Basic Descriptive Statistics
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Basic Descriptive Statistics

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This is a presentation for my Env. Chem students regarding the basic statistics they will be using in class throughout the year.

This is a presentation for my Env. Chem students regarding the basic statistics they will be using in class throughout the year.

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  • 1. Basic Descriptive Statistics Mr. Siko Clarkston HS
  • 2. Why?  Descriptive statistics do just that: Describe Data!  What we’ll cover in this slidecast – Mean (average) – Median – Mode – Range
  • 3. Mean Fancy Formula µ = ΣX/N
  • 4. Mean Fancy Formula  What this means: add µ = ΣX/N up all your data, then divide by the number of data points
  • 5. Mean Sample data: 98cm 76cm 82cm 54cm 90cm
  • 6. Mean Sample data: How to calculate: 98cm 76cm 98+76+82+54+90 = 82cm 400cm 54cm 90cm
  • 7. Mean Sample data: How to calculate: 98cm 76cm 98+76+82+54+90 = 82cm 400cm 54cm 90cm 400cm/5 = 80cm
  • 8. Mean Sample data: How to calculate: 98cm 76cm 98+76+82+54+90 = 82cm 400cm 54cm 90cm 400cm/5 = 80cm
  • 9. Median  The median is the middle data point in a set  To determine the median, sort the data from smallest to largest and find the middle data point
  • 10. Median Sample data: 98cm 76cm 82cm 54cm 90cm
  • 11. Median Sample data: Rearranged Data: 98cm 54cm 76cm 76cm 82cm 82cm 54cm 90cm 90cm 98cm
  • 12. Median Sample data: Rearranged Data: 98cm 54cm 76cm 76cm 82cm 82cm 54cm 90cm 90cm 98cm
  • 13. Median  If there is an even number of data, there will be two middle points.  To find the median, take the average of those two data.
  • 14. Median Sample Data: 4ml 8ml 12ml 2ml
  • 15. Median Sample Data: Rearranged Data: 4ml 2ml 8ml 4ml 12ml 8ml 2ml 12ml
  • 16. Median Sample Data: Rearranged Data: 4ml 2ml 8ml 4ml 12ml 8ml 2ml 12ml 4 + 8 = 12ml 12/2 = 6ml
  • 17. Mode  The mode is the most frequently occurring data point.  To find the mode, arrange the data from smallest to largest, and then determine which amount occurs most often.
  • 18. Mode Sample Data: 20g 23g 30g 30g 22g 27g 25g 20g 23g 24g 23g 25g 20g 23g
  • 19. Mode Sample Data: Rearranged Data: 20g 23g 20g 20g 20g 30g 30g 22g 22g 27g 23g 23g 23g 23g 25g 20g 24g 23g 24g 25g 25g 23g 25g 27g 20g 23g 30g 30g
  • 20. Range  The range is the distance between the smallest and largest data point.  To calculate, determine the smallest data point and the largest data point, then subtract the smallest from the largest.
  • 21. Range Sample data: Rearranged Data: 98cm 54cm 76cm 76cm 82cm 82cm 54cm 90cm 90cm 98cm
  • 22. Range Sample data: Rearranged Data: 98cm 54cm 76cm 76cm 82cm 82cm 54cm 90cm 90cm 98cm 98cm – 54cm = 44cm
  • 23. Recap  Mean, Median, Mode, and Range “describe” the data.
  • 24. Acknowledgements American Chemical Society. (2006). Chemistry in the community: ChemCom (5th ed). New York: W.H. Freeman