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What was the age distribution of prehistoric Native Americans? Extensive anthropological studies in the southwestern United...

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 85 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 39 16 16 14
x =
s2 =
s =

Can someone please explain this problem in as much detail as possible? It would help me better understand. Thanks.

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Answer #1

ANSWER

The Table given by

Age range Class boundries Mid points[xi] No. of individuals[fi] fixi fixi^2
1-10 0.5 - 10.5 5.5 39 214.5 1,179.75
11-20 10.5-20.5 15.5 16 248 3844
21-30 20.5-30.5 25.5 16 408 10,404
31 and over 30.5 and over 35.5 14 497 17,643.5
Total 85 1,367.5 33,071.25

From table ,

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