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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 224 · 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 8 numbers is 37. When the number 19 is added to them, what is the new mean? (a) 28 (b) 37 (c) 35 (d) 36
  2. 2.What is the mode of 9, 7, 4, 13, 9, 9 and 4? (a) 7 (b) 13 (c) 9 (d) 4
  3. 3.What is the mean of 20, 10, 19, 16 and 5? (a) 16 (b) 13 (c) 14 (d) 15
  4. 4.The mean of 5 numbers is 18. When the number 30 is added to them, what is the new mean? (a) 24 (b) 21 (c) 20 (d) 18
  5. 5.What is the median of 3, 15, 9, 24 and 38? (a) 16 (b) 15 (c) 24 (d) 9
  6. 6.What is the median of 18, 8, 10, 4 and 11? (a) 11 (b) 8 (c) 9 (d) 10
  7. 7.What is the mode of 4, 10, 4, 7, 2, 4 and 10? (a) 7 (b) 10 (c) 4 (d) 2
  8. 8.The mean of 5 numbers is 34. When the number 52 is added to them, what is the new mean? (a) 34 (b) 37 (c) 43 (d) 38
  9. 9.What is the mean of 10, 15, 18 and 9? (a) 13 (b) 12 (c) 15 (d) 14
  10. 10.The mean of 3 numbers is 40. When the number 48 is added to them, what is the new mean? (a) 42 (b) 44 (c) 40 (d) 43
  11. 11.What is the mean of 11, 11, 16, 20, 6 and 14? (a) 15 (b) 14 (c) 13 (d) 12
  12. 12.The mean of 5 numbers is 29. When the number 41 is added to them, what is the new mean? (a) 31 (b) 29 (c) 32 (d) 35
  13. 13.The mean of 7 numbers is 37. When the number 45 is added to them, what is the new mean? (a) 41 (b) 37 (c) 39 (d) 38
  14. 14.The mean of 4 numbers is 34. When the number 39 is added to them, what is the new mean? (a) 36 (b) 35 (c) 37 (d) 34
  15. 15.What is the mode of 3, 9, 5, 6, 3, 3 and 5? (a) 6 (b) 9 (c) 5 (d) 3
  16. 16.What is the mean of 13, 12, 9, 4, 10 and 6? (a) 11 (b) 8 (c) 9 (d) 10
  17. 17.The mean of 6 numbers is 16. When the number 23 is added to them, what is the new mean? (a) 18 (b) 16 (c) 19 (d) 17
  18. 18.What is the mode of 7, 5, 7, 10, 19, 5 and 7? (a) 7 (b) 19 (c) 5 (d) 10
  19. 19.What is the median of 16, 4, 38, 17 and 20? (a) 17 (b) 38 (c) 20 (d) 19
  20. 20.What is the median of 3, 28, 27, 9, 4, 7 and 6? (a) 6 (b) 9 (c) 7 (d) 12
  21. 21.What is the mean of 10, 18, 16, 13, 12 and 9? (a) 15 (b) 14 (c) 12 (d) 13
  22. 22.What is the median of 39, 38, 27, 16 and 31? (a) 27 (b) 31 (c) 38 (d) 32
  23. 23.What is the median of 34, 2, 21, 5, 24, 25 and 10? (a) 24 (b) 10 (c) 21 (d) 5
  24. 24.What is the mode of 4, 4, 11, 4, 15, 11 and 14? (a) 11 (b) 14 (c) 15 (d) 4
  25. 25.What is the mode of 14, 12, 10, 6, 12, 10 and 10? (a) 12 (b) 10 (c) 14 (d) 6
  26. 26.What is the mode of 4, 10, 13, 17, 10, 13 and 10? (a) 13 (b) 17 (c) 10 (d) 4
  27. 27.What is the median of 29, 38, 12, 11, 21, 6 and 14? (a) 14 (b) 21 (c) 12 (d) 11
  28. 28.What is the median of 1, 32, 23, 15, 40, 19 and 2? (a) 20 (b) 23 (c) 19 (d) 15
  29. 29.What is the median of 1, 4, 17, 20, 16, 5 and 6? (a) 20 (b) 6 (c) 5 (d) 16
  30. 30.What is the mean of 16, 9, 20 and 7? (a) 14 (b) 13 (c) 15 (d) 12
  31. 31.The mean of 5 numbers is 21. When the number 27 is added to them, what is the new mean? (a) 23 (b) 21 (c) 24 (d) 22
  32. 32.What is the mode of 12, 7, 15, 15, 18, 7 and 15? (a) 12 (b) 7 (c) 18 (d) 15
  33. 33.The mean of 4 numbers is 28. When the number 18 is added to them, what is the new mean? (a) 28 (b) 23 (c) 26 (d) 27
  34. 34.What is the median of 15, 11, 37, 21 and 4? (a) 37 (b) 21 (c) 15 (d) 11
  35. 35.What is the mode of 10, 10, 15, 9, 11, 11 and 11? (a) 11 (b) 10 (c) 15 (d) 9
  36. 36.What is the median of 37, 36, 27, 24 and 33? (a) 36 (b) 27 (c) 34 (d) 33
  37. 37.What is the mean of 5, 13, 2 and 16? (a) 12 (b) 9 (c) 8 (d) 10
  38. 38.The mean of 8 numbers is 39. When the number 48 is added to them, what is the new mean? (a) 41 (b) 40 (c) 39 (d) 42
  39. 39.What is the mean of 17, 12, 13, 14 and 9? (a) 14 (b) 12 (c) 15 (d) 13
  40. 40.What is the mean of 13, 4, 9, 6, 19 and 9? (a) 10 (b) 9 (c) 11 (d) 12

Answer key

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

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