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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 522 · 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.What is the mean of 8, 20, 19 and 21? (a) 17 (b) 16 (c) 19 (d) 18
  2. 2.What is the median of 24, 9, 22, 18 and 21? (a) 18 (b) 22 (c) 20 (d) 21
  3. 3.The mean of 4 numbers is 19. When the number 24 is added to them, what is the new mean? (a) 21 (b) 20 (c) 19 (d) 22
  4. 4.What is the mode of 11, 11, 17, 11, 6, 6 and 19? (a) 19 (b) 6 (c) 11 (d) 17
  5. 5.What is the median of 40, 26, 39, 1 and 22? (a) 22 (b) 26 (c) 27 (d) 39
  6. 6.The mean of 6 numbers is 16. When the number 9 is added to them, what is the new mean? (a) 14 (b) 16 (c) 17 (d) 15
  7. 7.What is the mode of 13, 9, 19, 1, 13, 13 and 19? (a) 19 (b) 13 (c) 9 (d) 1
  8. 8.What is the median of 38, 17, 27, 31, 28, 11 and 8? (a) 17 (b) 28 (c) 27 (d) 31
  9. 9.What is the mode of 3, 10, 3, 10, 10, 2 and 20? (a) 20 (b) 10 (c) 3 (d) 2
  10. 10.What is the median of 8, 24, 18, 40, 9, 29 and 26? (a) 26 (b) 22 (c) 40 (d) 24
  11. 11.What is the median of 3, 12, 39, 30, 38, 4 and 10? (a) 10 (b) 13 (c) 12 (d) 30
  12. 12.What is the median of 21, 29, 8, 36 and 22? (a) 8 (b) 21 (c) 29 (d) 22
  13. 13.The mean of 3 numbers is 38. When the number 42 is added to them, what is the new mean? (a) 38 (b) 39 (c) 40 (d) 41
  14. 14.What is the mode of 2, 2, 9, 4, 4, 19 and 2? (a) 2 (b) 4 (c) 19 (d) 9
  15. 15.What is the mean of 3, 15, 3 and 7? (a) 9 (b) 7 (c) 8 (d) 6
  16. 16.The mean of 3 numbers is 16. When the number 24 is added to them, what is the new mean? (a) 19 (b) 16 (c) 20 (d) 18
  17. 17.The mean of 9 numbers is 26. When the number 16 is added to them, what is the new mean? (a) 21 (b) 26 (c) 25 (d) 24
  18. 18.The mean of 4 numbers is 18. When the number 33 is added to them, what is the new mean? (a) 22 (b) 18 (c) 20 (d) 21
  19. 19.What is the median of 9, 18, 24, 10, 26, 11 and 3? (a) 10 (b) 18 (c) 11 (d) 12
  20. 20.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) 36 (d) 34
  21. 21.The mean of 5 numbers is 17. When the number 23 is added to them, what is the new mean? (a) 19 (b) 17 (c) 18 (d) 20
  22. 22.The mean of 7 numbers is 18. When the number 26 is added to them, what is the new mean? (a) 22 (b) 20 (c) 19 (d) 18
  23. 23.The mean of 7 numbers is 27. When the number 19 is added to them, what is the new mean? (a) 25 (b) 26 (c) 23 (d) 27
  24. 24.What is the median of 35, 38, 9, 3 and 15? (a) 20 (b) 9 (c) 35 (d) 15
  25. 25.What is the mean of 7, 17, 10 and 10? (a) 12 (b) 13 (c) 10 (d) 11
  26. 26.What is the mode of 7, 7, 8, 18, 9, 9 and 9? (a) 7 (b) 8 (c) 18 (d) 9
  27. 27.The mean of 3 numbers is 16. When the number 32 is added to them, what is the new mean? (a) 16 (b) 24 (c) 20 (d) 21
  28. 28.What is the median of 13, 3, 26, 7, 32, 4 and 39? (a) 13 (b) 14 (c) 26 (d) 7
  29. 29.What is the mean of 8, 7, 2, 8, 2 and 9? (a) 8 (b) 7 (c) 5 (d) 6
  30. 30.The mean of 8 numbers is 24. When the number 60 is added to them, what is the new mean? (a) 42 (b) 28 (c) 24 (d) 29
  31. 31.The mean of 7 numbers is 34. When the number 42 is added to them, what is the new mean? (a) 35 (b) 34 (c) 36 (d) 38
  32. 32.What is the median of 32, 21, 3, 16, 20, 34 and 7? (a) 21 (b) 19 (c) 20 (d) 16
  33. 33.The mean of 5 numbers is 31. When the number 25 is added to them, what is the new mean? (a) 30 (b) 31 (c) 28 (d) 29
  34. 34.What is the mean of 2, 13, 3 and 14? (a) 9 (b) 8 (c) 10 (d) 7
  35. 35.What is the median of 10, 36, 23, 33 and 5? (a) 10 (b) 24 (c) 33 (d) 23
  36. 36.The mean of 3 numbers is 13. When the number 1 is added to them, what is the new mean? (a) 13 (b) 10 (c) 11 (d) 7
  37. 37.What is the mode of 19, 19, 14, 7, 7, 19 and 9? (a) 14 (b) 9 (c) 19 (d) 7
  38. 38.What is the mode of 3, 12, 5, 12, 12, 5 and 9? (a) 3 (b) 9 (c) 5 (d) 12
  39. 39.What is the mode of 16, 2, 2, 18, 16, 16 and 4? (a) 4 (b) 18 (c) 16 (d) 2
  40. 40.What is the median of 2, 34, 21, 30 and 7? (a) 7 (b) 21 (c) 30 (d) 22

Answer key

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

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