$The \ standard \ deviation = 
 \sqrt{ \frac{1}{n} \sum ( x_{i} - \mu )^2 } 
\\ where: \\
n \ is\ the \ number \ of \ elements \\
 x_{i} \ element \ number \ i \\
\mu \ is \ the \ mean \ of \ the \ elements 
$

The elements are :
 2,3,5,8,2.03,2.20,2.6,4.5
n = 8

μ = ( 2 + 3 + 5 + 8 + 2.03 + 2.20 + 2.6 + 4.5 )/8 = 3.66625

sum = ( 2 - 3.66625)² + ( 3 - 3.66625)² + ( 5 - 3.66625)² + ( 8 - 3.66625)² +
( 2.03 - 3.66625)² + ( 2.20 - 3.66625)² + ( 2.6 - 3.66625)² + ( 4.5 - 3.66625)²
 = 30.44

∴ The standard deviation = √ (30.44 / 8)
 ≈ 1.95 ( to the nearest hundredth )

7 0

4 years ago

A randomly selected sample of 100 students had an average grade point average (GPA) of 3.2 with a standard deviation of 0.2.

alexdok [17]

Answer:

A. 0.020

Step-by-step explanation:

we calculate the standard error of the sample mean with the formula,

$E=\frac{s}{\sqrt{n} }$ ,

with E= standard error of the sample mean

s= standard deviation

n= sample

So,

s= 0.2

n= 100

$E=\frac{0.2}{\sqrt{100} } =\frac{0.2}{10}=0.02$

5 0

4 years ago

Find missing factor. Write your answer in exponential form

joja [24]

Answer:

$8^{-5}$

Step-by-step explanation:

Anything raised to the power of 0 is 1. This means that we need to multiply 8^5 by something to make it into 8^0. When you multiply together two numbers with the same base, you can add the exponents together. For instance, in this case:

$8^{-5}\cdot 8^5= \\\\8^{-5+5}= \\\\8^0=1$

Hope this helps!

5 0

3 years ago