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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 554 · 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 19, 5, 8 and 16? (a) 12 (b) 16 (c) 13 (d) 11
  2. 2.What is the mean of 12, 9, 17, 7 and 10? (a) 10 (b) 12 (c) 11 (d) 13
  3. 3.What is the mode of 13, 16, 10, 6, 16, 13 and 16? (a) 6 (b) 13 (c) 10 (d) 16
  4. 4.What is the median of 18, 38, 11, 20 and 29? (a) 29 (b) 20 (c) 18 (d) 11
  5. 5.The mean of 4 numbers is 33. When the number 23 is added to them, what is the new mean? (a) 28 (b) 33 (c) 32 (d) 31
  6. 6.What is the mean of 14, 18, 2, 16, 19 and 15? (a) 15 (b) 12 (c) 13 (d) 14
  7. 7.What is the median of 7, 14, 27, 18 and 31? (a) 19 (b) 14 (c) 18 (d) 27
  8. 8.The mean of 7 numbers is 18. When the number 26 is added to them, what is the new mean? (a) 19 (b) 20 (c) 22 (d) 18
  9. 9.The mean of 9 numbers is 30. When the number 60 is added to them, what is the new mean? (a) 45 (b) 30 (c) 33 (d) 34
  10. 10.What is the mean of 11, 3, 17, 6, 7 and 22? (a) 10 (b) 11 (c) 13 (d) 12
  11. 11.The mean of 5 numbers is 25. When the number 13 is added to them, what is the new mean? (a) 19 (b) 24 (c) 25 (d) 23
  12. 12.The mean of 4 numbers is 36. When the number 21 is added to them, what is the new mean? (a) 34 (b) 33 (c) 36 (d) 32
  13. 13.What is the median of 7, 23, 11, 6 and 40? (a) 12 (b) 11 (c) 7 (d) 23
  14. 14.What is the median of 8, 40, 29, 36 and 39? (a) 29 (b) 39 (c) 37 (d) 36
  15. 15.What is the median of 9, 25, 11, 8 and 10? (a) 10 (b) 9 (c) 12 (d) 11
  16. 16.The mean of 5 numbers is 26. When the number 8 is added to them, what is the new mean? (a) 17 (b) 23 (c) 24 (d) 26
  17. 17.The mean of 4 numbers is 27. When the number 42 is added to them, what is the new mean? (a) 31 (b) 27 (c) 29 (d) 30
  18. 18.What is the mode of 3, 4, 4, 6, 17, 3 and 3? (a) 4 (b) 6 (c) 3 (d) 17
  19. 19.What is the mean of 17, 10, 6 and 19? (a) 14 (b) 15 (c) 12 (d) 13
  20. 20.What is the mode of 16, 16, 10, 10, 16, 19 and 15? (a) 19 (b) 16 (c) 15 (d) 10
  21. 21.What is the median of 11, 21, 25, 9 and 27? (a) 21 (b) 22 (c) 25 (d) 11
  22. 22.What is the mean of 4, 19, 10, 9, 13 and 17? (a) 11 (b) 12 (c) 14 (d) 13
  23. 23.What is the mode of 2, 8, 8, 15, 20, 2 and 2? (a) 15 (b) 8 (c) 20 (d) 2
  24. 24.What is the mean of 13, 7, 2, 2, 14 and 22? (a) 10 (b) 9 (c) 12 (d) 11
  25. 25.What is the median of 1, 25, 7, 34 and 4? (a) 25 (b) 8 (c) 7 (d) 4
  26. 26.What is the mode of 9, 10, 8, 8, 1, 8 and 1? (a) 8 (b) 9 (c) 10 (d) 1
  27. 27.What is the mode of 7, 15, 14, 14, 7, 3 and 7? (a) 14 (b) 7 (c) 15 (d) 3
  28. 28.What is the mode of 19, 19, 3, 3, 2, 1 and 3? (a) 3 (b) 2 (c) 19 (d) 1
  29. 29.The mean of 3 numbers is 39. When the number 51 is added to them, what is the new mean? (a) 42 (b) 39 (c) 43 (d) 45
  30. 30.What is the mode of 1, 1, 2, 4, 1, 17 and 17? (a) 1 (b) 4 (c) 2 (d) 17
  31. 31.What is the mean of 18, 15, 4, 4, 4 and 9? (a) 10 (b) 8 (c) 11 (d) 9
  32. 32.What is the mean of 13, 12, 8 and 7? (a) 11 (b) 9 (c) 8 (d) 10
  33. 33.What is the median of 27, 30, 28, 22 and 2? (a) 27 (b) 28 (c) 26 (d) 22
  34. 34.What is the mean of 12, 11, 6 and 11? (a) 11 (b) 10 (c) 9 (d) 8
  35. 35.What is the mean of 20, 10, 18 and 8? (a) 16 (b) 13 (c) 15 (d) 14
  36. 36.What is the median of 6, 21, 32, 14, 4, 35 and 37? (a) 14 (b) 22 (c) 32 (d) 21
  37. 37.What is the mean of 19, 14, 13 and 6? (a) 13 (b) 15 (c) 14 (d) 12
  38. 38.The mean of 8 numbers is 33. When the number 24 is added to them, what is the new mean? (a) 33 (b) 31 (c) 34 (d) 32
  39. 39.The mean of 8 numbers is 33. When the number 69 is added to them, what is the new mean? (a) 37 (b) 33 (c) 51 (d) 38
  40. 40.What is the mode of 16, 1, 1, 7, 11, 1 and 11? (a) 1 (b) 16 (c) 7 (d) 11

Answer key

  1. 12
  2. 11
  3. 16
  4. 20
  5. 31
  6. 14
  7. 18
  8. 19
  9. 33
  10. 11
  11. 23
  12. 33
  13. 11
  14. 36
  15. 10
  16. 23
  17. 30
  18. 3
  19. 13
  20. 16
  21. 21
  22. 12
  23. 2
  24. 10
  25. 7
  26. 8
  27. 7
  28. 3
  29. 42
  30. 1
  31. 9
  32. 10
  33. 27
  34. 10
  35. 14
  36. 21
  37. 13
  38. 32
  39. 37
  40. 1

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