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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 153 · 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 median of 4, 29, 38, 39 and 25? (a) 29 (b) 27 (c) 25 (d) 38
  2. 2.What is the mode of 13, 1, 14, 13, 14, 13 and 18? (a) 14 (b) 1 (c) 13 (d) 18
  3. 3.What is the mean of 13, 10, 14, 6, 18 and 11? (a) 13 (b) 11 (c) 12 (d) 14
  4. 4.What is the mean of 11, 6, 4 and 7? (a) 9 (b) 6 (c) 7 (d) 8
  5. 5.What is the mean of 7, 6, 17 and 22? (a) 14 (b) 12 (c) 15 (d) 13
  6. 6.What is the mean of 15, 12, 7, 13, 2 and 23? (a) 14 (b) 11 (c) 12 (d) 13
  7. 7.What is the mode of 17, 17, 18, 18, 10, 17 and 2? (a) 18 (b) 10 (c) 17 (d) 2
  8. 8.The mean of 9 numbers is 36. When the number 6 is added to them, what is the new mean? (a) 36 (b) 33 (c) 21 (d) 34
  9. 9.What is the median of 32, 22, 24, 23 and 1? (a) 23 (b) 22 (c) 24 (d) 25
  10. 10.What is the median of 20, 6, 9, 10 and 15? (a) 10 (b) 9 (c) 12 (d) 15
  11. 11.What is the mean of 12, 5, 20, 18, 13 and 22? (a) 18 (b) 14 (c) 16 (d) 15
  12. 12.What is the mean of 5, 9, 17, 6, 17 and 6? (a) 12 (b) 11 (c) 10 (d) 9
  13. 13.The mean of 6 numbers is 15. When the number 8 is added to them, what is the new mean? (a) 14 (b) 13 (c) 16 (d) 15
  14. 14.What is the median of 5, 13, 33, 19 and 15? (a) 19 (b) 17 (c) 33 (d) 15
  15. 15.The mean of 3 numbers is 35. When the number 23 is added to them, what is the new mean? (a) 29 (b) 35 (c) 33 (d) 32
  16. 16.What is the mean of 3, 13, 17, 5, 14 and 14? (a) 10 (b) 11 (c) 12 (d) 13
  17. 17.What is the mean of 15, 2, 3 and 16? (a) 12 (b) 9 (c) 10 (d) 8
  18. 18.What is the mean of 16, 13, 14, 12, 14 and 21? (a) 15 (b) 16 (c) 14 (d) 18
  19. 19.The mean of 4 numbers is 33. When the number 48 is added to them, what is the new mean? (a) 35 (b) 37 (c) 33 (d) 36
  20. 20.What is the mode of 1, 1, 9, 19, 1, 6 and 9? (a) 9 (b) 19 (c) 6 (d) 1
  21. 21.The mean of 9 numbers is 15. When the number 45 is added to them, what is the new mean? (a) 18 (b) 19 (c) 30 (d) 15
  22. 22.What is the median of 33, 2, 16, 10, 37, 13 and 6? (a) 10 (b) 16 (c) 14 (d) 13
  23. 23.The mean of 6 numbers is 14. When the number 7 is added to them, what is the new mean? (a) 15 (b) 12 (c) 13 (d) 14
  24. 24.The mean of 5 numbers is 10. When the number 28 is added to them, what is the new mean? (a) 13 (b) 19 (c) 14 (d) 10
  25. 25.What is the mean of 12, 2, 20, 13, 11 and 14? (a) 14 (b) 11 (c) 13 (d) 12
  26. 26.What is the mean of 4, 16, 6 and 14? (a) 8 (b) 9 (c) 10 (d) 11
  27. 27.What is the median of 16, 9, 24, 38, 4, 36 and 11? (a) 24 (b) 38 (c) 11 (d) 16
  28. 28.What is the median of 33, 3, 19, 10, 20, 5 and 36? (a) 18 (b) 20 (c) 19 (d) 10
  29. 29.What is the median of 16, 3, 29, 4, 30, 27 and 9? (a) 9 (b) 16 (c) 27 (d) 4
  30. 30.The mean of 9 numbers is 18. When the number 38 is added to them, what is the new mean? (a) 28 (b) 20 (c) 18 (d) 21
  31. 31.The mean of 3 numbers is 26. When the number 38 is added to them, what is the new mean? (a) 30 (b) 32 (c) 26 (d) 29
  32. 32.What is the mode of 20, 12, 5, 5, 18, 18 and 18? (a) 5 (b) 18 (c) 20 (d) 12
  33. 33.What is the mode of 1, 4, 10, 4, 10, 10 and 15? (a) 4 (b) 10 (c) 1 (d) 15
  34. 34.What is the mode of 7, 15, 4, 4, 9, 4 and 7? (a) 7 (b) 9 (c) 4 (d) 15
  35. 35.What is the mode of 6, 7, 19, 6, 7, 6 and 4? (a) 7 (b) 6 (c) 4 (d) 19
  36. 36.What is the mean of 18, 16, 18, 10, 2 and 14? (a) 12 (b) 13 (c) 14 (d) 15
  37. 37.What is the mode of 17, 8, 17, 6, 19, 17 and 6? (a) 19 (b) 17 (c) 8 (d) 6
  38. 38.What is the mode of 4, 9, 4, 10, 10, 12 and 4? (a) 4 (b) 9 (c) 12 (d) 10
  39. 39.What is the mean of 17, 6, 18, 7, 11 and 19? (a) 13 (b) 14 (c) 15 (d) 12
  40. 40.What is the mode of 17, 1, 16, 6, 1, 17 and 1? (a) 16 (b) 17 (c) 6 (d) 1

Answer key

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

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