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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 804 · 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 7 numbers is 15. When the number 23 is added to them, what is the new mean? (a) 17 (b) 16 (c) 19 (d) 15
  2. 2.What is the mode of 13, 19, 19, 10, 19, 10 and 2? (a) 10 (b) 2 (c) 19 (d) 13
  3. 3.What is the mean of 10, 20, 5 and 9? (a) 13 (b) 12 (c) 11 (d) 10
  4. 4.What is the mean of 11, 7, 12, 20, 18 and 16? (a) 13 (b) 15 (c) 14 (d) 12
  5. 5.What is the median of 15, 35, 23, 20 and 9? (a) 20 (b) 15 (c) 21 (d) 23
  6. 6.The mean of 5 numbers is 18. When the number 42 is added to them, what is the new mean? (a) 22 (b) 30 (c) 18 (d) 23
  7. 7.What is the mean of 12, 16, 2 and 14? (a) 13 (b) 11 (c) 12 (d) 10
  8. 8.What is the mode of 20, 6, 19, 20, 20, 9 and 9? (a) 9 (b) 20 (c) 19 (d) 6
  9. 9.What is the median of 3, 8, 22, 13, 40, 2 and 4? (a) 9 (b) 4 (c) 13 (d) 8
  10. 10.What is the mean of 5, 16, 13 and 18? (a) 13 (b) 12 (c) 14 (d) 15
  11. 11.What is the median of 23, 11, 9, 1, 7, 5 and 18? (a) 7 (b) 9 (c) 11 (d) 1
  12. 12.What is the mean of 15, 18, 10, 10 and 12? (a) 12 (b) 15 (c) 13 (d) 14
  13. 13.What is the median of 34, 18, 16, 25, 14, 21 and 35? (a) 25 (b) 18 (c) 22 (d) 21
  14. 14.What is the median of 28, 15, 29, 11, 10, 19 and 26? (a) 15 (b) 26 (c) 11 (d) 19
  15. 15.What is the mode of 5, 8, 9, 9, 16, 16 and 9? (a) 9 (b) 5 (c) 8 (d) 16
  16. 16.What is the mean of 13, 3, 18 and 2? (a) 10 (b) 9 (c) 8 (d) 12
  17. 17.What is the mean of 15, 3, 4, 18, 15 and 11? (a) 10 (b) 11 (c) 12 (d) 13
  18. 18.The mean of 8 numbers is 25. When the number 43 is added to them, what is the new mean? (a) 27 (b) 34 (c) 25 (d) 28
  19. 19.What is the median of 39, 37, 7, 4, 8, 13 and 30? (a) 4 (b) 8 (c) 30 (d) 13
  20. 20.What is the mode of 7, 1, 10, 1, 4, 1 and 7? (a) 1 (b) 4 (c) 7 (d) 10
  21. 21.What is the median of 26, 23, 29, 5 and 36? (a) 29 (b) 26 (c) 23 (d) 27
  22. 22.What is the median of 3, 17, 2, 18 and 22? (a) 3 (b) 2 (c) 18 (d) 17
  23. 23.What is the mode of 20, 19, 15, 4, 19, 19 and 20? (a) 19 (b) 15 (c) 20 (d) 4
  24. 24.What is the mean of 20, 17, 6, 18 and 19? (a) 17 (b) 16 (c) 20 (d) 15
  25. 25.The mean of 6 numbers is 22. When the number 1 is added to them, what is the new mean? (a) 20 (b) 22 (c) 19 (d) 18
  26. 26.The mean of 8 numbers is 26. When the number 8 is added to them, what is the new mean? (a) 25 (b) 17 (c) 26 (d) 24
  27. 27.What is the mean of 14, 20, 17, 11, 17 and 11? (a) 16 (b) 18 (c) 15 (d) 14
  28. 28.What is the median of 16, 21, 7, 4, 40, 30 and 33? (a) 4 (b) 21 (c) 16 (d) 30
  29. 29.The mean of 7 numbers is 25. When the number 57 is added to them, what is the new mean? (a) 41 (b) 25 (c) 29 (d) 30
  30. 30.What is the mean of 2, 16, 19, 6 and 17? (a) 13 (b) 10 (c) 12 (d) 15
  31. 31.What is the mode of 14, 20, 1, 20, 16, 20 and 1? (a) 1 (b) 16 (c) 20 (d) 14
  32. 32.What is the median of 23, 36, 35, 17 and 6? (a) 35 (b) 24 (c) 17 (d) 23
  33. 33.What is the median of 39, 10, 13, 7 and 37? (a) 14 (b) 37 (c) 10 (d) 13
  34. 34.The mean of 9 numbers is 26. When the number 66 is added to them, what is the new mean? (a) 46 (b) 30 (c) 26 (d) 31
  35. 35.What is the median of 17, 34, 22, 25, 18, 3 and 5? (a) 22 (b) 25 (c) 17 (d) 18
  36. 36.What is the mean of 20, 3, 16 and 9? (a) 13 (b) 11 (c) 16 (d) 12
  37. 37.What is the mode of 20, 20, 3, 1, 2, 3 and 20? (a) 1 (b) 2 (c) 3 (d) 20
  38. 38.The mean of 8 numbers is 35. When the number 26 is added to them, what is the new mean? (a) 34 (b) 35 (c) 36 (d) 33
  39. 39.What is the median of 26, 24, 17, 16 and 36? (a) 17 (b) 25 (c) 24 (d) 26
  40. 40.The mean of 7 numbers is 18. When the number 10 is added to them, what is the new mean? (a) 16 (b) 17 (c) 14 (d) 18

Answer key

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

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