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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 389 · 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 mean of 7, 8, 19 and 6? (a) 11 (b) 8 (c) 9 (d) 10
  2. 2.What is the median of 13, 29, 15, 23 and 4? (a) 13 (b) 16 (c) 23 (d) 15
  3. 3.What is the median of 37, 34, 21, 22 and 38? (a) 21 (b) 37 (c) 34 (d) 22
  4. 4.The mean of 9 numbers is 35. When the number 5 is added to them, what is the new mean? (a) 20 (b) 35 (c) 32 (d) 33
  5. 5.What is the mode of 2, 4, 9, 4, 17, 9 and 4? (a) 4 (b) 9 (c) 2 (d) 17
  6. 6.What is the mean of 17, 3, 11 and 5? (a) 12 (b) 8 (c) 9 (d) 10
  7. 7.What is the median of 12, 5, 20, 30, 25, 26 and 36? (a) 26 (b) 22 (c) 25 (d) 30
  8. 8.What is the median of 36, 14, 33, 11, 35, 7 and 2? (a) 14 (b) 11 (c) 33 (d) 15
  9. 9.The mean of 6 numbers is 37. When the number 23 is added to them, what is the new mean? (a) 30 (b) 37 (c) 36 (d) 35
  10. 10.What is the mean of 20, 16, 10 and 6? (a) 14 (b) 12 (c) 15 (d) 13
  11. 11.The mean of 7 numbers is 34. When the number 26 is added to them, what is the new mean? (a) 33 (b) 30 (c) 34 (d) 32
  12. 12.What is the median of 33, 32, 26, 40 and 24? (a) 26 (b) 32 (c) 33 (d) 31
  13. 13.What is the median of 7, 5, 26, 9 and 31? (a) 9 (b) 10 (c) 7 (d) 26
  14. 14.The mean of 9 numbers is 14. When the number 24 is added to them, what is the new mean? (a) 19 (b) 14 (c) 16 (d) 15
  15. 15.The mean of 5 numbers is 21. When the number 15 is added to them, what is the new mean? (a) 19 (b) 18 (c) 20 (d) 21
  16. 16.The mean of 4 numbers is 32. When the number 42 is added to them, what is the new mean? (a) 32 (b) 35 (c) 37 (d) 34
  17. 17.The mean of 5 numbers is 29. When the number 41 is added to them, what is the new mean? (a) 31 (b) 32 (c) 29 (d) 35
  18. 18.What is the mean of 15, 4, 2, 16 and 18? (a) 12 (b) 11 (c) 13 (d) 10
  19. 19.What is the mean of 3, 18, 16, 17 and 21? (a) 14 (b) 15 (c) 17 (d) 16
  20. 20.What is the median of 31, 8, 34, 17, 3, 14 and 28? (a) 17 (b) 14 (c) 28 (d) 18
  21. 21.What is the mode of 19, 6, 20, 6, 10, 6 and 19? (a) 20 (b) 6 (c) 10 (d) 19
  22. 22.What is the median of 3, 4, 12, 8 and 7? (a) 8 (b) 7 (c) 4 (d) 12
  23. 23.The mean of 7 numbers is 28. When the number 44 is added to them, what is the new mean? (a) 31 (b) 28 (c) 36 (d) 30
  24. 24.The mean of 9 numbers is 34. When the number 64 is added to them, what is the new mean? (a) 49 (b) 37 (c) 38 (d) 34
  25. 25.The mean of 8 numbers is 34. When the number 70 is added to them, what is the new mean? (a) 52 (b) 34 (c) 38 (d) 39
  26. 26.What is the median of 39, 7, 23, 1 and 21? (a) 7 (b) 21 (c) 22 (d) 23
  27. 27.What is the median of 6, 14, 18, 11 and 19? (a) 15 (b) 11 (c) 18 (d) 14
  28. 28.What is the mode of 9, 13, 13, 1, 1, 1 and 12? (a) 12 (b) 13 (c) 9 (d) 1
  29. 29.What is the mean of 13, 17, 13 and 9? (a) 14 (b) 13 (c) 15 (d) 12
  30. 30.What is the median of 2, 18, 9, 23, 17, 16 and 8? (a) 23 (b) 16 (c) 9 (d) 17
  31. 31.What is the mode of 11, 11, 11, 9, 9, 3 and 6? (a) 9 (b) 3 (c) 6 (d) 11
  32. 32.What is the median of 34, 24, 1, 32, 35, 27 and 8? (a) 24 (b) 23 (c) 27 (d) 32
  33. 33.What is the mean of 15, 12, 9 and 12? (a) 13 (b) 16 (c) 11 (d) 12
  34. 34.The mean of 4 numbers is 36. When the number 31 is added to them, what is the new mean? (a) 34 (b) 37 (c) 35 (d) 36
  35. 35.What is the mode of 5, 1, 5, 4, 19, 5 and 19? (a) 4 (b) 19 (c) 5 (d) 1
  36. 36.What is the mode of 12, 15, 11, 11, 17, 11 and 17? (a) 15 (b) 12 (c) 17 (d) 11
  37. 37.What is the median of 27, 25, 3, 15, 14, 28 and 23? (a) 25 (b) 15 (c) 24 (d) 23
  38. 38.What is the mode of 2, 4, 2, 4, 3, 9 and 2? (a) 2 (b) 9 (c) 4 (d) 3
  39. 39.What is the mode of 15, 15, 3, 3, 10, 3 and 17? (a) 10 (b) 3 (c) 15 (d) 17
  40. 40.What is the mean of 3, 3, 20, 12, 8 and 14? (a) 11 (b) 9 (c) 10 (d) 12

Answer key

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

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