Wednesday, January 19, 2011

2: Estimating Skeletal Height Feb 13, 2012)

Stature: Estimating Height
Forensic Science can estimate a person's stature (height) by examining one or more of the long bones. The long bones you will consider here are the femur, tibia, humerus, and radius. Men and women have different proportions of long bones to total height, so seperate formulas have been developed for each. If complete long bones are available, the following fomulas may be used to estimate height within a range of +/- 7.5 centimeters:
Estimated height(H) of a female (centimeters):
  • H = femur length X 2.21 + 61.41
  • H = tibia length X 2.53 + 72.57
  • H = humerus length X 3.14 + 64.97
  • H = radius length X 3.87 + 73.50
Estimated height(H) of a male (centimeters):
  • H = femur length X 2.23 + 69.08
  • H = tibia length X 2.39 + 81.68
  • H = humerus length X 2.97 + 73.57
  • H = radius length X 3.65 + 80.40
Using the above calculations, calculate the following long bone lengths and heights. Show all of your work, measurements, and calculations. Remember that 2.5 cm = 1 inch. Be sure to include a range of +/- 7.5 centimeres.
  1. A male skeleton was found in the woods with a humerus of 34.9 cm long. Approximately how tall would that person have been?
  2. A body was found in the sewer system with a tibia 34.8 cm in length. What would the approximate height be if the body were a female? If it were male?
  3. Using your own height (in centimeres), what would you expect the length of your femur to be?
  4. Using a meter stick in class, measure the length from your wrist to your elbow (in centimeres) and calculate your height.
  5. Using a meter stick in class, measure the length from your ankle to your knee (in centimeres) and calculate your height. Is it with in the range of +/- 7.5 centimeres of your measurement in number 4.

23 comments:

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  4. 1- 5' 10"
    2- M: 5' 6"
    F: 5' 5"
    3- 49.7 cm
    4- 193.55 cm
    5- 184.45 cm

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  5. 1. 34.9 x 2.97 + 73.57
    177.223/ 2.5 = 70.89 inch
    = 5.9 feet
    range between 5'6 and 6'3


    2. 34.8 x 2.53 + 72.57
    160.6/ 2.5 = 64.25 inch
    = 6.0 feet
    range between 5'7 and 6'3

    3. 166 x 2.21 + 61.41
    428.27/ 2.5 = 171.3 inch
    = 14.3 feet

    4. 28 x 3.87 + 73.50
    181.86/ 2.5 = 72.744 inch
    = 6.1 feet
    range between 5'8 and 6'4

    5. 40 x 2.53 + 72.57
    173.77/ 2.5 = 69.508 inch
    = 5.8 feet
    range between 5'5 and 6'1

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  6. Athena & Travis

    1. 5ft 9in. range 5ft6in-6ft

    2. female 5ft 4in. range 5ft 1in-5ft 7in

    3. Athena: 47.78cm

    Travis: 50.64

    4. Athena: 5ft 8in. range 5ft 5in-5ft 11in

    Travis: 6ft 3in. range 6ft-6ft 6in

    5. Athena: 6ft. range 5ft 9in-6ft 3in

    Travis: 6ft 4in. range 6ft 1in-6ft 7in

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  8. 1)
    34.9*2.97+73.57=177.223
    177.223cm/2.5=70.89cm
    70.89cm/12in=5.9075ft
    RANGE=5ft6in to 6ft

    2)
    Male=34.8*2.39+39.81=164.852
    164.852cm/2.5=65.9408cm
    65.9408cm/12in=5.50ft
    RANGE=5ft2in to 5ft8in

    Female=34.9*2.53+72.57=160.856
    160.8567cm/2.5=64.34cm
    64.34cm/12in=5.37ft
    RANGE=5ft to 5ft6in

    3)
    177=F*2.23+69.08
    F=10.29cm/2.5=4.116cm
    4.116cm/12in=.343ft

    4)
    29*3.65+80.40=186.25

    5)
    49*2.39+81.68=198.79

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  9. 1. 34.9x2.97+73.57=177.223cm=70.89 in
    2. Female_ 34.8x2.53+72.57=160.614cm=64.25 in
    Male_ 34.8x2.39+81.68=164.852=65.94
    3. 181=Xx2.21+61.41/ X= 54.11 cm
    4. 30x3.87+73.50=189.6 cm/ range of 182.1-197.1 cm
    5. 48.5x2.53+72.57= 195.275 cm/ range of 202.78-187.78 cm

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  10. 1) 34.9 X 2.97 +73.57= 177.223 CM (Between 5'7, 5'11)

