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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 650 · 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 5, 5, 6 and 12? (a) 8 (b) 6 (c) 9 (d) 7
  2. 2.What is the median of 9, 24, 14, 32 and 10? (a) 10 (b) 14 (c) 15 (d) 24
  3. 3.What is the median of 14, 12, 4, 19, 7, 6 and 9? (a) 19 (b) 9 (c) 12 (d) 7
  4. 4.What is the mean of 17, 4, 4, 12 and 23? (a) 13 (b) 12 (c) 15 (d) 10
  5. 5.What is the mode of 1, 20, 20, 5, 20, 12 and 12? (a) 12 (b) 20 (c) 5 (d) 1
  6. 6.What is the median of 6, 28, 19, 11, 32, 22 and 2? (a) 22 (b) 11 (c) 20 (d) 19
  7. 7.What is the median of 4, 21, 22, 7 and 40? (a) 7 (b) 22 (c) 20 (d) 21
  8. 8.The mean of 6 numbers is 20. When the number 6 is added to them, what is the new mean? (a) 13 (b) 18 (c) 20 (d) 19
  9. 9.The mean of 4 numbers is 21. When the number 11 is added to them, what is the new mean? (a) 21 (b) 16 (c) 19 (d) 20
  10. 10.The mean of 6 numbers is 16. When the number 9 is added to them, what is the new mean? (a) 14 (b) 15 (c) 17 (d) 16
  11. 11.What is the mean of 15, 2, 3, 8 and 12? (a) 7 (b) 9 (c) 10 (d) 8
  12. 12.What is the mode of 19, 5, 19, 15, 5, 5 and 6? (a) 5 (b) 6 (c) 19 (d) 15
  13. 13.What is the mean of 11, 19, 3, 2 and 5? (a) 9 (b) 7 (c) 10 (d) 8
  14. 14.The mean of 3 numbers is 30. When the number 42 is added to them, what is the new mean? (a) 30 (b) 33 (c) 36 (d) 34
  15. 15.What is the mean of 4, 6, 13, 20, 9 and 20? (a) 14 (b) 13 (c) 11 (d) 12
  16. 16.What is the median of 29, 20, 22, 10 and 27? (a) 23 (b) 20 (c) 22 (d) 27
  17. 17.The mean of 4 numbers is 33. When the number 53 is added to them, what is the new mean? (a) 38 (b) 37 (c) 33 (d) 43
  18. 18.What is the mean of 10, 19, 3 and 8? (a) 9 (b) 11 (c) 8 (d) 10
  19. 19.The mean of 6 numbers is 28. When the number 21 is added to them, what is the new mean? (a) 26 (b) 27 (c) 29 (d) 28
  20. 20.What is the mode of 18, 15, 8, 8, 8, 3 and 15? (a) 8 (b) 18 (c) 3 (d) 15
  21. 21.What is the median of 6, 28, 2, 1, 21, 38 and 39? (a) 1 (b) 28 (c) 6 (d) 21
  22. 22.The mean of 4 numbers is 35. When the number 55 is added to them, what is the new mean? (a) 45 (b) 35 (c) 39 (d) 40
  23. 23.What is the mean of 7, 12, 8 and 17? (a) 12 (b) 13 (c) 10 (d) 11
  24. 24.What is the mode of 2, 8, 8, 17, 2, 2 and 7? (a) 17 (b) 7 (c) 8 (d) 2
  25. 25.What is the mean of 17, 15, 18, 16, 7 and 17? (a) 14 (b) 15 (c) 16 (d) 18
  26. 26.The mean of 5 numbers is 28. When the number 46 is added to them, what is the new mean? (a) 32 (b) 28 (c) 37 (d) 31
  27. 27.What is the median of 20, 26, 32, 17 and 39? (a) 32 (b) 20 (c) 27 (d) 26
  28. 28.What is the mean of 13, 2, 15, 3, 19 and 14? (a) 12 (b) 10 (c) 11 (d) 13
  29. 29.What is the mode of 6, 6, 4, 10, 15, 15 and 15? (a) 10 (b) 15 (c) 6 (d) 4
  30. 30.What is the mean of 2, 4, 4 and 14? (a) 6 (b) 8 (c) 5 (d) 7
  31. 31.What is the median of 28, 9, 16, 10 and 23? (a) 10 (b) 16 (c) 17 (d) 23
  32. 32.What is the mean of 8, 20, 20 and 16? (a) 18 (b) 16 (c) 17 (d) 15
  33. 33.The mean of 5 numbers is 15. When the number 33 is added to them, what is the new mean? (a) 15 (b) 18 (c) 19 (d) 24
  34. 34.What is the mean of 20, 14, 10, 16, 9 and 9? (a) 12 (b) 13 (c) 14 (d) 15
  35. 35.What is the mean of 4, 10, 17 and 5? (a) 8 (b) 10 (c) 9 (d) 12
  36. 36.What is the mode of 18, 8, 16, 18, 4, 8 and 8? (a) 16 (b) 4 (c) 8 (d) 18
  37. 37.What is the median of 3, 27, 24, 36 and 18? (a) 25 (b) 18 (c) 24 (d) 27
  38. 38.What is the mean of 6, 20, 12, 7 and 15? (a) 15 (b) 13 (c) 12 (d) 10
  39. 39.What is the median of 6, 36, 11, 34, 28, 20 and 22? (a) 22 (b) 34 (c) 20 (d) 28
  40. 40.What is the median of 8, 23, 14, 34, 35, 16 and 11? (a) 16 (b) 14 (c) 34 (d) 23

Answer key

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

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