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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 733 · 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 4 numbers is 32. When the number 47 is added to them, what is the new mean? (a) 32 (b) 34 (c) 36 (d) 35
  2. 2.The mean of 8 numbers is 18. When the number 27 is added to them, what is the new mean? (a) 20 (b) 18 (c) 21 (d) 19
  3. 3.What is the median of 8, 2, 17, 35 and 6? (a) 6 (b) 17 (c) 8 (d) 9
  4. 4.What is the median of 7, 15, 16, 11 and 8? (a) 11 (b) 15 (c) 16 (d) 8
  5. 5.What is the mean of 5, 14, 15 and 14? (a) 13 (b) 11 (c) 16 (d) 12
  6. 6.The mean of 3 numbers is 19. When the number 15 is added to them, what is the new mean? (a) 17 (b) 20 (c) 19 (d) 18
  7. 7.What is the median of 10, 30, 13, 21 and 14? (a) 15 (b) 14 (c) 21 (d) 13
  8. 8.What is the mode of 17, 3, 18, 15, 15, 15 and 3? (a) 15 (b) 3 (c) 18 (d) 17
  9. 9.The mean of 5 numbers is 19. When the number 31 is added to them, what is the new mean? (a) 22 (b) 21 (c) 19 (d) 25
  10. 10.What is the mode of 16, 5, 19, 19, 16, 18 and 19? (a) 19 (b) 18 (c) 5 (d) 16
  11. 11.The mean of 9 numbers is 19. When the number 39 is added to them, what is the new mean? (a) 22 (b) 29 (c) 19 (d) 21
  12. 12.What is the mode of 12, 1, 1, 12, 4, 5 and 1? (a) 4 (b) 12 (c) 5 (d) 1
  13. 13.The mean of 7 numbers is 36. When the number 20 is added to them, what is the new mean? (a) 36 (b) 28 (c) 35 (d) 34
  14. 14.What is the mode of 13, 17, 16, 4, 4, 16 and 16? (a) 4 (b) 13 (c) 16 (d) 17
  15. 15.What is the median of 20, 14, 10, 29, 32, 8 and 6? (a) 17 (b) 20 (c) 14 (d) 29
  16. 16.What is the mode of 16, 16, 8, 4, 4, 4 and 2? (a) 16 (b) 4 (c) 8 (d) 2
  17. 17.What is the mean of 4, 20, 12, 13, 19 and 22? (a) 18 (b) 16 (c) 15 (d) 14
  18. 18.What is the mean of 14, 13, 11 and 10? (a) 12 (b) 11 (c) 13 (d) 16
  19. 19.What is the median of 7, 6, 36, 10, 24, 19 and 2? (a) 10 (b) 11 (c) 7 (d) 19
  20. 20.What is the mean of 9, 20, 14 and 17? (a) 15 (b) 12 (c) 20 (d) 16
  21. 21.The mean of 3 numbers is 34. When the number 30 is added to them, what is the new mean? (a) 35 (b) 32 (c) 34 (d) 33
  22. 22.The mean of 5 numbers is 30. When the number 12 is added to them, what is the new mean? (a) 30 (b) 28 (c) 27 (d) 21
  23. 23.What is the median of 34, 33, 15, 4 and 36? (a) 33 (b) 34 (c) 32 (d) 15
  24. 24.What is the median of 34, 20, 26, 35 and 31? (a) 32 (b) 31 (c) 34 (d) 26
  25. 25.What is the median of 19, 15, 13, 32 and 28? (a) 13 (b) 28 (c) 15 (d) 19
  26. 26.What is the mean of 18, 16, 18, 11, 7 and 20? (a) 18 (b) 14 (c) 15 (d) 16
  27. 27.What is the mode of 7, 19, 5, 7, 7, 9 and 5? (a) 5 (b) 9 (c) 19 (d) 7
  28. 28.The mean of 6 numbers is 13. When the number 34 is added to them, what is the new mean? (a) 17 (b) 15 (c) 16 (d) 13
  29. 29.The mean of 4 numbers is 29. When the number 34 is added to them, what is the new mean? (a) 32 (b) 29 (c) 31 (d) 30
  30. 30.What is the mode of 2, 2, 4, 2, 10, 16 and 4? (a) 16 (b) 4 (c) 2 (d) 10
  31. 31.What is the mode of 10, 10, 13, 13, 11, 12 and 10? (a) 11 (b) 12 (c) 13 (d) 10
  32. 32.What is the mean of 8, 18, 3, 12, 11 and 2? (a) 10 (b) 8 (c) 9 (d) 11
  33. 33.What is the mode of 2, 2, 5, 7, 2, 11 and 11? (a) 5 (b) 7 (c) 2 (d) 11
  34. 34.What is the mean of 17, 17, 18, 15 and 8? (a) 17 (b) 16 (c) 14 (d) 15
  35. 35.The mean of 7 numbers is 20. When the number 36 is added to them, what is the new mean? (a) 20 (b) 28 (c) 23 (d) 22
  36. 36.What is the mode of 20, 7, 7, 7, 2, 10 and 10? (a) 2 (b) 10 (c) 20 (d) 7
  37. 37.What is the mean of 7, 7, 4, 7, 6 and 5? (a) 8 (b) 6 (c) 5 (d) 7
  38. 38.What is the mean of 20, 3, 4, 6, 17 and 10? (a) 12 (b) 10 (c) 11 (d) 9
  39. 39.What is the mode of 13, 4, 2, 13, 7, 7 and 7? (a) 2 (b) 4 (c) 7 (d) 13
  40. 40.What is the median of 30, 33, 35, 10 and 40? (a) 33 (b) 35 (c) 30 (d) 34

Answer key

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

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