- - - - - - - - - - - - - - - - - - - - - - - - - - E N D - - - - - - - - - - - - - - - - - - - - - - - - - -

#### Presentation Transcript

**1. **Stem and leaf diagrams

**2. **Introduction Stem and leaf diagrams are used to:
retain raw data values (possibly rounded)
provide a diagrammatic representation of the distribution - like bar chart
find median, quartiles etc

**3. **Stages in drawing a stem and leaf Decide on and provide a key for the stem and leaf. The leaf is always the smallest (least significant) digit - you may need to round in some circumstances
Draw a preliminary stem and leaf directly from the raw data - this is likely to mean the leafs are unordered
Draw a new stem and leaf diagram with the leaves put into numerical order.
If needed add the number of leaves

**4. **Example - drawing a stem and leaf

**5. **Example - drawing a stem and leaf

**6. **Example - drawing a stem and leaf

**7. **Example - drawing a stem and leaf

**8. **Example - drawing a stem and leaf

**9. **Example - drawing a stem and leaf

**10. **Example - drawing a stem and leaf

**11. **Example - drawing a stem and leaf

**12. **Example - drawing a stem and leaf

**13. **Example - drawing a stem and leaf

**14. **Example - drawing a stem and leaf

**15. **Example - drawing a stem and leaf

**16. **Example - drawing a stem and leaf

**17. **Example - drawing a stem and leaf

**18. **Example - drawing a stem and leaf

**19. **Example - drawing a stem and leaf

**20. **Example - drawing a stem and leaf

**21. **Example - drawing a stem and leaf

**22. **Example - drawing a stem and leaf

**23. **Example - drawing a stem and leaf

**24. **Example - drawing a stem and leaf

**25. **Example - drawing a stem and leaf

**26. **Example - drawing a stem and leaf

**27. **Example - drawing a stem and leaf

**28. **Example - drawing a stem and leaf

**29. **Example - drawing a stem and leaf

**30. **Example - drawing a stem and leaf

**31. **Example - drawing a stem and leaf

**32. **Example - drawing a stem and leaf

**33. **Example - drawing a stem and leaf

**34. **Example - drawing a stem and leaf

**35. **Example - drawing a stem and leaf

**36. **Example - drawing a stem and leaf

**37. **Example - drawing a stem and leaf

**38. **Example - drawing a stem and leaf

**39. **Example - drawing a stem and leaf

**40. **Example - drawing a stem and leaf

**41. **Example - drawing a stem and leaf

**42. **Example - drawing a stem and leaf

**43. **Example - drawing a stem and leaf

**44. **Example - drawing a stem and leaf

**45. **Example - drawing a stem and leaf

**46. **Example - drawing a stem and leaf

**47. **Example - drawing a stem and leaf

**48. **Example - drawing a stem and leaf

**49. **Example - drawing a stem and leaf

**50. **Example - drawing a stem and leaf

**51. **Example - drawing a stem and leaf

**52. **Example - drawing a stem and leaf

**53. **Example - drawing a stem and leaf

**54. **Example - drawing a stem and leaf

**55. **Example - drawing a stem and leaf

**56. **Example - drawing a stem and leaf

**57. **Example - drawing a stem and leaf

**58. **Example - drawing a stem and leaf

**59. **Example - drawing a stem and leaf

**60. **Example - drawing a stem and leaf

**61. **Example - drawing a stem and leaf

**62. **Example - drawing a stem and leaf

**63. **Example - drawing a stem and leaf

**64. **Example - drawing a stem and leaf

**65. **Example - drawing a stem and leaf

**66. **Example - drawing a stem and leaf

**67. **Example - drawing a stem and leaf

**68. **Example - drawing a stem and leaf

**69. **Example - drawing a stem and leaf

**70. **Example - drawing a stem and leaf

**71. **Example - drawing a stem and leaf

**72. **Example - drawing a stem and leaf

**73. **Note: you are more likely to be required to interpret a stem and leaf diagram than to have to draw one
the textbook examples use a stem consisting of one digit. More digits are possible.
The range of values should not be too great - otherwise the values may need to be rounded so that the number of stems does not become too large
Stem and leaf diagrams can be drawn back to back for comparisons – much like bar charts.