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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 425 · 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 4 numbers is 30. When the number 40 is added to them, what is the new mean? (a) 33 (b) 32 (c) 35 (d) 30
  2. 2.The mean of 3 numbers is 20. When the number 32 is added to them, what is the new mean? (a) 20 (b) 24 (c) 26 (d) 23
  3. 3.What is the median of 11, 34, 22, 27, 39, 23 and 7? (a) 23 (b) 27 (c) 24 (d) 22
  4. 4.What is the median of 27, 3, 19, 10 and 7? (a) 7 (b) 11 (c) 19 (d) 10
  5. 5.The mean of 5 numbers is 24. When the number 6 is added to them, what is the new mean? (a) 24 (b) 22 (c) 21 (d) 15
  6. 6.The mean of 7 numbers is 17. When the number 9 is added to them, what is the new mean? (a) 15 (b) 17 (c) 13 (d) 16
  7. 7.What is the mode of 19, 16, 1, 1, 1, 7 and 7? (a) 7 (b) 16 (c) 19 (d) 1
  8. 8.What is the mode of 5, 2, 20, 5, 2, 2 and 1? (a) 2 (b) 20 (c) 5 (d) 1
  9. 9.What is the median of 30, 12, 17, 38 and 32? (a) 31 (b) 30 (c) 17 (d) 32
  10. 10.What is the mean of 19, 11, 17, 5, 13 and 19? (a) 14 (b) 13 (c) 12 (d) 15
  11. 11.What is the median of 39, 2, 10, 26, 16, 6 and 18? (a) 18 (b) 10 (c) 26 (d) 16
  12. 12.What is the median of 32, 19, 38, 13 and 6? (a) 13 (b) 19 (c) 38 (d) 32
  13. 13.What is the median of 1, 8, 23, 2 and 29? (a) 9 (b) 8 (c) 2 (d) 23
  14. 14.The mean of 4 numbers is 12. When the number 32 is added to them, what is the new mean? (a) 22 (b) 17 (c) 16 (d) 12
  15. 15.What is the mode of 7, 7, 12, 5, 15, 7 and 5? (a) 7 (b) 15 (c) 12 (d) 5
  16. 16.The mean of 3 numbers is 17. When the number 21 is added to them, what is the new mean? (a) 20 (b) 19 (c) 18 (d) 17
  17. 17.What is the median of 36, 23, 12, 8 and 40? (a) 36 (b) 23 (c) 24 (d) 12
  18. 18.What is the median of 39, 8, 9, 28, 36, 40 and 26? (a) 26 (b) 29 (c) 36 (d) 28
  19. 19.What is the median of 25, 40, 17, 37 and 38? (a) 25 (b) 17 (c) 38 (d) 37
  20. 20.What is the mean of 8, 14, 10 and 16? (a) 13 (b) 11 (c) 16 (d) 12
  21. 21.The mean of 7 numbers is 12. When the number 36 is added to them, what is the new mean? (a) 24 (b) 16 (c) 15 (d) 12
  22. 22.The mean of 8 numbers is 29. When the number 2 is added to them, what is the new mean? (a) 29 (b) 27 (c) 25 (d) 26
  23. 23.What is the median of 24, 19, 38, 11, 7, 29 and 1? (a) 11 (b) 19 (c) 20 (d) 24
  24. 24.The mean of 8 numbers is 18. When the number 9 is added to them, what is the new mean? (a) 18 (b) 19 (c) 16 (d) 17
  25. 25.The mean of 9 numbers is 16. When the number 56 is added to them, what is the new mean? (a) 21 (b) 36 (c) 16 (d) 20
  26. 26.What is the mean of 7, 3, 2, 11 and 17? (a) 7 (b) 8 (c) 9 (d) 10
  27. 27.What is the mode of 10, 6, 12, 10, 12, 12 and 3? (a) 3 (b) 6 (c) 10 (d) 12
  28. 28.What is the median of 24, 26, 27, 19, 11, 7 and 8? (a) 20 (b) 24 (c) 19 (d) 11
  29. 29.What is the mean of 18, 18, 7 and 13? (a) 16 (b) 14 (c) 13 (d) 15
  30. 30.What is the median of 4, 18, 7, 33 and 6? (a) 8 (b) 7 (c) 18 (d) 6
  31. 31.What is the mode of 3, 2, 9, 16, 16, 3 and 16? (a) 9 (b) 16 (c) 2 (d) 3
  32. 32.The mean of 7 numbers is 16. When the number 48 is added to them, what is the new mean? (a) 16 (b) 20 (c) 32 (d) 21
  33. 33.What is the mean of 3, 3, 8, 4 and 17? (a) 6 (b) 7 (c) 9 (d) 8
  34. 34.What is the median of 27, 24, 8, 15 and 5? (a) 16 (b) 15 (c) 8 (d) 24
  35. 35.What is the mode of 17, 17, 11, 8, 3, 17 and 3? (a) 11 (b) 8 (c) 3 (d) 17
  36. 36.What is the mode of 11, 1, 11, 1, 20, 11 and 13? (a) 13 (b) 11 (c) 20 (d) 1
  37. 37.What is the mean of 18, 5, 9 and 4? (a) 8 (b) 10 (c) 12 (d) 9
  38. 38.The mean of 8 numbers is 12. When the number 39 is added to them, what is the new mean? (a) 16 (b) 12 (c) 14 (d) 15
  39. 39.What is the mean of 7, 5, 5, 19 and 14? (a) 11 (b) 10 (c) 9 (d) 12
  40. 40.What is the median of 5, 39, 15, 35, 14, 34 and 38? (a) 35 (b) 15 (c) 34 (d) 33

Answer key

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

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