Analytical science: Secrets of the Mary Rose
Analytical science: Secrets of the Mary Rose

Start this free course now. Just create an account and sign in. Enrol and complete the course for a free statement of participation or digital badge if available.

Free course

Analytical science: Secrets of the Mary Rose

4.2 Determining height and weight

Determining the height and weight of an individual requires access to the skeleton or skeletal fragments. Although bones can easily be measured, it is important to remember that bodies shrink slightly after death, so the original height of a living individual will be slightly greater than that measured directly from a corpse.

An accurate method of determining the height is to measure the length of specific long bones (i.e. the three long leg bones - femur, tibia and fibula - and the three long arm bones - humerus, radius and ulna; see Figure 6 in Section 4.1). This method assumes that different parts of the adult body are in proportion with each other, and that the relative proportions between height and leg or arm length vary according to the gender and the ethnicity of the individual. By averaging measurements from many individuals in a specific ethnic group (and separating them into male and female), the average relationship between height and limb length can be established. This is then used to calculate the full body height of any other individual from that group, by applying a method called regression analysis.

Regression analysis involves measuring changes in one item (called a variable) to predict how a related variable will change. For example, changes in the length of a long bone can be used to determine an individual's full height. The relationship between long bones and full height is determined by taking measurements of different long bones in modern adult corpses and comparing them directly with the individual's measured height. A mathematical equation can then be applied to link the changes in bone length to overall height. The multiplying factors used in the equation differ according to:

  • the type of long bone used
  • the broad ethnic origin
  • the gender of the individual being investigated (Table 1).

When the ethnicity or gender of an individual is unknown, an equation can be used to allow an approximate height to be calculated.

Table 1 Equations for calculating full adult height in cm for males and females from different ethnic groups, using long bone measurements.

Bone typeEthnicityMale equationFemale equation
femurCaucasian(length × 2.32) cm + 65.53 cm(length × 2.47) cm + 54.13 cm
African(length × 2.10) cm + 72.22 cm(length × 2.28) cm + 59.76 cm
Asian(length × 2.15) cm + 72.57 cmnot available
tibiaCaucasian(length × 2.42) cm + 81.93 cm(length × 2.90) cm + 61.53 cm
African(length × 2.19) cm + 85.36 cm(length × 2.45) cm + 72.56 cm
Asian(length × 2.35) cm + 81.45 cmnot available
fibulaCaucasian(length × 2.60) cm + 75.50 cm(length × 2.93) cm + 59.61 cm
African(length × 2.34) cm + 80.07 cm(length × 2.49) cm + 70.90 cm
Asian(length × 2.40) cm + 80.56 cmnot available
(Source: Rice University.)
  • Calculate the true height (to the nearest cm) of a Caucasian male whose tibia measures 39.0 cm.

  • The true height is 176 cm:

    (39.0 × 2.42) cm + 81.93 cm = 176.31 cm = 176 cm (to the nearest cm).

Take your learning further

Making the decision to study can be a big step, which is why you'll want a trusted University. The Open University has 50 years’ experience delivering flexible learning and 170,000 students are studying with us right now. Take a look at all Open University courses.

If you are new to University-level study, we offer two introductory routes to our qualifications. You could either choose to start with an Access module, or a module which allows you to count your previous learning towards an Open University qualification. Read our guide on Where to take your learning next for more information.

Not ready for formal University study? Then browse over 1000 free courses on OpenLearn and sign up to our newsletter to hear about new free courses as they are released.

Every year, thousands of students decide to study with The Open University. With over 120 qualifications, we’ve got the right course for you.

Request an Open University prospectus371