 (b) 3 (c) 5 (d) 8
  37. 37.What is the median of 34, 16, 29, 12, 13, 10 and 17? (a) 12 (b) 13 (c) 16 (d) 17
  38. 38.What is the mean of 2, 5, 20, 17 and 6? (a) 11 (b) 9 (c) 10 (d) 12
  39. 39.The mean of 3 numbers is 11. When the number 7 is added to them, what is the new mean? (a) 9 (b) 11 (c) 10 (d) 12
  40. 40.What is the mean of 8, 18, 10 and 8? (a) 12 (b) 10 (c) 11 (d) 13

Answer key

  1. 16
  2. 9
  3. 14
  4. 15
  5. 10
  6. 16
  7. 28
  8. 23
  9. 37
  10. 6
  11. 23
  12. 8
  13. 9
  14. 26
  15. 13
  16. 34
  17. 4
  18. 35
  19. 10
  20. 12
  21. 30
  22. 14
  23. 6
  24. 15
  25. 29
  26. 13
  27. 9
  28. 15
  29. 20
  30. 41
  31. 18
  32. 16
  33. 34
  34. 10
  35. 25
  36. 17
  37. 16
  38. 10
  39. 10
  40. 11

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