Question

Find the standard deviation of the data set below. Round to the nearest tenth, 6, 5, 2, 5,8

Answer 1

Answer:

The standard deviation = 1.9

Step-by-step explanation:

standard deviation, ρ = sqrt ( $\frac{sum(x_{i} - u)^{2} }{N}$)

Where u is the mean of the data, $x_{i}$ each given value, and N is the number of data given.

Mean, u = $\frac{6+5+2+5+8}{5}$

              = 5.2

So that;

$(6-5.2)^{2}$  = $(0.8)^{2}$ = 0.64

$(5-5.2)^{2}$ = $(-0.2)^{2}$ = 0.04

$(2-5.2)^{2}$  = $(-3.2)^{2}$ = 10.24

$(5-5.2)^{2}$ = $(-0.2)^{2}$ = 0.04

$(8-5.2)^{2}$ = $(2.8)^{2}$ = 7.84

Sum = 18.8

So that;

$\sqrt{\frac{18.8}{5} }$  = $\sqrt{3.76}$

          = 1.9391

          = 1.9

The standard deviation of the given data is 1.9