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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 151 · 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 23. When the number 38 is added to them, what is the new mean? (a) 25 (b) 26 (c) 27 (d) 23
  2. 2.The mean of 5 numbers is 33. When the number 39 is added to them, what is the new mean? (a) 34 (b) 35 (c) 36 (d) 33
  3. 3.What is the median of 11, 24, 38, 33 and 17? (a) 38 (b) 17 (c) 24 (d) 33
  4. 4.What is the mean of 11, 9, 2 and 6? (a) 6 (b) 9 (c) 8 (d) 7
  5. 5.What is the mean of 6, 15, 4, 14, 4 and 5? (a) 9 (b) 10 (c) 8 (d) 7
  6. 6.What is the mean of 15, 16, 15 and 14? (a) 15 (b) 20 (c) 16 (d) 12
  7. 7.What is the median of 35, 19, 4, 1, 12, 21 and 31? (a) 1 (b) 12 (c) 21 (d) 19
  8. 8.The mean of 5 numbers is 38. When the number 44 is added to them, what is the new mean? (a) 41 (b) 38 (c) 39 (d) 40
  9. 9.The mean of 8 numbers is 10. When the number 1 is added to them, what is the new mean? (a) 10 (b) 9 (c) 11 (d) 8
  10. 10.What is the mode of 3, 9, 9, 13, 9, 3 and 15? (a) 3 (b) 15 (c) 9 (d) 13
  11. 11.What is the median of 10, 27, 30, 36, 8, 32 and 19? (a) 19 (b) 36 (c) 27 (d) 30
  12. 12.What is the median of 12, 1, 8, 25 and 19? (a) 13 (b) 8 (c) 19 (d) 12
  13. 13.What is the median of 39, 24, 33, 11 and 1? (a) 11 (b) 24 (c) 33 (d) 25
  14. 14.The mean of 7 numbers is 39. When the number 7 is added to them, what is the new mean? (a) 36 (b) 39 (c) 35 (d) 23
  15. 15.What is the median of 2, 3, 15, 19, 23, 6 and 28? (a) 16 (b) 6 (c) 15 (d) 19
  16. 16.What is the median of 9, 20, 36, 16, 35, 25 and 5? (a) 20 (b) 16 (c) 25 (d) 21
  17. 17.The mean of 8 numbers is 28. When the number 37 is added to them, what is the new mean? (a) 28 (b) 31 (c) 30 (d) 29
  18. 18.What is the mean of 18, 3, 20, 19, 5 and 7? (a) 11 (b) 12 (c) 14 (d) 13
  19. 19.What is the mean of 10, 10, 19 and 13? (a) 14 (b) 13 (c) 15 (d) 12
  20. 20.The mean of 5 numbers is 11. When the number 29 is added to them, what is the new mean? (a) 15 (b) 11 (c) 14 (d) 20
  21. 21.What is the mean of 14, 3, 14, 7 and 22? (a) 13 (b) 10 (c) 12 (d) 15
  22. 22.The mean of 4 numbers is 12. When the number 27 is added to them, what is the new mean? (a) 12 (b) 16 (c) 15 (d) 14
  23. 23.The mean of 7 numbers is 24. When the number 16 is added to them, what is the new mean? (a) 24 (b) 22 (c) 20 (d) 23
  24. 24.What is the median of 19, 10, 28, 2, 3, 9 and 11? (a) 2 (b) 9 (c) 11 (d) 10
  25. 25.What is the median of 24, 8, 34, 12, 20, 16 and 40? (a) 12 (b) 20 (c) 22 (d) 24
  26. 26.What is the mean of 13, 4, 4, 19, 16 and 16? (a) 12 (b) 13 (c) 14 (d) 11
  27. 27.What is the mode of 19, 12, 6, 11, 6, 12 and 6? (a) 6 (b) 12 (c) 19 (d) 11
  28. 28.What is the median of 24, 37, 20, 10, 11, 33 and 21? (a) 24 (b) 21 (c) 20 (d) 10
  29. 29.The mean of 5 numbers is 20. When the number 2 is added to them, what is the new mean? (a) 18 (b) 20 (c) 11 (d) 17
  30. 30.What is the median of 6, 22, 34, 19 and 24? (a) 34 (b) 22 (c) 21 (d) 24
  31. 31.The mean of 9 numbers is 19. When the number 29 is added to them, what is the new mean? (a) 19 (b) 24 (c) 21 (d) 20
  32. 32.The mean of 4 numbers is 15. When the number 10 is added to them, what is the new mean? (a) 15 (b) 13 (c) 14 (d) 16
  33. 33.What is the mean of 2, 17, 16, 17 and 23? (a) 14 (b) 15 (c) 17 (d) 16
  34. 34.What is the mean of 3, 5, 14, 14, 18 and 18? (a) 12 (b) 13 (c) 14 (d) 11
  35. 35.The mean of 8 numbers is 22. When the number 13 is added to them, what is the new mean? (a) 20 (b) 21 (c) 23 (d) 22
  36. 36.What is the mean of 7, 17, 9, 3 and 19? (a) 10 (b) 12 (c) 11 (d) 13
  37. 37.The mean of 4 numbers is 17. When the number 2 is added to them, what is the new mean? (a) 14 (b) 13 (c) 17 (d) 15
  38. 38.What is the mode of 3, 13, 3, 19, 8, 8 and 8? (a) 8 (b) 19 (c) 3 (d) 13
  39. 39.What is the mean of 10, 11, 14, 4 and 11? (a) 12 (b) 11 (c) 10 (d) 9
  40. 40.What is the mean of 7, 3, 17, 12, 14 and 19? (a) 11 (b) 14 (c) 13 (d) 12

Answer key

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

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