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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 874 · 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 17, 19, 14, 7, 11 and 22? (a) 14 (b) 16 (c) 15 (d) 18
  2. 2.What is the mean of 15, 12, 6, 12, 9 and 12? (a) 13 (b) 12 (c) 10 (d) 11
  3. 3.What is the median of 31, 23, 6, 2, 37, 35 and 26? (a) 23 (b) 31 (c) 26 (d) 2
  4. 4.What is the mode of 2, 16, 11, 6, 6, 6 and 2? (a) 11 (b) 2 (c) 16 (d) 6
  5. 5.The mean of 6 numbers is 33. When the number 5 is added to them, what is the new mean? (a) 29 (b) 30 (c) 33 (d) 19
  6. 6.What is the mode of 11, 5, 4, 5, 11, 16 and 5? (a) 5 (b) 4 (c) 16 (d) 11
  7. 7.What is the mode of 7, 17, 7, 11, 19, 7 and 17? (a) 11 (b) 7 (c) 17 (d) 19
  8. 8.What is the median of 10, 2, 33, 32 and 24? (a) 32 (b) 10 (c) 24 (d) 33
  9. 9.The mean of 3 numbers is 33. When the number 37 is added to them, what is the new mean? (a) 33 (b) 35 (c) 36 (d) 34
  10. 10.What is the median of 3, 38, 6, 22 and 9? (a) 10 (b) 9 (c) 6 (d) 22
  11. 11.What is the mode of 2, 12, 12, 18, 2, 5 and 2? (a) 18 (b) 2 (c) 5 (d) 12
  12. 12.The mean of 5 numbers is 40. When the number 22 is added to them, what is the new mean? (a) 38 (b) 31 (c) 37 (d) 40
  13. 13.What is the mode of 3, 2, 2, 5, 9, 9 and 9? (a) 2 (b) 3 (c) 5 (d) 9
  14. 14.What is the median of 21, 37, 35, 24, 4, 11 and 1? (a) 24 (b) 19 (c) 21 (d) 11
  15. 15.The mean of 4 numbers is 23. When the number 38 is added to them, what is the new mean? (a) 23 (b) 26 (c) 27 (d) 25
  16. 16.What is the mode of 20, 3, 15, 20, 14, 14 and 14? (a) 15 (b) 14 (c) 3 (d) 20
  17. 17.What is the mode of 20, 7, 7, 7, 19, 1 and 20? (a) 20 (b) 1 (c) 7 (d) 19
  18. 18.What is the mean of 12, 20, 17, 8, 11 and 4? (a) 14 (b) 13 (c) 12 (d) 11
  19. 19.What is the mean of 3, 10, 10, 9 and 23? (a) 12 (b) 10 (c) 11 (d) 13
  20. 20.The mean of 3 numbers is 14. When the number 30 is added to them, what is the new mean? (a) 19 (b) 14 (c) 22 (d) 18
  21. 21.The mean of 8 numbers is 25. When the number 34 is added to them, what is the new mean? (a) 25 (b) 28 (c) 26 (d) 27
  22. 22.The mean of 8 numbers is 22. When the number 31 is added to them, what is the new mean? (a) 24 (b) 23 (c) 22 (d) 25
  23. 23.What is the mean of 3, 14, 11 and 16? (a) 11 (b) 12 (c) 10 (d) 13
  24. 24.What is the mean of 2, 6, 6 and 18? (a) 7 (b) 9 (c) 8 (d) 10
  25. 25.What is the median of 16, 17, 8, 19, 37, 22 and 21? (a) 19 (b) 17 (c) 20 (d) 21
  26. 26.The mean of 8 numbers is 23. When the number 14 is added to them, what is the new mean? (a) 21 (b) 22 (c) 23 (d) 24
  27. 27.What is the mean of 2, 6, 5, 9, 18 and 8? (a) 10 (b) 9 (c) 7 (d) 8
  28. 28.What is the mean of 18, 9, 20 and 17? (a) 15 (b) 16 (c) 17 (d) 18
  29. 29.What is the mode of 4, 4, 12, 11, 12, 19 and 4? (a) 11 (b) 12 (c) 19 (d) 4
  30. 30.What is the mean of 3, 7, 9, 17, 14 and 4? (a) 10 (b) 11 (c) 8 (d) 9
  31. 31.What is the mode of 18, 14, 18, 13, 14, 14 and 10? (a) 18 (b) 13 (c) 10 (d) 14
  32. 32.What is the mode of 10, 17, 17, 10, 16, 17 and 4? (a) 10 (b) 17 (c) 4 (d) 16
  33. 33.What is the mean of 19, 8, 5, 12, 12 and 10? (a) 10 (b) 13 (c) 11 (d) 12
  34. 34.What is the mode of 10, 1, 1, 10, 13, 10 and 4? (a) 1 (b) 13 (c) 4 (d) 10
  35. 35.The mean of 4 numbers is 34. When the number 49 is added to them, what is the new mean? (a) 34 (b) 37 (c) 36 (d) 38
  36. 36.What is the median of 25, 40, 7, 22, 36, 38 and 17? (a) 22 (b) 36 (c) 26 (d) 25
  37. 37.What is the mean of 17, 19, 3, 6, 18 and 3? (a) 10 (b) 12 (c) 11 (d) 13
  38. 38.What is the median of 36, 19, 7, 26, 38, 31 and 40? (a) 36 (b) 26 (c) 31 (d) 32
  39. 39.What is the mean of 18, 18, 8, 12, 12 and 10? (a) 15 (b) 14 (c) 12 (d) 13
  40. 40.What is the median of 6, 7, 40, 19 and 17? (a) 19 (b) 17 (c) 7 (d) 40

Answer key

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

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