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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 377 · 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 9 numbers is 38. When the number 78 is added to them, what is the new mean? (a) 58 (b) 38 (c) 42 (d) 43
  2. 2.The mean of 9 numbers is 40. When the number 20 is added to them, what is the new mean? (a) 39 (b) 40 (c) 30 (d) 38
  3. 3.What is the mean of 10, 11, 11, 5 and 8? (a) 10 (b) 11 (c) 9 (d) 8
  4. 4.What is the mean of 15, 16, 16, 8 and 15? (a) 15 (b) 14 (c) 13 (d) 16
  5. 5.The mean of 4 numbers is 40. When the number 35 is added to them, what is the new mean? (a) 40 (b) 41 (c) 39 (d) 38
  6. 6.What is the median of 6, 12, 2, 26, 34, 18 and 23? (a) 12 (b) 18 (c) 23 (d) 26
  7. 7.What is the mean of 19, 16, 7, 14 and 4? (a) 10 (b) 12 (c) 15 (d) 13
  8. 8.What is the mean of 13, 18, 13 and 16? (a) 20 (b) 16 (c) 15 (d) 12
  9. 9.What is the mode of 9, 16, 16, 16, 19, 8 and 9? (a) 9 (b) 8 (c) 16 (d) 19
  10. 10.What is the mode of 3, 1, 1, 1, 15, 12 and 3? (a) 1 (b) 3 (c) 15 (d) 12
  11. 11.What is the mean of 9, 16, 16, 8 and 6? (a) 10 (b) 12 (c) 13 (d) 11
  12. 12.The mean of 5 numbers is 29. When the number 53 is added to them, what is the new mean? (a) 29 (b) 34 (c) 41 (d) 33
  13. 13.The mean of 9 numbers is 28. When the number 48 is added to them, what is the new mean? (a) 28 (b) 38 (c) 30 (d) 31
  14. 14.What is the median of 37, 33, 6, 7 and 4? (a) 6 (b) 8 (c) 7 (d) 33
  15. 15.The mean of 7 numbers is 29. When the number 45 is added to them, what is the new mean? (a) 31 (b) 29 (c) 32 (d) 37
  16. 16.What is the mean of 13, 17, 8, 9 and 3? (a) 10 (b) 9 (c) 11 (d) 12
  17. 17.What is the mean of 6, 10, 12 and 12? (a) 9 (b) 11 (c) 8 (d) 10
  18. 18.The mean of 4 numbers is 26. When the number 11 is added to them, what is the new mean? (a) 24 (b) 22 (c) 23 (d) 26
  19. 19.What is the mean of 20, 5, 14, 5, 16 and 6? (a) 12 (b) 10 (c) 13 (d) 11
  20. 20.What is the median of 17, 16, 27, 9 and 29? (a) 27 (b) 18 (c) 17 (d) 16
  21. 21.What is the median of 35, 8, 34, 5 and 9? (a) 8 (b) 10 (c) 34 (d) 9
  22. 22.What is the median of 17, 13, 3, 21 and 26? (a) 3 (b) 21 (c) 16 (d) 17
  23. 23.What is the mean of 12, 2, 12, 14 and 20? (a) 13 (b) 10 (c) 15 (d) 12
  24. 24.What is the median of 27, 23, 35, 1 and 17? (a) 27 (b) 23 (c) 35 (d) 17
  25. 25.What is the mean of 11, 18, 16 and 23? (a) 19 (b) 16 (c) 17 (d) 18
  26. 26.The mean of 3 numbers is 16. When the number 28 is added to them, what is the new mean? (a) 20 (b) 19 (c) 22 (d) 16
  27. 27.The mean of 8 numbers is 34. When the number 43 is added to them, what is the new mean? (a) 34 (b) 36 (c) 37 (d) 35
  28. 28.What is the mean of 7, 14, 15, 9 and 5? (a) 12 (b) 9 (c) 11 (d) 10
  29. 29.The mean of 7 numbers is 37. When the number 45 is added to them, what is the new mean? (a) 41 (b) 38 (c) 39 (d) 37
  30. 30.What is the mode of 5, 17, 1, 1, 3, 5 and 1? (a) 3 (b) 5 (c) 1 (d) 17
  31. 31.What is the mode of 15, 20, 9, 15, 20, 18 and 15? (a) 20 (b) 9 (c) 18 (d) 15
  32. 32.The mean of 3 numbers is 24. When the number 12 is added to them, what is the new mean? (a) 21 (b) 18 (c) 24 (d) 22
  33. 33.The mean of 7 numbers is 25. When the number 9 is added to them, what is the new mean? (a) 23 (b) 17 (c) 25 (d) 24
  34. 34.What is the mode of 5, 7, 8, 13, 5, 5 and 13? (a) 5 (b) 7 (c) 13 (d) 8
  35. 35.The mean of 6 numbers is 28. When the number 56 is added to them, what is the new mean? (a) 32 (b) 33 (c) 28 (d) 42
  36. 36.The mean of 6 numbers is 17. When the number 24 is added to them, what is the new mean? (a) 18 (b) 19 (c) 20 (d) 17
  37. 37.What is the median of 17, 37, 35, 11 and 22? (a) 23 (b) 17 (c) 22 (d) 35
  38. 38.What is the mean of 7, 8, 2 and 19? (a) 10 (b) 9 (c) 8 (d) 12
  39. 39.What is the median of 32, 31, 4, 7, 12, 19 and 30? (a) 19 (b) 12 (c) 7 (d) 30
  40. 40.What is the mean of 11, 18, 13, 4, 6 and 14? (a) 11 (b) 10 (c) 13 (d) 12

Answer key

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

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