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By Samantha Turi
Dog Types            Height in Inches   Deviation   Squared
Labrador Retriever   24                 7.357       54.127
Chihuahua            9                  7.642       58.413
German Shephard      25                 8.357       69.841
Golden Retriever     24                 7.357       54.127
Shih Tzu             11                 5.642       31.841
Dachshund            8                  8.642       74.698
Pug                  14                 2.642       6.984
American Pit Bull    20                 3.357       11.270
Terrier
Yorkshire Terrier    9                  7.642       58.413
Beagle               16                 0.642       0.413
Boxer                25                 8.357       69.841
Jack Russell         15                 1.642       2.698
Pomeranian           12                 4.642       21.556
Border Collie        21                 4.357       18.984
◦ Find the average of the
  heights.
24+9+25+24+11+8+14+
20+9+16+25+15+12+21
=233/14
 24   - 16.642 = 7.357
   9   - 16.642 = 7.642
   25   - 16.642 = 8.357
   24   - 16.642 = 7.357
 11   – 16.642 = 5.642…etc
 7.357   x 7.357 = 54.127
   7.642 x 7.642 = 58.413

   8.357 x 8.357 = 69.841

   7.357 x 7.357 = 54.127

 5.642 x 5.642 = 31.841…

              etc
 54.127   + 58.413 + 69.841
   + 54.127 + 31.841 +
  74.698 + 6.984 + 11.270
    + 58.413 + 0.413 +
 69.841 + 2.698 + 21.556
   + 18.984 = 533.2143
 533.2143   / 14 = 38.086
Then you find the square root of
    that number to find the
     Standard Deviation
√38.086 = 6.171

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Binomial

  • 2. Dog Types Height in Inches Deviation Squared Labrador Retriever 24 7.357 54.127 Chihuahua 9 7.642 58.413 German Shephard 25 8.357 69.841 Golden Retriever 24 7.357 54.127 Shih Tzu 11 5.642 31.841 Dachshund 8 8.642 74.698 Pug 14 2.642 6.984 American Pit Bull 20 3.357 11.270 Terrier Yorkshire Terrier 9 7.642 58.413 Beagle 16 0.642 0.413 Boxer 25 8.357 69.841 Jack Russell 15 1.642 2.698 Pomeranian 12 4.642 21.556 Border Collie 21 4.357 18.984
  • 3. ◦ Find the average of the heights. 24+9+25+24+11+8+14+ 20+9+16+25+15+12+21 =233/14
  • 4.  24 - 16.642 = 7.357 9 - 16.642 = 7.642  25 - 16.642 = 8.357  24 - 16.642 = 7.357  11 – 16.642 = 5.642…etc
  • 5.  7.357 x 7.357 = 54.127  7.642 x 7.642 = 58.413  8.357 x 8.357 = 69.841  7.357 x 7.357 = 54.127  5.642 x 5.642 = 31.841… etc
  • 6.  54.127 + 58.413 + 69.841 + 54.127 + 31.841 + 74.698 + 6.984 + 11.270 + 58.413 + 0.413 + 69.841 + 2.698 + 21.556 + 18.984 = 533.2143
  • 7.  533.2143 / 14 = 38.086 Then you find the square root of that number to find the Standard Deviation √38.086 = 6.171