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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 188 · 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 median of 16, 25, 18, 30 and 14? (a) 16 (b) 18 (c) 19 (d) 25
  2. 2.What is the mean of 12, 2, 11 and 11? (a) 8 (b) 12 (c) 9 (d) 10
  3. 3.What is the mode of 7, 14, 16, 8, 8, 8 and 14? (a) 14 (b) 7 (c) 16 (d) 8
  4. 4.What is the median of 21, 1, 34, 16, 30, 38 and 3? (a) 30 (b) 16 (c) 22 (d) 21
  5. 5.What is the mode of 16, 1, 16, 3, 12, 3 and 3? (a) 16 (b) 1 (c) 12 (d) 3
  6. 6.What is the median of 5, 30, 9, 10, 13, 26 and 39? (a) 13 (b) 26 (c) 14 (d) 10
  7. 7.The mean of 4 numbers is 17. When the number 22 is added to them, what is the new mean? (a) 17 (b) 20 (c) 19 (d) 18
  8. 8.What is the mode of 2, 14, 9, 9, 6, 6 and 6? (a) 2 (b) 14 (c) 6 (d) 9
  9. 9.What is the median of 15, 3, 17, 5, 16, 25 and 7? (a) 16 (b) 15 (c) 7 (d) 5
  10. 10.The mean of 3 numbers is 14. When the number 10 is added to them, what is the new mean? (a) 15 (b) 12 (c) 14 (d) 13
  11. 11.What is the mode of 1, 1, 16, 19, 19, 5 and 1? (a) 5 (b) 19 (c) 16 (d) 1
  12. 12.What is the median of 26, 35, 39, 37, 27, 21 and 17? (a) 35 (b) 27 (c) 26 (d) 37
  13. 13.What is the mode of 18, 18, 9, 16, 16, 20 and 16? (a) 18 (b) 16 (c) 9 (d) 20
  14. 14.What is the median of 2, 30, 9, 5, 16, 23 and 37? (a) 16 (b) 5 (c) 9 (d) 23
  15. 15.The mean of 3 numbers is 33. When the number 37 is added to them, what is the new mean? (a) 35 (b) 36 (c) 33 (d) 34
  16. 16.What is the mode of 10, 9, 1, 10, 1, 4 and 1? (a) 9 (b) 4 (c) 10 (d) 1
  17. 17.What is the mode of 12, 5, 2, 2, 5, 5 and 11? (a) 11 (b) 12 (c) 2 (d) 5
  18. 18.What is the mean of 13, 12, 4 and 15? (a) 11 (b) 12 (c) 10 (d) 13
  19. 19.What is the mean of 16, 3, 6 and 11? (a) 10 (b) 8 (c) 12 (d) 9
  20. 20.What is the median of 15, 37, 2, 29, 6, 3 and 40? (a) 15 (b) 6 (c) 16 (d) 29
  21. 21.The mean of 4 numbers is 26. When the number 36 is added to them, what is the new mean? (a) 26 (b) 28 (c) 29 (d) 31
  22. 22.The mean of 7 numbers is 10. When the number 18 is added to them, what is the new mean? (a) 11 (b) 10 (c) 12 (d) 14
  23. 23.What is the median of 40, 2, 34, 19 and 39? (a) 39 (b) 19 (c) 35 (d) 34
  24. 24.What is the median of 7, 3, 28, 34, 36, 31 and 16? (a) 28 (b) 31 (c) 34 (d) 16
  25. 25.What is the mean of 7, 10, 4, 6 and 13? (a) 8 (b) 9 (c) 10 (d) 7
  26. 26.What is the mode of 3, 6, 2, 2, 4, 3 and 3? (a) 2 (b) 6 (c) 3 (d) 4
  27. 27.The mean of 6 numbers is 17. When the number 3 is added to them, what is the new mean? (a) 16 (b) 17 (c) 10 (d) 15
  28. 28.The mean of 4 numbers is 34. When the number 39 is added to them, what is the new mean? (a) 34 (b) 35 (c) 37 (d) 36
  29. 29.What is the median of 34, 4, 38, 1 and 3? (a) 16 (b) 4 (c) 38 (d) 34
  30. 30.What is the mode of 4, 18, 1, 11, 1, 18 and 1? (a) 18 (b) 1 (c) 11 (d) 4
  31. 31.The mean of 7 numbers is 23. When the number 47 is added to them, what is the new mean? (a) 23 (b) 35 (c) 27 (d) 26
  32. 32.What is the median of 5, 32, 12, 9, 3, 19 and 26? (a) 12 (b) 13 (c) 19 (d) 9
  33. 33.The mean of 4 numbers is 38. When the number 48 is added to them, what is the new mean? (a) 40 (b) 41 (c) 38 (d) 43
  34. 34.The mean of 4 numbers is 11. When the number 6 is added to them, what is the new mean? (a) 12 (b) 9 (c) 11 (d) 10
  35. 35.The mean of 5 numbers is 28. When the number 4 is added to them, what is the new mean? (a) 16 (b) 28 (c) 25 (d) 24
  36. 36.What is the mean of 7, 18, 2, 5, 5 and 17? (a) 11 (b) 8 (c) 10 (d) 9
  37. 37.What is the median of 29, 37, 28, 26 and 3? (a) 26 (b) 27 (c) 28 (d) 29
  38. 38.What is the mean of 19, 3, 12, 7 and 19? (a) 10 (b) 15 (c) 13 (d) 12
  39. 39.The mean of 7 numbers is 40. When the number 32 is added to them, what is the new mean? (a) 40 (b) 36 (c) 38 (d) 39
  40. 40.What is the median of 38, 6, 1, 5, 12, 26 and 2? (a) 12 (b) 6 (c) 7 (d) 5

Answer key

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

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