    2) 34.8 X 2.39 + 81.68= 164.852 CM (Male: Between 5'3, 5'6)
    34.9 X 2.53 + 72.57= 160.614 CM (Female: Between 5'1, 5'5)

    3) 181 X 2.23 + 69.08= 472.71 CM

    4) 31 X 3.65 + 80.40= 193.55 CM

    5) 50 X 2.39 + 81.68= 201.18 CM

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  11. 1) 34.9 X 2.97 +73.57 = 177.23 CM / 2.5 / 12
    HEIGHT = 5 FEET 11 INCHES +/- 3 INCHES
    RANGE OF HEIGHT= 5 FT 8 IN TO 6 FT 2 IN

    2) MALE:
    34.8 X 2.39 + 81.68 = 164.85 CM / 2.5 / 12

    HEIGHT = 5 FEET 6 INCHES +/- 3 INCHES
    RANGE OF HEIGHT = 5 FT 3 IN to 5 FT 9 IN

    FEMALE:
    34.8 X 2.53 + 72.57 = 160.61 CM / 2.5 / 12

    HEIGHT = 5 FEET 5 INCHES +/- 3
    RANGE OF HEIGHT = 5 FT 2 IN to 5 FT 8 IN

    3) 167 = F2.23 + 69.08
    FEMUR = 43.91 CM

    4) 27 X 3.65 + 80.40
    HEIGHT = 178.95 CM +/- 7.5
    RANGE OF HEIGHT = 171.35 to 186.35 CM

    5) 43 X 2.39 + 81.68
    HEIGHT = 184.45 CM +/- 7.5
    RANGE OF HEIGHT = 176.95 to 191.95 CM

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  12. Athena and Travis

    WORK

    1. 177.223/2.5=70.892/12=5ft9in

    2. female: 160.614/2.5=64.2456/12=5ft4in

    male: 164.852/2.5=65.8408/12=5ft 5in

    3. 167=x2.21+61.41=47.78cm

    182=x2.23+69.08=50.64cm

    4. 26x3.87+73.50=174.12/2.5

    30x3.65+80.40=189.9/2.5

    5. 46x2.39+81.68
    43x2.53+72.57

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  13. 1. 34.9x2.97+73.57=177.223cm =70.9in/12=5.9ft
    2. 5.4ft female 5.2ft male
    3. 173-69.08/2.23=46.6cm
    4. 28x3.65+80.40=175.1-190.1cm
    5. 42.5x2.39+81.68=173.5-190.8cm

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  14. 1. 34.9cm x 2.97 + 73.57 =177.223cm / 2.5= 70.8892 inches/ 12= 5.9 ft
    2. Female= 5.3538 ft
    Male= 5.4950 ft
    3. 50.94 cm
    4. 5. 394
    5. 5.362

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  15. 1.5'9=(34.9cm x 2.97)+ 73.57

    2.M=5'4=(34.8 X 2.39)+ 81.68
    F=5'5= (34.8X 2.53) + 72.57

    3.179 CM= 48.85 CM x 2.23 + 69.08

    4. 29 CM X 3.65+ 80.40= 186.25

    5. 45X 2.97 + 73.57 = 6'6- 7'1

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  17. 1.) 34.9 x 2.97 + 73.57 = 177.22 cm
    177.22 / 2.5 = 70.88
    70 / 12 = 5.83
    5 x 12 = 60
    70 - 60 = 10
    HEIGHT: 5"10"
    HEIGHT RANGE: between 5'7" and 6'1"

    2.) female:
    34.8 x 2.53 + 72.57 = 162.35 = 64 in
    HEIGHT: 5'4"
    HEIGHT RANGE: between 5'1" and 5'7"
    Male:
    34.8 x 2.39 +81.68 = 164.85
    164.85 / 2.5 = 65.94 in.
    HEIGHT: 5'5"
    HEIGHT RANGE: between 5'2" and 5'8"

    3.)176= n * 2.21 + 61.41
    114.59=2.21n
    n=51.85 cm.

