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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 822 · 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 mode of 20, 2, 13, 13, 11, 13 and 11? (a) 13 (b) 20 (c) 2 (d) 11
  2. 2.What is the median of 40, 8, 18, 24 and 17? (a) 18 (b) 19 (c) 24 (d) 17
  3. 3.What is the mean of 8, 12, 15, 4 and 6? (a) 11 (b) 8 (c) 10 (d) 9
  4. 4.What is the mode of 12, 14, 18, 18, 13, 18 and 12? (a) 13 (b) 14 (c) 18 (d) 12
  5. 5.What is the mode of 12, 3, 19, 9, 19, 19 and 12? (a) 12 (b) 9 (c) 19 (d) 3
  6. 6.The mean of 3 numbers is 12. When the number 16 is added to them, what is the new mean? (a) 14 (b) 15 (c) 12 (d) 13
  7. 7.What is the mean of 14, 8, 7, 19 and 12? (a) 15 (b) 10 (c) 12 (d) 13
  8. 8.What is the median of 36, 39, 33, 14 and 24? (a) 36 (b) 24 (c) 33 (d) 34
  9. 9.What is the mode of 18, 12, 12, 6, 18, 19 and 18? (a) 6 (b) 19 (c) 18 (d) 12
  10. 10.The mean of 5 numbers is 34. When the number 52 is added to them, what is the new mean? (a) 43 (b) 34 (c) 37 (d) 38
  11. 11.The mean of 4 numbers is 14. When the number 24 is added to them, what is the new mean? (a) 19 (b) 16 (c) 17 (d) 14
  12. 12.What is the mode of 1, 3, 1, 18, 1, 3 and 5? (a) 18 (b) 5 (c) 1 (d) 3
  13. 13.What is the mode of 6, 20, 20, 11, 6, 20 and 3? (a) 11 (b) 3 (c) 6 (d) 20
  14. 14.What is the mode of 8, 8, 8, 15, 18, 1 and 1? (a) 15 (b) 8 (c) 18 (d) 1
  15. 15.What is the mean of 12, 4, 10 and 2? (a) 8 (b) 9 (c) 6 (d) 7
  16. 16.The mean of 4 numbers is 25. When the number 5 is added to them, what is the new mean? (a) 22 (b) 15 (c) 25 (d) 21
  17. 17.What is the median of 21, 19, 39, 12 and 9? (a) 39 (b) 20 (c) 19 (d) 21
  18. 18.What is the mode of 5, 5, 19, 5, 1, 10 and 10? (a) 5 (b) 19 (c) 10 (d) 1
  19. 19.What is the mean of 7, 11, 17, 3, 9 and 7? (a) 8 (b) 11 (c) 10 (d) 9
  20. 20.The mean of 9 numbers is 26. When the number 16 is added to them, what is the new mean? (a) 26 (b) 25 (c) 24 (d) 21
  21. 21.What is the mean of 11, 6, 9 and 6? (a) 10 (b) 8 (c) 9 (d) 7
  22. 22.The mean of 3 numbers is 20. When the number 24 is added to them, what is the new mean? (a) 21 (b) 23 (c) 22 (d) 20
  23. 23.What is the median of 8, 29, 13, 4, 11, 37 and 14? (a) 4 (b) 11 (c) 13 (d) 14
  24. 24.What is the mean of 8, 14, 17, 16 and 15? (a) 13 (b) 16 (c) 15 (d) 14
  25. 25.What is the mean of 2, 10, 4 and 12? (a) 6 (b) 9 (c) 7 (d) 8
  26. 26.The mean of 6 numbers is 15. When the number 22 is added to them, what is the new mean? (a) 18 (b) 15 (c) 16 (d) 17
  27. 27.What is the median of 9, 14, 26, 11 and 4? (a) 26 (b) 11 (c) 9 (d) 14
  28. 28.What is the median of 36, 10, 33, 32, 2, 23 and 30? (a) 31 (b) 23 (c) 30 (d) 32
  29. 29.What is the mode of 4, 17, 18, 4, 17, 17 and 6? (a) 17 (b) 18 (c) 6 (d) 4
  30. 30.What is the mode of 15, 2, 5, 2, 6, 2 and 5? (a) 5 (b) 6 (c) 2 (d) 15
  31. 31.What is the median of 24, 34, 28, 25, 5, 4 and 38? (a) 24 (b) 26 (c) 25 (d) 28
  32. 32.What is the median of 8, 2, 17, 19, 6, 27 and 14? (a) 19 (b) 14 (c) 17 (d) 8
  33. 33.What is the mode of 4, 5, 1, 16, 4, 16 and 16? (a) 5 (b) 16 (c) 4 (d) 1
  34. 34.The mean of 9 numbers is 32. When the number 12 is added to them, what is the new mean? (a) 22 (b) 32 (c) 31 (d) 30
  35. 35.What is the median of 34, 9, 29, 5, 30, 3 and 10? (a) 10 (b) 9 (c) 5 (d) 29
  36. 36.What is the mean of 2, 16, 11, 14, 12 and 11? (a) 10 (b) 13 (c) 11 (d) 12
  37. 37.The mean of 3 numbers is 21. When the number 29 is added to them, what is the new mean? (a) 21 (b) 23 (c) 24 (d) 25
  38. 38.What is the median of 30, 39, 6, 23 and 11? (a) 30 (b) 11 (c) 6 (d) 23
  39. 39.What is the mean of 13, 9, 17, 3 and 8? (a) 9 (b) 12 (c) 10 (d) 11
  40. 40.The mean of 6 numbers is 22. When the number 8 is added to them, what is the new mean? (a) 22 (b) 15 (c) 21 (d) 20

Answer key

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

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