The age composition of the population of a country in a certain year is given in

Question

The age composition of the population of a country in a certain year is given in the following table. Replace the interval "85 and over" with the interval 85< x < 100 (line under both arrows) and find the sample standard deviation of the ages of all people. Round answer to one decimal place. data is: 19,172 0 < x < 5 , 20,555 5< x <10, 20,528 10< x <15, 39,187 15< x <25, 39,868 25<x<35, 44,127 35<x<45, 37,698 45< x 55 24,287 55< x <65, 30,771 65< x<85, 4,217    85 AND OLDER

Explanation / Answer

std. dev. = sqrt(144994675/280410) = 22.7

Lower Upper midpoint(x) frequeny(f) xf x-xbar (x-xbar)^2 (x-xbar)^2*f 0 5 2.5 19172 47930 -36.5 1332.25 25541897 5 10 7.5 20555 154162.5 -31.5 992.25 20395698.75 10 15 12.5 20528 256600 -26.5 702.25 14415788 15 25 20 39187 783740 -19 361 14146507 25 35 30 39868 1196040 -9 81 3229308 35 45 40 44127 1765080 1 1 44127 45 55 50 37698 1884900 11 121 4561458 55 65 60 24287 1457220 21 441 10710567 65 85 75 30771 2307825 36 1296 39879216 85 100 92.5 4217 390072.5 53.5 2862.25 12070108.25 39 280410 144994675

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