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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 805 · 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.The mean of 7 numbers is 34. When the number 58 is added to them, what is the new mean? (a) 46 (b) 34 (c) 38 (d) 37
  2. 2.What is the mode of 19, 11, 17, 1, 1, 1 and 19? (a) 11 (b) 17 (c) 1 (d) 19
  3. 3.What is the mean of 3, 10, 7, 11 and 9? (a) 8 (b) 9 (c) 7 (d) 10
  4. 4.What is the mode of 2, 2, 19, 7, 11, 19 and 2? (a) 11 (b) 2 (c) 7 (d) 19
  5. 5.What is the mean of 16, 11, 5 and 16? (a) 11 (b) 12 (c) 16 (d) 13
  6. 6.What is the mean of 2, 4, 5, 3 and 21? (a) 6 (b) 8 (c) 9 (d) 7
  7. 7.The mean of 4 numbers is 18. When the number 8 is added to them, what is the new mean? (a) 17 (b) 18 (c) 16 (d) 13
  8. 8.What is the median of 35, 34, 17, 13 and 25? (a) 17 (b) 25 (c) 34 (d) 26
  9. 9.What is the mode of 12, 19, 7, 12, 12, 14 and 7? (a) 19 (b) 14 (c) 12 (d) 7
  10. 10.What is the mean of 3, 19, 4 and 22? (a) 12 (b) 13 (c) 11 (d) 16
  11. 11.The mean of 4 numbers is 40. When the number 30 is added to them, what is the new mean? (a) 35 (b) 39 (c) 40 (d) 38
  12. 12.What is the mode of 9, 19, 11, 11, 6, 6 and 11? (a) 6 (b) 9 (c) 11 (d) 19
  13. 13.The mean of 6 numbers is 18. When the number 32 is added to them, what is the new mean? (a) 25 (b) 20 (c) 18 (d) 21
  14. 14.The mean of 3 numbers is 17. When the number 13 is added to them, what is the new mean? (a) 16 (b) 18 (c) 17 (d) 15
  15. 15.What is the mean of 3, 8, 3, 14, 4 and 10? (a) 6 (b) 8 (c) 9 (d) 7
  16. 16.What is the mode of 10, 16, 18, 18, 6, 10 and 18? (a) 10 (b) 6 (c) 16 (d) 18
  17. 17.What is the mean of 20, 20, 9 and 3? (a) 13 (b) 15 (c) 14 (d) 12
  18. 18.What is the mean of 6, 9, 2 and 7? (a) 5 (b) 7 (c) 6 (d) 8
  19. 19.What is the mean of 3, 6, 6, 14, 20 and 23? (a) 13 (b) 14 (c) 11 (d) 12
  20. 20.What is the mode of 15, 6, 7, 15, 6, 6 and 20? (a) 6 (b) 15 (c) 7 (d) 20
  21. 21.What is the median of 40, 17, 15, 25 and 29? (a) 17 (b) 25 (c) 15 (d) 29
  22. 22.What is the mean of 12, 6, 14, 10, 11 and 19? (a) 11 (b) 12 (c) 14 (d) 13
  23. 23.What is the median of 35, 20, 16, 32, 10, 39 and 21? (a) 22 (b) 21 (c) 20 (d) 32
  24. 24.What is the mode of 7, 3, 7, 3, 17, 15 and 7? (a) 3 (b) 15 (c) 7 (d) 17
  25. 25.What is the mode of 19, 6, 19, 13, 13, 19 and 8? (a) 13 (b) 6 (c) 19 (d) 8
  26. 26.The mean of 6 numbers is 32. When the number 53 is added to them, what is the new mean? (a) 35 (b) 32 (c) 36 (d) 34
  27. 27.The mean of 7 numbers is 19. When the number 11 is added to them, what is the new mean? (a) 19 (b) 18 (c) 17 (d) 15
  28. 28.What is the median of 1, 12, 18, 35 and 19? (a) 17 (b) 18 (c) 12 (d) 19
  29. 29.What is the mode of 11, 4, 4, 7, 3, 11 and 11? (a) 3 (b) 7 (c) 4 (d) 11
  30. 30.What is the median of 12, 40, 39, 3 and 30? (a) 30 (b) 39 (c) 12 (d) 31
  31. 31.What is the mean of 2, 11, 7, 18 and 12? (a) 11 (b) 9 (c) 10 (d) 12
  32. 32.What is the median of 1, 21, 29, 26, 33, 25 and 37? (a) 25 (b) 27 (c) 26 (d) 29
  33. 33.What is the mode of 16, 1, 1, 16, 5, 1 and 17? (a) 5 (b) 16 (c) 1 (d) 17
  34. 34.What is the median of 22, 12, 19, 32 and 2? (a) 20 (b) 22 (c) 19 (d) 12
  35. 35.The mean of 3 numbers is 27. When the number 19 is added to them, what is the new mean? (a) 26 (b) 27 (c) 25 (d) 23
  36. 36.The mean of 7 numbers is 33. When the number 25 is added to them, what is the new mean? (a) 29 (b) 31 (c) 32 (d) 33
  37. 37.What is the median of 1, 6, 3, 33 and 11? (a) 3 (b) 11 (c) 7 (d) 6
  38. 38.What is the mean of 19, 10, 15, 15, 20 and 11? (a) 15 (b) 16 (c) 14 (d) 18
  39. 39.What is the median of 39, 25, 21, 20 and 30? (a) 25 (b) 30 (c) 27 (d) 21
  40. 40.What is the mean of 3, 18, 19 and 8? (a) 12 (b) 11 (c) 16 (d) 13

Answer key

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

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