What was the age distribution of prehistoric Native Americans? Extensive anthrop

Question

What was the age distribution of prehistoric Native Americans? Extensive anthropological studies in the southwestern United States gave the following information about a prehistoric extended family group of 83 members on what is now a Native American reservation. For this community, estimate the mean age expressed in years, the sample variance, and the sample standard deviation. For the class 31 and over, use 35.5 as the class midpoint. (Round your answers to one decimal place.)

Age range (years) 1-10 11-20 21-30 31 and over Number of individuals 32 24 19 8

Explanation / Answer

Consider:

Thus,  
  
Mean = Sum(xf) / Sum(f) =    15.86144578 = 15.9 [ANSWER]

Variance = [Sum(x^2f) - Sum(xf)^2/Sum(f)]/[Sum(f)-1] =    101.0872759 = 101.1 [ANSWER]

Standard deviation = sqrt(Variance) =    10.05421682 = 10.1 [ANSWER]

x f x f x^2 f 5.5 32 176 968 15.5 24 372 5766 25.5 19 484.5 12354.75 35.5 8 284 10082

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