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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 662 · 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 8 numbers is 35. When the number 17 is added to them, what is the new mean? (a) 33 (b) 35 (c) 26 (d) 34
  2. 2.What is the median of 32, 31, 8, 10, 25, 5 and 17? (a) 10 (b) 17 (c) 25 (d) 18
  3. 3.What is the median of 32, 1, 27, 17 and 10? (a) 17 (b) 27 (c) 10 (d) 18
  4. 4.What is the median of 4, 6, 21, 38, 23, 5 and 36? (a) 23 (b) 19 (c) 21 (d) 38
  5. 5.What is the mode of 11, 18, 18, 11, 11, 14 and 17? (a) 14 (b) 18 (c) 17 (d) 11
  6. 6.The mean of 4 numbers is 24. When the number 39 is added to them, what is the new mean? (a) 27 (b) 24 (c) 26 (d) 28
  7. 7.The mean of 7 numbers is 35. When the number 27 is added to them, what is the new mean? (a) 34 (b) 35 (c) 31 (d) 33
  8. 8.The mean of 7 numbers is 14. When the number 22 is added to them, what is the new mean? (a) 14 (b) 15 (c) 16 (d) 18
  9. 9.What is the mode of 8, 8, 15, 8, 6, 19 and 15? (a) 8 (b) 19 (c) 15 (d) 6
  10. 10.The mean of 4 numbers is 13. When the number 28 is added to them, what is the new mean? (a) 16 (b) 15 (c) 13 (d) 17
  11. 11.What is the median of 20, 21, 4, 8, 13, 30 and 7? (a) 8 (b) 14 (c) 13 (d) 20
  12. 12.What is the mean of 12, 13, 18, 18, 7 and 10? (a) 14 (b) 12 (c) 13 (d) 15
  13. 13.What is the mode of 6, 17, 12, 6, 4, 6 and 4? (a) 6 (b) 4 (c) 12 (d) 17
  14. 14.What is the mean of 11, 7, 2 and 20? (a) 8 (b) 9 (c) 10 (d) 11
  15. 15.What is the median of 23, 18, 31, 12 and 4? (a) 12 (b) 23 (c) 31 (d) 18
  16. 16.What is the mode of 18, 4, 9, 9, 4, 4 and 2? (a) 4 (b) 18 (c) 2 (d) 9
  17. 17.The mean of 4 numbers is 13. When the number 23 is added to them, what is the new mean? (a) 18 (b) 15 (c) 13 (d) 16
  18. 18.What is the mean of 6, 5, 15 and 14? (a) 8 (b) 11 (c) 10 (d) 9
  19. 19.What is the mode of 1, 9, 3, 1, 9, 11 and 9? (a) 3 (b) 11 (c) 1 (d) 9
  20. 20.What is the median of 2, 39, 16, 37, 5, 6 and 1? (a) 5 (b) 16 (c) 6 (d) 37
  21. 21.The mean of 5 numbers is 17. When the number 35 is added to them, what is the new mean? (a) 20 (b) 21 (c) 17 (d) 26
  22. 22.The mean of 7 numbers is 37. When the number 13 is added to them, what is the new mean? (a) 25 (b) 35 (c) 37 (d) 34
  23. 23.The mean of 4 numbers is 33. When the number 48 is added to them, what is the new mean? (a) 37 (b) 35 (c) 36 (d) 33
  24. 24.The mean of 9 numbers is 24. When the number 4 is added to them, what is the new mean? (a) 24 (b) 23 (c) 14 (d) 22
  25. 25.What is the median of 12, 11, 31, 18, 20, 30 and 15? (a) 19 (b) 20 (c) 15 (d) 18
  26. 26.What is the mode of 5, 20, 11, 20, 19, 20 and 19? (a) 5 (b) 19 (c) 20 (d) 11
  27. 27.The mean of 4 numbers is 27. When the number 17 is added to them, what is the new mean? (a) 25 (b) 27 (c) 26 (d) 22
  28. 28.What is the mean of 4, 16, 10, 5, 8 and 5? (a) 9 (b) 10 (c) 7 (d) 8
  29. 29.What is the median of 18, 11, 8, 22, 10, 7 and 20? (a) 11 (b) 10 (c) 18 (d) 22
  30. 30.What is the mode of 7, 2, 11, 4, 11, 11 and 2? (a) 7 (b) 2 (c) 4 (d) 11
  31. 31.What is the mean of 13, 4, 17 and 6? (a) 9 (b) 10 (c) 11 (d) 8
  32. 32.What is the mode of 15, 15, 17, 18, 14, 18 and 15? (a) 17 (b) 14 (c) 15 (d) 18
  33. 33.The mean of 8 numbers is 38. When the number 11 is added to them, what is the new mean? (a) 35 (b) 38 (c) 36 (d) 34
  34. 34.What is the median of 6, 36, 25, 7, 4, 15 and 18? (a) 15 (b) 18 (c) 7 (d) 16
  35. 35.What is the median of 22, 38, 20, 30, 27, 25 and 18? (a) 27 (b) 30 (c) 22 (d) 25
  36. 36.What is the median of 12, 35, 27, 8 and 4? (a) 8 (b) 12 (c) 13 (d) 27
  37. 37.What is the median of 18, 8, 10, 3 and 26? (a) 13 (b) 18 (c) 8 (d) 10
  38. 38.What is the mean of 20, 8, 2 and 6? (a) 9 (b) 10 (c) 8 (d) 12
  39. 39.What is the mean of 3, 11, 4 and 10? (a) 8 (b) 9 (c) 7 (d) 6
  40. 40.What is the median of 24, 14, 6, 29, 27, 18 and 23? (a) 18 (b) 24 (c) 23 (d) 29

Answer key

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

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