12.4. Measure of Dispersion
2076 Q. No. 15 Find the standard deviation of: 4, 6, 8, 10, 12.

Standard deviation of given data = 3.16227

Step-by-step explanation:

Step(i):-

Given sample size 'n' = 5

Given data  4, 6,8,10,12

Mean of the sample x⁻ = 8

Standard deviation of the sample

Step(ii):-

Given data

x          :         4      6       8       10      12

x-x⁻      :      4 - 8   6-8   8-8    10-8    12-8

(x-x⁻)   :        -4      -2     0          2        4

(x-x⁻)²  :        16     4       0         4        16  

 S.D = √10 = 3.16227

Final answer:-

The standard deviation = 3.16227

answer: evaluate the objective function at each vertex to determine which - and -values, if any, maximize or minimize the function. example: find the minimum value and maximum value of the objective function f ( x , y ) = 4 x + 5 y , subject to the following constraints

sorry man i accidentally pressed yes my bad

step-by-step explanation: