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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 932 · 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 mode of 17, 3, 15, 17, 1, 15 and 15? (a) 1 (b) 15 (c) 17 (d) 3
  2. 2.The mean of 5 numbers is 20. When the number 38 is added to them, what is the new mean? (a) 20 (b) 24 (c) 29 (d) 23
  3. 3.The mean of 4 numbers is 35. When the number 25 is added to them, what is the new mean? (a) 30 (b) 34 (c) 35 (d) 33
  4. 4.What is the median of 4, 7, 39, 6 and 33? (a) 6 (b) 39 (c) 33 (d) 7
  5. 5.The mean of 5 numbers is 22. When the number 28 is added to them, what is the new mean? (a) 24 (b) 22 (c) 25 (d) 23
  6. 6.The mean of 8 numbers is 29. When the number 20 is added to them, what is the new mean? (a) 30 (b) 29 (c) 28 (d) 27
  7. 7.What is the mode of 9, 15, 15, 11, 15, 4 and 4? (a) 9 (b) 11 (c) 15 (d) 4
  8. 8.What is the mode of 9, 4, 8, 10, 8, 8 and 10? (a) 8 (b) 10 (c) 9 (d) 4
  9. 9.What is the mean of 9, 12, 8, 10 and 6? (a) 11 (b) 10 (c) 8 (d) 9
  10. 10.What is the mean of 12, 14, 9, 10 and 10? (a) 13 (b) 12 (c) 11 (d) 10
  11. 11.What is the mean of 10, 19, 18, 8, 5 and 24? (a) 13 (b) 14 (c) 15 (d) 12
  12. 12.What is the median of 7, 22, 12, 11, 18, 39 and 23? (a) 22 (b) 18 (c) 11 (d) 12
  13. 13.What is the median of 13, 37, 27, 33 and 23? (a) 27 (b) 28 (c) 23 (d) 33
  14. 14.The mean of 3 numbers is 18. When the number 2 is added to them, what is the new mean? (a) 14 (b) 18 (c) 10 (d) 15
  15. 15.What is the mode of 20, 8, 13, 8, 20, 8 and 17? (a) 8 (b) 13 (c) 17 (d) 20
  16. 16.The mean of 3 numbers is 22. When the number 30 is added to them, what is the new mean? (a) 22 (b) 26 (c) 24 (d) 25
  17. 17.What is the median of 38, 23, 34, 39 and 30? (a) 30 (b) 38 (c) 35 (d) 34
  18. 18.What is the median of 38, 29, 40, 7, 12, 14 and 31? (a) 29 (b) 14 (c) 7 (d) 31
  19. 19.What is the median of 7, 24, 37, 30, 2, 22 and 39? (a) 23 (b) 30 (c) 22 (d) 24
  20. 20.The mean of 5 numbers is 34. When the number 22 is added to them, what is the new mean? (a) 28 (b) 32 (c) 34 (d) 33
  21. 21.What is the mean of 15, 3, 5 and 21? (a) 13 (b) 10 (c) 11 (d) 12
  22. 22.The mean of 9 numbers is 16. When the number 6 is added to them, what is the new mean? (a) 14 (b) 15 (c) 16 (d) 11
  23. 23.What is the mean of 10, 2, 3 and 13? (a) 8 (b) 7 (c) 6 (d) 9
  24. 24.What is the mean of 7, 4, 7 and 14? (a) 10 (b) 7 (c) 8 (d) 9
  25. 25.What is the median of 5, 37, 25, 33, 35, 26 and 31? (a) 31 (b) 32 (c) 33 (d) 26
  26. 26.What is the mean of 5, 4, 6, 10, 15 and 20? (a) 11 (b) 9 (c) 12 (d) 10
  27. 27.What is the mean of 9, 2, 8, 11 and 10? (a) 8 (b) 7 (c) 10 (d) 9
  28. 28.The mean of 4 numbers is 28. When the number 38 is added to them, what is the new mean? (a) 33 (b) 28 (c) 31 (d) 30
  29. 29.The mean of 7 numbers is 34. When the number 10 is added to them, what is the new mean? (a) 31 (b) 22 (c) 32 (d) 34
  30. 30.What is the mean of 2, 18, 5, 15, 12 and 8? (a) 11 (b) 10 (c) 9 (d) 12
  31. 31.What is the median of 21, 12, 22, 1, 16, 34 and 39? (a) 1 (b) 16 (c) 21 (d) 22
  32. 32.The mean of 9 numbers is 39. When the number 19 is added to them, what is the new mean? (a) 39 (b) 38 (c) 37 (d) 29
  33. 33.What is the mean of 6, 5, 15 and 10? (a) 9 (b) 12 (c) 10 (d) 8
  34. 34.What is the mean of 9, 11, 18, 2 and 5? (a) 9 (b) 8 (c) 11 (d) 10
  35. 35.What is the mean of 4, 6, 9 and 17? (a) 10 (b) 9 (c) 12 (d) 8
  36. 36.The mean of 5 numbers is 35. When the number 11 is added to them, what is the new mean? (a) 23 (b) 32 (c) 31 (d) 35
  37. 37.What is the median of 3, 30, 15, 33 and 26? (a) 26 (b) 27 (c) 15 (d) 30
  38. 38.What is the mean of 7, 18, 7 and 20? (a) 15 (b) 13 (c) 12 (d) 14
  39. 39.What is the mode of 19, 1, 8, 8, 8, 1 and 5? (a) 5 (b) 8 (c) 19 (d) 1
  40. 40.What is the mean of 19, 13, 7, 20 and 21? (a) 17 (b) 15 (c) 16 (d) 20

Answer key

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

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