Answer: average = 4
standard deviation = 0.38
Step-by-step explanation:
Average (aka Mean) = (4 + 3.5 + 4.5 + 4.2 + 3.8)/5 = 20/5 = 4
[tex]\text{Standard Deviation = }\sqrt{\dfrac{1}{n-1}\sum(x-\overline{x})^2}\\\bullet n=5\\\bullet x=4\\\\\\SD=\sqrt{\dfrac{1}{5-1}[(4-4)^2+(4-3.5)^2+(4-4.2)^2+(4-3.8)^2]}\\\\\\.\quad =\sqrt{\dfrac{1}{4}[0+0.25+0.25+0.04+0.04]}\\\\\\.\quad =\sqrt{\dfrac{0.58}{4}}\\\\\\.\quad =0.38078[/tex]