    4.) 28 * 3.87 +73.50 = 181.86 = 72.74 in.
    HEIGHT: 6'0"
    HEIGHT RANGE:between 5'9" and 6'3"

    5.) 43 * 2.53 + 72.57 = 181.36 = 72.54 in.
    HEIGHT: 6'0"
    HEIGHT RANGE: between 5'9" and 6'3"

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  18. 1. 34.9 X 2.97 + 73.57 = 177.22
    177.22/2.5 = 70.88
    70.88/12 = 5.91
    .91 X 12 = .10
    FINAL ANSWER: 5.7-6.1 feet/inches

    2. M=34.8 X 2.39 +81.68 = 164.85
    164.85/2.5 = 65.94
    65.94/12 = 5.495
    .495 X12 = .6
    FINAL ANSWER: 5.3-5.9 feet/inches

    F= 34.8 X 2.53 + 72.57 = 160.61
    160.61/2.5 = 64.24
    64.24/12 = 5.353
    .353 X 12 = .4
    FINAL ANSWER: 5.1-5.7 feet/inches

    3. Personal Height: 167 centimeters
    167= x X 2.21+61.41 (subtract 61.41 from both sides)
    105.59 = x X 2.21 (divide 2.21 from both sides)
    FINAL ANSWER: 47.78 centimeters

    4. 25 X 3.87 + 73.50 = 170.25
    170.25 /2.5 = 68.10
    68.10/12 = 5.68
    .68 X 12 = 8.16
    FINAL ANSWER: 5.5-6.1 feet/inches

    5. 42 X 2.53 + 72.57 = 178.83
    178.83 /2.5 = 71. 53
    71.52 /12 = 5.96
    .96 X 12 = 11. 52
    FINAL ANSWER: 5.8-6.2 feet/inches

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  19. 1. (32.9)(2.97) + 73.57 = 177.22cm = 5’9’’ Range: between 5’6” and 5’12’’
    2. Male: (34.8)(2.39) + 81.65 = 164.85cm = 5’4’’ Range: between 5’1’’ and 5’7’’
    Female: (34.8)(2.53) + 72.57 = 160.614cm = 5’3’’ Range: between 5’0’’ and 5’6’’
    3. 175.26 = x(2.21) + 6.41, x=76.40cm
    4. H = (28)(3.87) + 73.50 = 181cm = 6’0’’ Range: between 5’9’’ and 6’3’’
    5. H = (42)(2.53) + 72.57 = 178cm = 5’9’’ Range: between 5’6’’ and 6’0’’

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  20. 1. 176.93cm 5'8ft
    2. Male- 164.85cm 5'4ft Female- 160.61cm 5'3ft
    3. 174cm femur-36cm
    4. 27cm 161cm 5'1ft
    5. 33cm 175cm 5'8

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  21. 1)
    34.9 x 2.97+73.57=177.223cm/2.5/12
    =5’9” : range 5’6”-6’0”

    2)
    Male=34.8 x 2.39+39.81=164.852cm/2.5/12
    = 5’5” range 5’2”-5’8”
    Female=34.9 x 2.53+72.57=160.8567cm/2.5/12
    =5’3” range 5’0”-5’6”

    3)175cm

    4. 32cm x 3.65 + 80.40= 197.2cm

    5. 51 x 2.39 + 81.68= 189.89cm

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  22. 1. H = 43.9 x 2.97 + 73.57
    H = 177.223/2.5
    H = 70.8892/12
    5'7"(RANGE), 5'9"(HEIGHT), 6'2"(RANGE)

    2a. Male = 34.8 x 2.39 + 81.68
    Male = 164.852/2.5
    Male = 65.9408/12
    Male = 5'4" Range of 5'1"-5'7"
    2b. Female = 34.8 x 2.53 + 72.57
    Female = 160.614/2.5
    Female = 67.2456/12
    Female = 5'3" Range of 5'0"-5'6"

    3. 177 = Femur x 2.3 + 69.08
    71.38/177 = Femur x 71.38/71.38
    2.4cm = Femur

    4. H = 25 x3.65 + 80.40
    H = 171.65/2.5
    H = 68.66/12
    Height = 5'7" Range of 5'4"-6'0"

    5. H = 40 x 2.39 + 81.68
    H = 177.28/12
    H = 70.912/12
    Height = 5'9" Range is 5'7"-6'2"

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  23. 1. 34.9 x 2.97 + 73.57
    177.223/ 2.5 = 70.89 inch
    = 5.9 feet
    5'6 and 6'3


    2. 34.8 x 2.53 + 72.57
    160.6/ 2.5 = 64.25 inch
    = 6.0 feet
    range between 5'7 and 6'3

    3. 166 x 2.21 + 61.41
    428.27/ 2.5 = 171.3 inch
    = 14.3 feet

    4. 28 x 3.87 + 73.50
    181.86/ 2.5 = 72.744 inch
    = 6.1 feet
    5'8 and 6'4

    5. 40 x 2.53 + 72.57
    173.77/ 2.5 = 69.508 inch
    = 5.8 feet
    5'5 and 6'

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