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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 835 · 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 9 numbers is 23. When the number 53 is added to them, what is the new mean? (a) 23 (b) 38 (c) 27 (d) 26
  2. 2.What is the median of 15, 23, 29, 30, 39, 21 and 37? (a) 23 (b) 29 (c) 30 (d) 28
  3. 3.What is the mean of 10, 17, 2 and 11? (a) 9 (b) 11 (c) 10 (d) 8
  4. 4.What is the mean of 9, 9, 10 and 12? (a) 9 (b) 10 (c) 11 (d) 8
  5. 5.What is the mode of 4, 12, 4, 4, 1, 6 and 1? (a) 4 (b) 12 (c) 6 (d) 1
  6. 6.What is the mode of 1, 17, 1, 1, 9, 15 and 15? (a) 17 (b) 15 (c) 1 (d) 9
  7. 7.What is the mode of 13, 13, 14, 13, 6, 19 and 19? (a) 14 (b) 13 (c) 19 (d) 6
  8. 8.What is the mode of 13, 8, 8, 4, 8, 11 and 4? (a) 13 (b) 4 (c) 11 (d) 8
  9. 9.The mean of 5 numbers is 33. When the number 45 is added to them, what is the new mean? (a) 39 (b) 36 (c) 35 (d) 33
  10. 10.The mean of 8 numbers is 14. When the number 23 is added to them, what is the new mean? (a) 14 (b) 16 (c) 15 (d) 17
  11. 11.What is the median of 37, 8, 27, 12, 35, 11 and 38? (a) 35 (b) 24 (c) 12 (d) 27
  12. 12.What is the mean of 13, 5, 13, 9, 10 and 4? (a) 8 (b) 11 (c) 10 (d) 9
  13. 13.What is the median of 4, 27, 36, 8 and 33? (a) 33 (b) 8 (c) 36 (d) 27
  14. 14.What is the mode of 3, 3, 16, 16, 16, 4 and 13? (a) 13 (b) 16 (c) 4 (d) 3
  15. 15.What is the mode of 13, 8, 13, 6, 13, 15 and 8? (a) 6 (b) 13 (c) 15 (d) 8
  16. 16.What is the mode of 4, 16, 16, 5, 4, 4 and 15? (a) 4 (b) 16 (c) 5 (d) 15
  17. 17.What is the median of 24, 1, 40, 22, 33, 28 and 6? (a) 28 (b) 25 (c) 22 (d) 24
  18. 18.What is the median of 36, 24, 23, 28, 25, 27 and 3? (a) 27 (b) 24 (c) 28 (d) 25
  19. 19.What is the mean of 2, 5, 8, 10, 2 and 15? (a) 8 (b) 6 (c) 9 (d) 7
  20. 20.What is the mean of 7, 13, 4, 15 and 11? (a) 12 (b) 11 (c) 9 (d) 10
  21. 21.What is the median of 30, 2, 12, 3, 24, 16 and 1? (a) 3 (b) 16 (c) 13 (d) 12
  22. 22.The mean of 4 numbers is 40. When the number 45 is added to them, what is the new mean? (a) 42 (b) 40 (c) 41 (d) 43
  23. 23.What is the mean of 16, 7, 18 and 15? (a) 13 (b) 16 (c) 14 (d) 15
  24. 24.What is the mean of 10, 20, 14 and 12? (a) 13 (b) 15 (c) 16 (d) 14
  25. 25.What is the mean of 20, 20, 3, 8 and 4? (a) 11 (b) 10 (c) 12 (d) 13
  26. 26.What is the mean of 6, 14, 16 and 12? (a) 11 (b) 12 (c) 16 (d) 13
  27. 27.The mean of 5 numbers is 31. When the number 25 is added to them, what is the new mean? (a) 31 (b) 29 (c) 28 (d) 30
  28. 28.The mean of 5 numbers is 34. When the number 28 is added to them, what is the new mean? (a) 34 (b) 33 (c) 31 (d) 32
  29. 29.What is the mode of 2, 13, 16, 4, 4, 2 and 4? (a) 4 (b) 13 (c) 16 (d) 2
  30. 30.The mean of 3 numbers is 18. When the number 14 is added to them, what is the new mean? (a) 17 (b) 16 (c) 18 (d) 19
  31. 31.What is the mode of 2, 5, 6, 15, 2, 2 and 6? (a) 2 (b) 6 (c) 15 (d) 5
  32. 32.What is the median of 38, 1, 8, 31 and 34? (a) 31 (b) 32 (c) 34 (d) 8
  33. 33.The mean of 8 numbers is 29. When the number 65 is added to them, what is the new mean? (a) 29 (b) 34 (c) 47 (d) 33
  34. 34.What is the mode of 9, 18, 18, 9, 15, 18 and 10? (a) 15 (b) 10 (c) 9 (d) 18
  35. 35.What is the median of 2, 36, 7, 24 and 4? (a) 24 (b) 8 (c) 7 (d) 4
  36. 36.What is the mode of 5, 9, 4, 4, 17, 5 and 4? (a) 5 (b) 17 (c) 4 (d) 9
  37. 37.The mean of 7 numbers is 40. When the number 16 is added to them, what is the new mean? (a) 28 (b) 37 (c) 38 (d) 40
  38. 38.What is the median of 35, 29, 15, 7 and 1? (a) 7 (b) 16 (c) 15 (d) 29
  39. 39.The mean of 8 numbers is 21. When the number 48 is added to them, what is the new mean? (a) 23 (b) 24 (c) 21 (d) 25
  40. 40.What is the median of 13, 39, 33, 7, 6, 34 and 16? (a) 7 (b) 16 (c) 13 (d) 33

Answer key

  1. 26
  2. 29
  3. 10
  4. 10
  5. 4
  6. 1
  7. 13
  8. 8
  9. 35
  10. 15
  11. 27
  12. 9
  13. 27
  14. 16
  15. 13
  16. 4
  17. 24
  18. 25
  19. 7
  20. 10
  21. 12
  22. 41
  23. 14
  24. 14
  25. 11
  26. 12
  27. 30
  28. 33
  29. 4
  30. 17
  31. 2
  32. 31
  33. 33
  34. 18
  35. 7
  36. 4
  37. 37
  38. 15
  39. 24
  40. 16

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