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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 244 · 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 8 numbers is 16. When the number 43 is added to them, what is the new mean? (a) 18 (b) 20 (c) 16 (d) 19
  2. 2.The mean of 5 numbers is 17. When the number 23 is added to them, what is the new mean? (a) 18 (b) 19 (c) 20 (d) 17
  3. 3.What is the median of 22, 34, 19, 4, 29, 3 and 16? (a) 19 (b) 22 (c) 4 (d) 16
  4. 4.What is the mean of 2, 15, 10, 12 and 11? (a) 11 (b) 12 (c) 10 (d) 9
  5. 5.What is the mode of 3, 3, 5, 16, 3, 16 and 6? (a) 16 (b) 3 (c) 5 (d) 6
  6. 6.The mean of 4 numbers is 23. When the number 3 is added to them, what is the new mean? (a) 13 (b) 23 (c) 20 (d) 19
  7. 7.The mean of 8 numbers is 33. When the number 69 is added to them, what is the new mean? (a) 33 (b) 51 (c) 38 (d) 37
  8. 8.What is the mean of 5, 18, 5 and 12? (a) 9 (b) 10 (c) 11 (d) 8
  9. 9.What is the median of 8, 3, 31, 21, 40, 14 and 13? (a) 21 (b) 13 (c) 15 (d) 14
  10. 10.What is the mean of 14, 19, 3, 11, 10 and 15? (a) 13 (b) 11 (c) 14 (d) 12
  11. 11.The mean of 7 numbers is 18. When the number 34 is added to them, what is the new mean? (a) 21 (b) 20 (c) 18 (d) 26
  12. 12.What is the median of 21, 4, 12, 8, 25, 9 and 14? (a) 12 (b) 14 (c) 9 (d) 8
  13. 13.The mean of 3 numbers is 14. When the number 22 is added to them, what is the new mean? (a) 16 (b) 14 (c) 18 (d) 17
  14. 14.What is the median of 40, 12, 28, 27 and 20? (a) 27 (b) 26 (c) 28 (d) 20
  15. 15.The mean of 4 numbers is 21. When the number 26 is added to them, what is the new mean? (a) 23 (b) 21 (c) 24 (d) 22
  16. 16.What is the median of 7, 30, 23, 24, 3, 19 and 28? (a) 23 (b) 22 (c) 19 (d) 24
  17. 17.What is the mean of 11, 4, 20, 18, 19 and 6? (a) 15 (b) 13 (c) 12 (d) 14
  18. 18.What is the mode of 15, 9, 13, 13, 3, 13 and 9? (a) 3 (b) 9 (c) 15 (d) 13
  19. 19.What is the mean of 18, 19, 20, 17 and 11? (a) 16 (b) 19 (c) 17 (d) 18
  20. 20.What is the mode of 8, 18, 18, 5, 5, 14 and 18? (a) 5 (b) 8 (c) 18 (d) 14
  21. 21.What is the median of 28, 32, 38, 8 and 14? (a) 32 (b) 24 (c) 38 (d) 28
  22. 22.What is the mean of 6, 19, 5, 15, 12 and 21? (a) 15 (b) 13 (c) 12 (d) 14
  23. 23.What is the median of 40, 21, 29, 30, 8, 2 and 33? (a) 30 (b) 29 (c) 28 (d) 21
  24. 24.What is the median of 25, 16, 17, 32 and 34? (a) 26 (b) 25 (c) 17 (d) 32
  25. 25.What is the mean of 2, 14, 11 and 13? (a) 9 (b) 11 (c) 8 (d) 10
  26. 26.The mean of 8 numbers is 24. When the number 42 is added to them, what is the new mean? (a) 24 (b) 26 (c) 33 (d) 27
  27. 27.What is the mode of 20, 1, 10, 20, 20, 10 and 17? (a) 10 (b) 20 (c) 1 (d) 17
  28. 28.The mean of 6 numbers is 20. When the number 34 is added to them, what is the new mean? (a) 20 (b) 27 (c) 23 (d) 22
  29. 29.What is the median of 5, 17, 24, 30 and 26? (a) 26 (b) 17 (c) 24 (d) 25
  30. 30.What is the mean of 13, 16, 14, 7 and 10? (a) 15 (b) 13 (c) 10 (d) 12
  31. 31.What is the mean of 15, 2, 10 and 17? (a) 13 (b) 10 (c) 11 (d) 12
  32. 32.What is the median of 9, 30, 6, 36, 8, 31 and 10? (a) 36 (b) 9 (c) 30 (d) 10
  33. 33.What is the median of 20, 29, 37, 2 and 12? (a) 20 (b) 29 (c) 12 (d) 37
  34. 34.What is the mode of 13, 14, 3, 3, 8, 14 and 3? (a) 8 (b) 13 (c) 3 (d) 14
  35. 35.What is the mode of 16, 16, 7, 2, 16, 12 and 12? (a) 12 (b) 16 (c) 7 (d) 2
  36. 36.What is the median of 40, 35, 17, 25 and 14? (a) 26 (b) 35 (c) 25 (d) 17
  37. 37.What is the mode of 10, 13, 17, 13, 10, 13 and 5? (a) 17 (b) 5 (c) 13 (d) 10
  38. 38.What is the mode of 7, 15, 4, 4, 4, 2 and 7? (a) 7 (b) 2 (c) 15 (d) 4
  39. 39.The mean of 7 numbers is 36. When the number 52 is added to them, what is the new mean? (a) 36 (b) 44 (c) 38 (d) 39
  40. 40.What is the mean of 11, 2, 3, 8, 14 and 16? (a) 9 (b) 10 (c) 11 (d) 8

Answer key

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

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