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//===========================================================================
//chapter 3 example 23
clc;clear all;
//variable declaration
x1 = 41.7; //voltage in V
x2 = 42; //voltage in V
x3 = 41.8; //voltage in V
x4 = 42; //voltage in V
x5 = 42.1; //voltage in V
x6 = 41.9; //voltage in V
x7 = 42.5; //voltage in V
x8 = 42; //voltage in V
x9 = 41.9; //voltage in V
x10 = 41.8; //voltage in V
n =10;
//ccalculations
x =(x1+x2+x3+x4+x5+x6+x7+x8+x9+x10)/(10); //arthimetic mean
d1 =x-x1; //deviation
d2 =x-x2; //deviation
d3 =x-x3; //deviation
d4 =x-x4; //deviation
d5 =x-x5; //deviation
d6 =x-x6; //deviation
d7 =x-x7; //deviation
d8 =x-x8; //deviation
d9 =x-x9; //deviation
d10 =x-x10; //deviation
d = (d1**2)+(d2**2)+(d3**2)+(d4**2)+(d5**2)+(d6**2)+(d7**2)+(d8**2)+(d9**2)+(d10**2);
sigma = sqrt(d/(n-1)); //standard devation
r = 0.6745*sigma; //probable error of one reading
rm = r/(sqrt(n-1)); //probable error of mean in V
R = x7-x1; //range in V
//result
mprintf("arthimetic mean = %3.2f",x);
mprintf("\nstandard deviation = %3.3f",sigma);
mprintf("\nprobable error of one reading = %3.3f",r);
mprintf("\nprobable error of mean = %3.5f V',rm);
mprintf("\nRange = %3.2f V',R);
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