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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 113 · 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 4 numbers is 39. When the number 29 is added to them, what is the new mean? (a) 39 (b) 37 (c) 38 (d) 34
  2. 2.The mean of 7 numbers is 26. When the number 58 is added to them, what is the new mean? (a) 26 (b) 31 (c) 42 (d) 30
  3. 3.The mean of 4 numbers is 39. When the number 34 is added to them, what is the new mean? (a) 37 (b) 39 (c) 40 (d) 38
  4. 4.The mean of 9 numbers is 13. When the number 23 is added to them, what is the new mean? (a) 18 (b) 13 (c) 15 (d) 14
  5. 5.What is the median of 31, 11, 19, 39 and 15? (a) 19 (b) 23 (c) 15 (d) 31
  6. 6.What is the median of 2, 9, 24, 23, 35, 22 and 12? (a) 23 (b) 12 (c) 21 (d) 22
  7. 7.What is the mode of 4, 3, 18, 3, 4, 4 and 12? (a) 12 (b) 4 (c) 18 (d) 3
  8. 8.The mean of 5 numbers is 31. When the number 25 is added to them, what is the new mean? (a) 30 (b) 31 (c) 28 (d) 29
  9. 9.What is the mode of 4, 15, 19, 19, 18, 18 and 19? (a) 15 (b) 19 (c) 4 (d) 18
  10. 10.What is the mean of 16, 8, 20 and 8? (a) 15 (b) 14 (c) 12 (d) 13
  11. 11.What is the mode of 7, 4, 15, 7, 4, 4 and 20? (a) 4 (b) 15 (c) 20 (d) 7
  12. 12.What is the median of 22, 16, 2, 29, 10, 7 and 40? (a) 16 (b) 29 (c) 22 (d) 18
  13. 13.The mean of 4 numbers is 23. When the number 33 is added to them, what is the new mean? (a) 23 (b) 26 (c) 28 (d) 25
  14. 14.What is the mean of 7, 7, 4 and 18? (a) 10 (b) 12 (c) 8 (d) 9
  15. 15.What is the mean of 6, 12, 14, 7, 9 and 18? (a) 13 (b) 10 (c) 11 (d) 12
  16. 16.What is the median of 38, 20, 32, 13 and 10? (a) 21 (b) 13 (c) 20 (d) 32
  17. 17.What is the mean of 16, 17, 2, 6 and 4? (a) 8 (b) 11 (c) 9 (d) 10
  18. 18.What is the mean of 2, 15, 2 and 5? (a) 6 (b) 7 (c) 8 (d) 5
  19. 19.What is the mode of 20, 16, 20, 5, 20, 3 and 5? (a) 5 (b) 20 (c) 3 (d) 16
  20. 20.What is the mean of 8, 3, 4, 13, 2 and 12? (a) 9 (b) 6 (c) 7 (d) 8
  21. 21.What is the mode of 9, 16, 12, 16, 14, 14 and 16? (a) 16 (b) 12 (c) 9 (d) 14
  22. 22.The mean of 3 numbers is 37. When the number 41 is added to them, what is the new mean? (a) 39 (b) 40 (c) 37 (d) 38
  23. 23.The mean of 3 numbers is 14. When the number 30 is added to them, what is the new mean? (a) 19 (b) 22 (c) 14 (d) 18
  24. 24.What is the mean of 16, 3, 20 and 17? (a) 16 (b) 13 (c) 15 (d) 14
  25. 25.What is the mode of 3, 14, 6, 14, 8, 8 and 8? (a) 6 (b) 3 (c) 8 (d) 14
  26. 26.What is the mode of 7, 16, 7, 1, 7, 4 and 4? (a) 16 (b) 1 (c) 7 (d) 4
  27. 27.What is the mean of 18, 10, 19, 14, 12 and 17? (a) 15 (b) 16 (c) 18 (d) 14
  28. 28.The mean of 8 numbers is 28. When the number 1 is added to them, what is the new mean? (a) 26 (b) 24 (c) 28 (d) 25
  29. 29.What is the median of 6, 16, 3, 24, 5, 21 and 13? (a) 13 (b) 6 (c) 24 (d) 16
  30. 30.The mean of 3 numbers is 33. When the number 37 is added to them, what is the new mean? (a) 33 (b) 36 (c) 35 (d) 34
  31. 31.The mean of 6 numbers is 17. When the number 45 is added to them, what is the new mean? (a) 22 (b) 21 (c) 31 (d) 17
  32. 32.What is the median of 13, 1, 27, 15 and 21? (a) 15 (b) 21 (c) 27 (d) 13
  33. 33.The mean of 5 numbers is 34. When the number 16 is added to them, what is the new mean? (a) 25 (b) 31 (c) 32 (d) 34
  34. 34.What is the median of 21, 34, 28, 17 and 26? (a) 21 (b) 26 (c) 27 (d) 28
  35. 35.The mean of 9 numbers is 14. When the number 44 is added to them, what is the new mean? (a) 17 (b) 29 (c) 14 (d) 18
  36. 36.The mean of 4 numbers is 33. When the number 48 is added to them, what is the new mean? (a) 36 (b) 33 (c) 37 (d) 35
  37. 37.What is the median of 32, 7, 1, 12 and 2? (a) 12 (b) 7 (c) 1 (d) 2
  38. 38.The mean of 5 numbers is 15. When the number 21 is added to them, what is the new mean? (a) 18 (b) 17 (c) 16 (d) 15
  39. 39.The mean of 7 numbers is 31. When the number 39 is added to them, what is the new mean? (a) 33 (b) 31 (c) 35 (d) 32
  40. 40.What is the median of 12, 7, 25, 8, 26, 28 and 14? (a) 12 (b) 14 (c) 25 (d) 8

Answer key

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

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