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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 499 · 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 35. When the number 11 is added to them, what is the new mean? (a) 33 (b) 35 (c) 23 (d) 32
  2. 2.The mean of 7 numbers is 40. When the number 24 is added to them, what is the new mean? (a) 40 (b) 38 (c) 39 (d) 32
  3. 3.What is the mode of 10, 19, 12, 18, 10, 12 and 12? (a) 12 (b) 19 (c) 18 (d) 10
  4. 4.The mean of 3 numbers is 40. When the number 48 is added to them, what is the new mean? (a) 43 (b) 42 (c) 40 (d) 44
  5. 5.What is the mean of 7, 6, 9 and 6? (a) 7 (b) 8 (c) 6 (d) 9
  6. 6.What is the median of 9, 28, 1, 22, 25, 33 and 38? (a) 26 (b) 22 (c) 28 (d) 25
  7. 7.What is the mean of 10, 16, 8 and 18? (a) 13 (b) 15 (c) 14 (d) 12
  8. 8.What is the mode of 15, 9, 20, 4, 15, 9 and 15? (a) 15 (b) 9 (c) 4 (d) 20
  9. 9.What is the mean of 3, 4, 7, 14 and 7? (a) 9 (b) 6 (c) 7 (d) 8
  10. 10.What is the mode of 18, 18, 17, 10, 10, 5 and 10? (a) 18 (b) 5 (c) 10 (d) 17
  11. 11.What is the mean of 11, 17, 17, 8, 7 and 6? (a) 11 (b) 13 (c) 10 (d) 12
  12. 12.The mean of 5 numbers is 33. When the number 15 is added to them, what is the new mean? (a) 31 (b) 33 (c) 24 (d) 30
  13. 13.What is the median of 2, 15, 10, 16, 28, 19 and 13? (a) 14 (b) 13 (c) 16 (d) 15
  14. 14.What is the median of 26, 37, 11, 17 and 4? (a) 19 (b) 17 (c) 26 (d) 11
  15. 15.What is the mode of 4, 17, 6, 17, 14, 17 and 6? (a) 4 (b) 6 (c) 17 (d) 14
  16. 16.The mean of 8 numbers is 24. When the number 42 is added to them, what is the new mean? (a) 26 (b) 24 (c) 27 (d) 33
  17. 17.What is the mode of 7, 9, 7, 20, 6, 7 and 20? (a) 6 (b) 7 (c) 20 (d) 9
  18. 18.What is the mode of 14, 12, 6, 20, 12, 14 and 14? (a) 6 (b) 14 (c) 12 (d) 20
  19. 19.What is the mean of 15, 18, 20, 12, 15 and 4? (a) 12 (b) 15 (c) 14 (d) 13
  20. 20.What is the median of 11, 37, 12, 9 and 17? (a) 17 (b) 11 (c) 13 (d) 12
  21. 21.What is the median of 5, 20, 28, 36, 35, 10 and 14? (a) 14 (b) 36 (c) 20 (d) 28
  22. 22.What is the mode of 3, 9, 12, 9, 13, 13 and 13? (a) 12 (b) 3 (c) 9 (d) 13
  23. 23.The mean of 6 numbers is 35. When the number 28 is added to them, what is the new mean? (a) 35 (b) 33 (c) 34 (d) 36
  24. 24.The mean of 3 numbers is 15. When the number 31 is added to them, what is the new mean? (a) 19 (b) 15 (c) 23 (d) 20
  25. 25.What is the median of 23, 13, 26, 5 and 29? (a) 23 (b) 24 (c) 13 (d) 26
  26. 26.What is the median of 18, 7, 15, 40, 4, 5 and 2? (a) 13 (b) 7 (c) 40 (d) 15
  27. 27.What is the median of 31, 15, 20, 9, 28, 2 and 25? (a) 25 (b) 9 (c) 20 (d) 15
  28. 28.What is the mode of 6, 4, 5, 4, 4, 15 and 6? (a) 5 (b) 15 (c) 6 (d) 4
  29. 29.What is the median of 14, 30, 34, 16 and 4? (a) 34 (b) 14 (c) 16 (d) 30
  30. 30.The mean of 3 numbers is 10. When the number 18 is added to them, what is the new mean? (a) 14 (b) 10 (c) 13 (d) 12
  31. 31.What is the median of 23, 15, 21, 24, 4, 11 and 8? (a) 15 (b) 11 (c) 21 (d) 24
  32. 32.The mean of 8 numbers is 10. When the number 1 is added to them, what is the new mean? (a) 11 (b) 10 (c) 8 (d) 9
  33. 33.What is the mean of 17, 11, 2, 2, 2 and 8? (a) 6 (b) 9 (c) 7 (d) 8
  34. 34.The mean of 6 numbers is 40. When the number 47 is added to them, what is the new mean? (a) 42 (b) 40 (c) 43 (d) 41
  35. 35.What is the median of 32, 27, 6, 28 and 9? (a) 6 (b) 28 (c) 9 (d) 27
  36. 36.What is the mean of 15, 4, 18 and 3? (a) 8 (b) 10 (c) 11 (d) 9
  37. 37.The mean of 7 numbers is 32. When the number 24 is added to them, what is the new mean? (a) 32 (b) 30 (c) 31 (d) 28
  38. 38.What is the median of 33, 10, 36, 9, 1, 39 and 23? (a) 23 (b) 9 (c) 10 (d) 33
  39. 39.What is the mode of 4, 1, 16, 16, 4, 7 and 16? (a) 16 (b) 4 (c) 7 (d) 1
  40. 40.What is the mean of 16, 4, 15 and 13? (a) 13 (b) 16 (c) 11 (d) 12

Answer key

  1. 32
  2. 38
  3. 12
  4. 42
  5. 7
  6. 25
  7. 13
  8. 15
  9. 7
  10. 10
  11. 11
  12. 30
  13. 15
  14. 17
  15. 17
  16. 26
  17. 7
  18. 14
  19. 14
  20. 12
  21. 20
  22. 13
  23. 34
  24. 19
  25. 23
  26. 7
  27. 20
  28. 4
  29. 16
  30. 12
  31. 15
  32. 9
  33. 7
  34. 41
  35. 27
  36. 10
  37. 31
  38. 23
  39. 16
  40. 12

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