Question

4. Find the standard deviation of 1, 2, 3, 3, 5, 10.

   1. (a) 2.66

   2. (b) 3.17

   3. (c) 3

   4. (d) 2.94

Answer 1

d.2.94

first let us know the mean of given numbers

=>(1+2+3+3+5+10) /6

=>4.

standard deviation = $\sqrt{}$[sum of ( observation - mean)^2] / number of observations

standard deviation = $\sqrt{}$[(1-4)^2 + (2-4)^2+(3-4)^2+(3-4)^2+(5-4)^2+(10-4)^2] / 6

=>$\sqrt{}$(9+4+1+1+1+36)/6

=>$\sqrt{}$52/6

=>2.94.