Based on the following calculator output, determine the population standard deviation of the dataset, rounding to the nearest 100th if necessary.
1-Var-Stats
Ž= 72.5714285714
Σα = 508
Σα2 = 38496
Sx = 16.4808691403
ox= 15.2583199118
n = 7
minX = 40
Qı = 63
Med = 77
Q3 = 87
maxX = 87

13875138answer:

step-by-step explanation:

use a calculator!

geometry: triangles

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call the larger triangle abc

then the smaller triangle cde is similar to abc (all angles are equal, aaa).  

ab is the side that is 36, and we wish to find de, the side corresponding to ab

area_cde = area_abc - area_cde --> area_abc / area_cde = 2

let x=length of de

ratio of areas = (ratio of sides)^2

+2+=+%2836%2fx%29%5e2+

+2+=+1296%2fx%5e2+

++x%5e2+=+1296%2f2+=+648+

25.45584