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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 277 · 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 5 numbers is 38. When the number 20 is added to them, what is the new mean? (a) 38 (b) 29 (c) 36 (d) 35
  2. 2.What is the mean of 4, 18, 8 and 2? (a) 7 (b) 8 (c) 10 (d) 9
  3. 3.The mean of 4 numbers is 39. When the number 34 is added to them, what is the new mean? (a) 40 (b) 37 (c) 38 (d) 39
  4. 4.What is the median of 6, 26, 25, 16 and 13? (a) 13 (b) 16 (c) 25 (d) 17
  5. 5.What is the mean of 11, 2, 15, 18, 14 and 18? (a) 14 (b) 15 (c) 12 (d) 13
  6. 6.The mean of 8 numbers is 34. When the number 52 is added to them, what is the new mean? (a) 43 (b) 36 (c) 37 (d) 34
  7. 7.The mean of 8 numbers is 23. When the number 59 is added to them, what is the new mean? (a) 27 (b) 23 (c) 41 (d) 28
  8. 8.What is the mode of 10, 17, 17, 17, 15, 4 and 4? (a) 10 (b) 4 (c) 17 (d) 15
  9. 9.What is the mean of 16, 2, 3, 9 and 10? (a) 9 (b) 8 (c) 10 (d) 7
  10. 10.What is the median of 24, 21, 8, 6 and 15? (a) 16 (b) 15 (c) 8 (d) 21
  11. 11.What is the mean of 11, 5, 4, 4 and 6? (a) 8 (b) 5 (c) 6 (d) 7
  12. 12.The mean of 3 numbers is 17. When the number 21 is added to them, what is the new mean? (a) 17 (b) 19 (c) 20 (d) 18
  13. 13.What is the mean of 4, 14, 12 and 10? (a) 10 (b) 8 (c) 11 (d) 9
  14. 14.The mean of 3 numbers is 27. When the number 23 is added to them, what is the new mean? (a) 26 (b) 27 (c) 28 (d) 25
  15. 15.What is the mean of 17, 3, 4, 17, 18 and 13? (a) 11 (b) 13 (c) 12 (d) 14
  16. 16.What is the mode of 5, 10, 5, 10, 5, 1 and 18? (a) 5 (b) 18 (c) 1 (d) 10
  17. 17.What is the median of 28, 7, 20, 30 and 26? (a) 28 (b) 20 (c) 27 (d) 26
  18. 18.What is the median of 15, 4, 37, 39, 21, 26 and 2? (a) 39 (b) 21 (c) 15 (d) 26
  19. 19.What is the median of 30, 32, 4, 20 and 16? (a) 30 (b) 16 (c) 4 (d) 20
  20. 20.What is the median of 8, 19, 13, 10, 35, 30 and 39? (a) 19 (b) 30 (c) 22 (d) 10
  21. 21.What is the mode of 2, 14, 6, 18, 14, 2 and 2? (a) 18 (b) 14 (c) 2 (d) 6
  22. 22.What is the median of 8, 14, 29, 12 and 24? (a) 12 (b) 24 (c) 29 (d) 14
  23. 23.What is the median of 29, 35, 11, 36, 3, 9 and 28? (a) 28 (b) 29 (c) 36 (d) 11
  24. 24.What is the median of 33, 36, 34, 11 and 28? (a) 33 (b) 28 (c) 32 (d) 34
  25. 25.What is the median of 21, 16, 4, 18 and 7? (a) 7 (b) 18 (c) 4 (d) 16
  26. 26.What is the mean of 16, 7, 7, 20 and 5? (a) 10 (b) 12 (c) 13 (d) 11
  27. 27.What is the mean of 19, 16, 17, 15, 5 and 18? (a) 14 (b) 15 (c) 18 (d) 16
  28. 28.The mean of 5 numbers is 33. When the number 57 is added to them, what is the new mean? (a) 33 (b) 45 (c) 38 (d) 37
  29. 29.The mean of 7 numbers is 33. When the number 9 is added to them, what is the new mean? (a) 31 (b) 33 (c) 30 (d) 21
  30. 30.What is the median of 32, 25, 4, 19 and 24? (a) 19 (b) 25 (c) 24 (d) 4
  31. 31.What is the mean of 5, 11, 17, 15 and 22? (a) 13 (b) 14 (c) 15 (d) 16
  32. 32.What is the median of 6, 13, 30, 7, 3, 9 and 39? (a) 13 (b) 9 (c) 10 (d) 7
  33. 33.The mean of 7 numbers is 37. When the number 53 is added to them, what is the new mean? (a) 40 (b) 37 (c) 39 (d) 45
  34. 34.What is the mean of 8, 6, 10, 9 and 12? (a) 8 (b) 10 (c) 11 (d) 9
  35. 35.What is the mode of 1, 1, 8, 5, 1, 8 and 9? (a) 1 (b) 5 (c) 8 (d) 9
  36. 36.The mean of 3 numbers is 28. When the number 12 is added to them, what is the new mean? (a) 28 (b) 25 (c) 24 (d) 20
  37. 37.What is the median of 13, 16, 25, 28 and 15? (a) 17 (b) 16 (c) 15 (d) 25
  38. 38.What is the mean of 10, 4, 15, 9 and 12? (a) 10 (b) 12 (c) 9 (d) 11
  39. 39.The mean of 7 numbers is 22. When the number 46 is added to them, what is the new mean? (a) 26 (b) 22 (c) 25 (d) 34
  40. 40.What is the median of 34, 2, 8, 23, 22, 37 and 27? (a) 27 (b) 22 (c) 24 (d) 23

Answer key

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

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