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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 741 · 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 23. When the number 50 is added to them, what is the new mean? (a) 23 (b) 25 (c) 26 (d) 27
  2. 2.The mean of 6 numbers is 20. When the number 34 is added to them, what is the new mean? (a) 23 (b) 20 (c) 22 (d) 27
  3. 3.What is the mean of 7, 8, 19, 10, 9 and 7? (a) 12 (b) 10 (c) 11 (d) 9
  4. 4.The mean of 9 numbers is 16. When the number 56 is added to them, what is the new mean? (a) 16 (b) 36 (c) 20 (d) 21
  5. 5.What is the mean of 20, 7, 9 and 12? (a) 11 (b) 16 (c) 13 (d) 12
  6. 6.What is the mean of 10, 13, 12 and 13? (a) 11 (b) 16 (c) 13 (d) 12
  7. 7.What is the mode of 10, 16, 3, 3, 10, 20 and 3? (a) 3 (b) 10 (c) 20 (d) 16
  8. 8.What is the mode of 13, 13, 20, 4, 19, 13 and 4? (a) 19 (b) 4 (c) 20 (d) 13
  9. 9.What is the mean of 6, 8, 7, 14 and 20? (a) 12 (b) 11 (c) 10 (d) 13
  10. 10.The mean of 9 numbers is 38. When the number 28 is added to them, what is the new mean? (a) 36 (b) 38 (c) 33 (d) 37
  11. 11.What is the median of 35, 4, 33, 21, 34, 9 and 10? (a) 33 (b) 10 (c) 22 (d) 21
  12. 12.What is the mean of 7, 3, 9, 20, 15 and 18? (a) 13 (b) 11 (c) 14 (d) 12
  13. 13.The mean of 4 numbers is 35. When the number 25 is added to them, what is the new mean? (a) 33 (b) 35 (c) 34 (d) 30
  14. 14.What is the mean of 16, 3, 8, 3 and 10? (a) 9 (b) 10 (c) 8 (d) 7
  15. 15.What is the median of 11, 2, 10, 37 and 8? (a) 10 (b) 9 (c) 11 (d) 8
  16. 16.The mean of 5 numbers is 40. When the number 16 is added to them, what is the new mean? (a) 40 (b) 36 (c) 37 (d) 28
  17. 17.What is the mean of 18, 18, 12, 6, 14 and 22? (a) 16 (b) 14 (c) 18 (d) 15
  18. 18.What is the mean of 2, 3, 17, 14 and 4? (a) 10 (b) 7 (c) 9 (d) 8
  19. 19.What is the mean of 20, 7, 3 and 10? (a) 8 (b) 11 (c) 10 (d) 9
  20. 20.The mean of 3 numbers is 34. When the number 30 is added to them, what is the new mean? (a) 35 (b) 32 (c) 33 (d) 34
  21. 21.The mean of 9 numbers is 37. When the number 47 is added to them, what is the new mean? (a) 37 (b) 38 (c) 42 (d) 39
  22. 22.What is the median of 38, 7, 25, 33, 26, 34 and 15? (a) 27 (b) 26 (c) 33 (d) 25
  23. 23.What is the mode of 10, 5, 10, 3, 18, 3 and 3? (a) 10 (b) 3 (c) 5 (d) 18
  24. 24.What is the median of 24, 21, 33, 14 and 37? (a) 25 (b) 21 (c) 33 (d) 24
  25. 25.What is the mean of 16, 20, 11, 16, 15 and 18? (a) 17 (b) 18 (c) 16 (d) 15
  26. 26.The mean of 9 numbers is 28. When the number 48 is added to them, what is the new mean? (a) 38 (b) 31 (c) 28 (d) 30
  27. 27.What is the mean of 12, 6, 18, 15 and 14? (a) 14 (b) 15 (c) 12 (d) 13
  28. 28.The mean of 5 numbers is 25. When the number 19 is added to them, what is the new mean? (a) 23 (b) 24 (c) 22 (d) 25
  29. 29.What is the mean of 8, 18, 15, 20 and 14? (a) 17 (b) 16 (c) 15 (d) 14
  30. 30.What is the median of 25, 13, 2, 7, 24, 6 and 14? (a) 7 (b) 14 (c) 12 (d) 13
  31. 31.What is the median of 36, 11, 21, 5 and 4? (a) 11 (b) 5 (c) 21 (d) 12
  32. 32.What is the median of 24, 32, 9, 17, 7, 28 and 2? (a) 18 (b) 24 (c) 9 (d) 17
  33. 33.What is the median of 22, 34, 30, 8 and 24? (a) 22 (b) 25 (c) 30 (d) 24
  34. 34.What is the mean of 14, 6, 16 and 4? (a) 11 (b) 8 (c) 9 (d) 10
  35. 35.What is the mode of 12, 12, 10, 16, 7, 12 and 16? (a) 10 (b) 16 (c) 7 (d) 12
  36. 36.What is the mode of 14, 18, 18, 14, 15, 18 and 5? (a) 14 (b) 15 (c) 18 (d) 5
  37. 37.What is the median of 30, 31, 26, 39 and 19? (a) 31 (b) 29 (c) 30 (d) 26
  38. 38.What is the median of 8, 38, 39, 29 and 6? (a) 38 (b) 24 (c) 29 (d) 39
  39. 39.What is the mean of 10, 8, 17, 14, 18 and 23? (a) 14 (b) 15 (c) 18 (d) 16
  40. 40.What is the median of 11, 20, 21, 39 and 3? (a) 21 (b) 19 (c) 11 (d) 20

Answer key

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

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