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Basic Descriptive
    Statistics
       Mr. Siko
    Clarkston HS
Why?
 Descriptive statistics do just that:
  Describe Data!
 What we’ll cover in this slidecast
    – Mean (average)
    – Median
    – Mode
    – Range
Mean
 Fancy Formula        What this means: add
µ = ΣX/N                up all your data, then
                        divide by the number
                        of data points
Mean
Sample data:     How to calculate:
98cm
76cm             98+76+82+54+90 =
82cm               400cm
54cm
90cm             400cm/5 = 80cm
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
Median
Sample data:      Rearranged Data:
98cm              54cm
76cm              76cm
82cm              82cm
54cm              90cm
90cm              98cm
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.
Median
Sample Data:      Rearranged Data:
4ml               2ml
8ml               4ml
12ml              8ml
2ml               12ml

                   4 + 8 = 12ml
                   12/2 = 6ml
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.
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
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.
Range
Sample data:     Rearranged Data:
98cm             54cm
76cm             76cm
82cm             82cm
54cm             90cm
90cm             98cm


                 98cm – 54cm = 44cm
Recap
   Mean, Median, Mode, and Range
    “describe” the data.
Acknowledgements
American Chemical Society. (2006).
 Chemistry in the community: ChemCom
 (5th ed). New York: W.H. Freeman
Basic Descriptive Statistics
Basic Descriptive Statistics
Basic Descriptive Statistics
Basic Descriptive Statistics
Basic Descriptive Statistics
Basic Descriptive Statistics
Basic Descriptive Statistics
Basic Descriptive Statistics
Basic Descriptive Statistics
Basic Descriptive Statistics

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Basic Descriptive Statistics

  • 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  What this means: add µ = ΣX/N up all your data, then divide by the number of data points
  • 4. Mean Sample data: How to calculate: 98cm 76cm 98+76+82+54+90 = 82cm 400cm 54cm 90cm 400cm/5 = 80cm
  • 5. 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
  • 6. Median Sample data: Rearranged Data: 98cm 54cm 76cm 76cm 82cm 82cm 54cm 90cm 90cm 98cm
  • 7. 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.
  • 8. Median Sample Data: Rearranged Data: 4ml 2ml 8ml 4ml 12ml 8ml 2ml 12ml 4 + 8 = 12ml 12/2 = 6ml
  • 9. 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.
  • 10. 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
  • 11. 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.
  • 12. Range Sample data: Rearranged Data: 98cm 54cm 76cm 76cm 82cm 82cm 54cm 90cm 90cm 98cm 98cm – 54cm = 44cm
  • 13. Recap  Mean, Median, Mode, and Range “describe” the data.
  • 14. Acknowledgements American Chemical Society. (2006). Chemistry in the community: ChemCom (5th ed). New York: W.H. Freeman