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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 401 · 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 3 numbers is 22. When the number 38 is added to them, what is the new mean? (a) 26 (b) 22 (c) 30 (d) 27
  2. 2.The mean of 5 numbers is 25. When the number 31 is added to them, what is the new mean? (a) 27 (b) 28 (c) 26 (d) 25
  3. 3.What is the mean of 10, 8, 5, 2, 18 and 23? (a) 12 (b) 10 (c) 13 (d) 11
  4. 4.What is the mean of 15, 6, 7 and 12? (a) 11 (b) 9 (c) 10 (d) 8
  5. 5.What is the mode of 2, 12, 10, 1, 10, 1 and 1? (a) 2 (b) 12 (c) 1 (d) 10
  6. 6.What is the median of 4, 13, 21, 20 and 36? (a) 19 (b) 20 (c) 21 (d) 13
  7. 7.What is the mode of 15, 15, 3, 3, 10, 3 and 17? (a) 3 (b) 17 (c) 15 (d) 10
  8. 8.What is the median of 13, 37, 21, 30 and 34? (a) 27 (b) 34 (c) 30 (d) 21
  9. 9.What is the mode of 6, 4, 17, 7, 4, 17 and 4? (a) 7 (b) 6 (c) 4 (d) 17
  10. 10.What is the median of 28, 5, 34, 24, 15, 4 and 36? (a) 24 (b) 25 (c) 15 (d) 28
  11. 11.What is the mean of 3, 12, 15, 20, 9 and 7? (a) 13 (b) 10 (c) 11 (d) 12
  12. 12.What is the median of 25, 37, 33, 21 and 2? (a) 26 (b) 33 (c) 25 (d) 21
  13. 13.What is the mean of 9, 5, 2, 2 and 17? (a) 7 (b) 6 (c) 8 (d) 9
  14. 14.What is the mode of 11, 9, 4, 4, 16, 4 and 9? (a) 9 (b) 16 (c) 11 (d) 4
  15. 15.The mean of 7 numbers is 11. When the number 27 is added to them, what is the new mean? (a) 13 (b) 14 (c) 19 (d) 11
  16. 16.What is the mean of 10, 4, 16, 16, 13 and 13? (a) 11 (b) 14 (c) 12 (d) 13
  17. 17.The mean of 8 numbers is 38. When the number 74 is added to them, what is the new mean? (a) 43 (b) 38 (c) 42 (d) 56
  18. 18.The mean of 7 numbers is 34. When the number 42 is added to them, what is the new mean? (a) 35 (b) 38 (c) 36 (d) 34
  19. 19.The mean of 6 numbers is 14. When the number 7 is added to them, what is the new mean? (a) 12 (b) 13 (c) 15 (d) 14
  20. 20.What is the median of 28, 19, 36, 10 and 12? (a) 36 (b) 19 (c) 28 (d) 21
  21. 21.What is the mode of 10, 18, 10, 5, 20, 10 and 5? (a) 20 (b) 5 (c) 18 (d) 10
  22. 22.The mean of 5 numbers is 22. When the number 28 is added to them, what is the new mean? (a) 23 (b) 24 (c) 25 (d) 22
  23. 23.What is the median of 18, 29, 1, 23 and 2? (a) 23 (b) 18 (c) 2 (d) 1
  24. 24.The mean of 4 numbers is 22. When the number 12 is added to them, what is the new mean? (a) 17 (b) 21 (c) 22 (d) 20
  25. 25.What is the median of 3, 22, 14, 26, 39, 11 and 36? (a) 14 (b) 23 (c) 22 (d) 26
  26. 26.What is the mean of 4, 2, 19 and 11? (a) 10 (b) 8 (c) 9 (d) 12
  27. 27.The mean of 6 numbers is 12. When the number 5 is added to them, what is the new mean? (a) 11 (b) 10 (c) 12 (d) 13
  28. 28.The mean of 6 numbers is 30. When the number 23 is added to them, what is the new mean? (a) 28 (b) 29 (c) 30 (d) 31
  29. 29.What is the median of 2, 35, 9, 40 and 23? (a) 35 (b) 24 (c) 9 (d) 23
  30. 30.The mean of 3 numbers is 38. When the number 54 is added to them, what is the new mean? (a) 43 (b) 42 (c) 38 (d) 46
  31. 31.What is the median of 25, 32, 36, 37, 15, 24 and 38? (a) 32 (b) 25 (c) 37 (d) 36
  32. 32.What is the median of 29, 13, 37, 35 and 3? (a) 35 (b) 13 (c) 29 (d) 37
  33. 33.What is the mode of 6, 5, 5, 2, 17, 5 and 17? (a) 17 (b) 6 (c) 5 (d) 2
  34. 34.What is the mean of 11, 6, 4 and 19? (a) 11 (b) 8 (c) 9 (d) 10
  35. 35.The mean of 3 numbers is 30. When the number 14 is added to them, what is the new mean? (a) 27 (b) 26 (c) 22 (d) 30
  36. 36.What is the mean of 17, 18, 6, 5, 7 and 19? (a) 11 (b) 13 (c) 12 (d) 14
  37. 37.What is the mean of 16, 13, 3 and 16? (a) 13 (b) 12 (c) 11 (d) 16
  38. 38.What is the median of 2, 3, 19, 5, 36, 6 and 38? (a) 7 (b) 19 (c) 6 (d) 5
  39. 39.What is the mode of 8, 18, 6, 19, 6, 18 and 18? (a) 8 (b) 18 (c) 6 (d) 19
  40. 40.The mean of 5 numbers is 40. When the number 28 is added to them, what is the new mean? (a) 40 (b) 38 (c) 39 (d) 34

Answer key

  1. 26
  2. 26
  3. 11
  4. 10
  5. 1
  6. 20
  7. 3
  8. 30
  9. 4
  10. 24
  11. 11
  12. 25
  13. 7
  14. 4
  15. 13
  16. 12
  17. 42
  18. 35
  19. 13
  20. 19
  21. 10
  22. 23
  23. 18
  24. 20
  25. 22
  26. 9
  27. 11
  28. 29
  29. 23
  30. 42
  31. 32
  32. 29
  33. 5
  34. 10
  35. 26
  36. 12
  37. 12
  38. 6
  39. 18
  40. 38

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