Question

the second moments of the set 2, 3, 7, 8, 10​

Answer 1

Step-by-step explanation:

In mathematics, the moments of a function are quantitative measures related to the shape of the function's graph. ... If the function represents mass, then the first moment is the center of the mass, and the second moment is the rotational inertia.

Answer 2

Solution:

let, the S^2 be sample variance or second moment of the set 2, 3, 7, 8, 10

x be the value of one observation

m be the mean value of all observation

n be the no. of observation

here, n= 5

now,

mean, m = (2+3+7+8+10)/5

           m= 30/5

           m = 6

we know, S^2 = ∑ ( x- m)^2/ n-1

S^2 = [(2-6)^2+(3-6)^2+(7-6)^2+(8-6)^2+(10-6)^2]/ 5-1

S^2 = [16+9+1+4+16]/4

S^2 = 46/4 = 11.4

therefore, second moments of the set 2, 3, 7, 8, 10​ is 11.4