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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 284 · 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 16, 7, 16, 16, 1, 15 and 15? (a) 16 (b) 1 (c) 15 (d) 7
  2. 2.What is the mode of 5, 19, 6, 6, 3, 3 and 6? (a) 3 (b) 5 (c) 19 (d) 6
  3. 3.What is the mode of 4, 3, 12, 20, 12, 4 and 4? (a) 20 (b) 4 (c) 12 (d) 3
  4. 4.The mean of 7 numbers is 21. When the number 53 is added to them, what is the new mean? (a) 25 (b) 37 (c) 26 (d) 21
  5. 5.The mean of 3 numbers is 39. When the number 51 is added to them, what is the new mean? (a) 45 (b) 43 (c) 39 (d) 42
  6. 6.What is the median of 21, 28, 27, 8, 11, 30 and 6? (a) 8 (b) 21 (c) 27 (d) 11
  7. 7.The mean of 6 numbers is 29. When the number 15 is added to them, what is the new mean? (a) 27 (b) 28 (c) 29 (d) 22
  8. 8.What is the median of 35, 17, 24, 39, 14, 4 and 34? (a) 39 (b) 17 (c) 24 (d) 34
  9. 9.What is the median of 13, 27, 2, 36 and 8? (a) 2 (b) 13 (c) 8 (d) 27
  10. 10.The mean of 8 numbers is 24. When the number 33 is added to them, what is the new mean? (a) 26 (b) 24 (c) 27 (d) 25
  11. 11.What is the mode of 16, 4, 16, 4, 9, 15 and 16? (a) 4 (b) 9 (c) 16 (d) 15
  12. 12.What is the median of 38, 29, 17, 24, 26, 30 and 8? (a) 27 (b) 26 (c) 24 (d) 29
  13. 13.The mean of 5 numbers is 27. When the number 45 is added to them, what is the new mean? (a) 36 (b) 27 (c) 30 (d) 31
  14. 14.What is the mean of 11, 2, 16 and 19? (a) 16 (b) 11 (c) 13 (d) 12
  15. 15.The mean of 9 numbers is 24. When the number 44 is added to them, what is the new mean? (a) 26 (b) 27 (c) 34 (d) 24
  16. 16.What is the mode of 6, 11, 14, 14, 14, 1 and 6? (a) 1 (b) 11 (c) 6 (d) 14
  17. 17.The mean of 6 numbers is 39. When the number 18 is added to them, what is the new mean? (a) 39 (b) 37 (c) 35 (d) 36
  18. 18.The mean of 3 numbers is 38. When the number 46 is added to them, what is the new mean? (a) 42 (b) 41 (c) 38 (d) 40
  19. 19.What is the median of 36, 13, 27, 6 and 39? (a) 27 (b) 13 (c) 36 (d) 28
  20. 20.What is the mean of 16, 6, 16, 7 and 5? (a) 11 (b) 12 (c) 9 (d) 10
  21. 21.What is the mean of 18, 14, 10, 20, 17 and 5? (a) 13 (b) 14 (c) 15 (d) 12
  22. 22.What is the mean of 12, 20, 8 and 4? (a) 13 (b) 10 (c) 12 (d) 11
  23. 23.The mean of 5 numbers is 21. When the number 39 is added to them, what is the new mean? (a) 30 (b) 24 (c) 21 (d) 25
  24. 24.What is the mean of 4, 19, 8, 5, 20 and 16? (a) 11 (b) 13 (c) 12 (d) 14
  25. 25.What is the mode of 15, 14, 14, 17, 10, 10 and 10? (a) 14 (b) 10 (c) 15 (d) 17
  26. 26.What is the mean of 8, 16, 15, 11 and 15? (a) 14 (b) 12 (c) 13 (d) 15
  27. 27.What is the mode of 8, 19, 8, 19, 16, 19 and 2? (a) 19 (b) 8 (c) 16 (d) 2
  28. 28.The mean of 5 numbers is 39. When the number 21 is added to them, what is the new mean? (a) 37 (b) 36 (c) 39 (d) 30
  29. 29.What is the mode of 10, 5, 5, 19, 3, 19 and 5? (a) 19 (b) 3 (c) 10 (d) 5
  30. 30.What is the mode of 7, 4, 11, 7, 11, 11 and 2? (a) 11 (b) 7 (c) 4 (d) 2
  31. 31.What is the mode of 16, 16, 17, 15, 4, 4 and 16? (a) 15 (b) 16 (c) 17 (d) 4
  32. 32.What is the mode of 8, 14, 20, 2, 2, 2 and 8? (a) 20 (b) 2 (c) 14 (d) 8
  33. 33.What is the median of 12, 22, 26, 4 and 20? (a) 12 (b) 26 (c) 22 (d) 20
  34. 34.What is the mean of 6, 18, 11, 2, 14 and 15? (a) 13 (b) 11 (c) 12 (d) 10
  35. 35.The mean of 8 numbers is 32. When the number 41 is added to them, what is the new mean? (a) 34 (b) 32 (c) 35 (d) 33
  36. 36.What is the median of 10, 11, 8, 19 and 33? (a) 19 (b) 10 (c) 8 (d) 11
  37. 37.What is the mean of 12, 4, 8, 2 and 4? (a) 5 (b) 8 (c) 6 (d) 7
  38. 38.What is the mean of 8, 19, 20, 17 and 11? (a) 14 (b) 15 (c) 17 (d) 16
  39. 39.What is the mean of 10, 5, 3 and 22? (a) 11 (b) 9 (c) 8 (d) 10
  40. 40.The mean of 9 numbers is 20. When the number 50 is added to them, what is the new mean? (a) 24 (b) 23 (c) 35 (d) 20

Answer key

  1. 16
  2. 6
  3. 4
  4. 25
  5. 42
  6. 21
  7. 27
  8. 24
  9. 13
  10. 25
  11. 16
  12. 26
  13. 30
  14. 12
  15. 26
  16. 14
  17. 36
  18. 40
  19. 27
  20. 10
  21. 14
  22. 11
  23. 24
  24. 12
  25. 10
  26. 13
  27. 19
  28. 36
  29. 5
  30. 11
  31. 16
  32. 2
  33. 20
  34. 11
  35. 33
  36. 11
  37. 6
  38. 15
  39. 10
  40. 23

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