Answer:
<h3>x¯= 23.8
</h3><h3>μ= 8.2
</h3>
Step-by-step explanation:
<h3>Find the mean.
</h3>
The mean of a set of numbers is the sum divided by the number of terms.
x¯= <u>25+10+16+39+27+25+32+25+25+22+28+14</u>
11
<h3>Simplify the numerator.
</h3>
x¯ = <u>261.27</u>
11
<h3>Divide 261.27 by 11
</h3>
x¯= 23.75 18
<h3>Divide.
</h3>
x¯= 23.75 18
The mean should be rounded to one more decimal place than the original data. If the original data were mixed, round to one decimal place more than the least precise.
x¯=23.8
<h3>Simplify each value in the list.
</h3>
25,10,16,39.27,25,32,25,25,22,28,14
Set up the formula for sample standard deviation. The standard deviation of a set of values is a measure of the spread of its values.
s= n^∑ i=1 √(<u>xi−xavg</u>)²
N-1
Set up the formula for standard deviation for this set of numbers.
s= ⎷(25−23.8)²+(10−23.8)²+(16−23.8)²+(39.27−23.8)²+(25−23.8)²+<u>(32−23.8)²+(25−23.8)²+(25−23.8)²+(22−23.8)²+(28−23.8)²+(14−23.8)</u>²
11−1
<h3>Simplify the result.
</h3>
s= √68.05209
The standard deviation should be rounded to one more decimal place than the original data. If the original data were mixed, round to one decimal place more than the least precise.
8.2
