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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 954 · 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 32 is added to them, what is the new mean? (a) 38 (b) 36 (c) 35 (d) 37
  2. 2.What is the mode of 1, 14, 14, 12, 1, 14 and 16? (a) 1 (b) 16 (c) 12 (d) 14
  3. 3.The mean of 6 numbers is 28. When the number 35 is added to them, what is the new mean? (a) 28 (b) 31 (c) 29 (d) 30
  4. 4.The mean of 4 numbers is 24. When the number 39 is added to them, what is the new mean? (a) 24 (b) 27 (c) 28 (d) 26
  5. 5.What is the mean of 12, 3, 18, 11, 5 and 17? (a) 10 (b) 11 (c) 13 (d) 12
  6. 6.What is the mode of 4, 1, 2, 4, 2, 4 and 11? (a) 4 (b) 2 (c) 11 (d) 1
  7. 7.What is the median of 33, 37, 28, 31, 16, 19 and 36? (a) 28 (b) 31 (c) 32 (d) 33
  8. 8.What is the mean of 11, 20, 20 and 21? (a) 17 (b) 24 (c) 18 (d) 19
  9. 9.What is the mean of 3, 13, 13 and 11? (a) 10 (b) 11 (c) 8 (d) 9
  10. 10.What is the mean of 17, 16, 9 and 10? (a) 13 (b) 15 (c) 12 (d) 14
  11. 11.What is the median of 19, 18, 17, 2, 40, 15 and 4? (a) 15 (b) 2 (c) 18 (d) 17
  12. 12.What is the mean of 13, 16, 4, 12 and 10? (a) 12 (b) 11 (c) 10 (d) 13
  13. 13.What is the median of 40, 5, 25, 7, 1, 30 and 32? (a) 25 (b) 7 (c) 30 (d) 20
  14. 14.The mean of 9 numbers is 18. When the number 8 is added to them, what is the new mean? (a) 16 (b) 18 (c) 13 (d) 17
  15. 15.The mean of 3 numbers is 34. When the number 18 is added to them, what is the new mean? (a) 26 (b) 31 (c) 30 (d) 34
  16. 16.What is the median of 35, 14, 34, 39 and 26? (a) 33 (b) 35 (c) 34 (d) 26
  17. 17.What is the mean of 20, 18, 14, 3, 7 and 4? (a) 10 (b) 13 (c) 11 (d) 12
  18. 18.What is the mean of 7, 20, 9, 4 and 10? (a) 12 (b) 9 (c) 10 (d) 11
  19. 19.What is the median of 15, 12, 10, 26, 19, 7 and 36? (a) 26 (b) 19 (c) 15 (d) 12
  20. 20.The mean of 9 numbers is 31. When the number 1 is added to them, what is the new mean? (a) 29 (b) 16 (c) 28 (d) 31
  21. 21.The mean of 6 numbers is 32. When the number 11 is added to them, what is the new mean? (a) 32 (b) 30 (c) 29 (d) 28
  22. 22.What is the mode of 15, 2, 15, 17, 2, 11 and 2? (a) 17 (b) 2 (c) 11 (d) 15
  23. 23.What is the mean of 16, 14, 13, 4, 17 and 2? (a) 12 (b) 10 (c) 13 (d) 11
  24. 24.The mean of 6 numbers is 23. When the number 30 is added to them, what is the new mean? (a) 25 (b) 23 (c) 24 (d) 26
  25. 25.What is the mean of 20, 10, 9, 9 and 17? (a) 13 (b) 15 (c) 12 (d) 14
  26. 26.What is the median of 29, 24, 27, 3, 17, 12 and 15? (a) 17 (b) 24 (c) 15 (d) 3
  27. 27.What is the median of 7, 12, 17, 2, 4, 35 and 11? (a) 12 (b) 11 (c) 7 (d) 2
  28. 28.What is the mean of 4, 4, 2, 13, 5 and 2? (a) 6 (b) 5 (c) 7 (d) 4
  29. 29.What is the mean of 13, 18, 5, 2 and 7? (a) 9 (b) 10 (c) 8 (d) 11
  30. 30.What is the mode of 9, 8, 9, 6, 18, 9 and 18? (a) 9 (b) 8 (c) 18 (d) 6
  31. 31.The mean of 3 numbers is 17. When the number 21 is added to them, what is the new mean? (a) 19 (b) 20 (c) 18 (d) 17
  32. 32.What is the mean of 19, 5, 16, 12 and 18? (a) 13 (b) 16 (c) 14 (d) 15
  33. 33.The mean of 9 numbers is 33. When the number 23 is added to them, what is the new mean? (a) 28 (b) 31 (c) 33 (d) 32
  34. 34.The mean of 3 numbers is 22. When the number 10 is added to them, what is the new mean? (a) 22 (b) 19 (c) 20 (d) 16
  35. 35.The mean of 7 numbers is 23. When the number 7 is added to them, what is the new mean? (a) 15 (b) 21 (c) 23 (d) 22
  36. 36.What is the mean of 6, 16, 2 and 4? (a) 7 (b) 8 (c) 6 (d) 9
  37. 37.What is the median of 9, 37, 25, 23 and 26? (a) 26 (b) 23 (c) 24 (d) 25
  38. 38.What is the mode of 3, 12, 3, 8, 8, 9 and 8? (a) 8 (b) 3 (c) 12 (d) 9
  39. 39.The mean of 5 numbers is 30. When the number 54 is added to them, what is the new mean? (a) 34 (b) 30 (c) 42 (d) 35
  40. 40.The mean of 8 numbers is 22. When the number 31 is added to them, what is the new mean? (a) 22 (b) 24 (c) 23 (d) 25

Answer key

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

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