Question

Plz help me with this

Answer 1

Answer: average = 4

standard deviation = 0.38

Explanation:

Average (aka Mean) = (4 + 3.5 + 4.5 + 4.2 + 3.8)/5 = 20/5 = 4

`\text{Standard Deviation = }\sqrt{(1)/(n-1)\sum(x-\overline{x})^2}\\\bullet n=5\\\bullet x=4\\\\\\SD=\sqrt{(1)/(5-1)[(4-4)^2+(4-3.5)^2+(4-4.2)^2+(4-3.8)^2]}\\\\\\.\quad =\sqrt{(1)/(4)[0+0.25+0.25+0.04+0.04]}\\\\\\.\quad =\sqrt{(0.58)/(4)}\\\\\\.\quad =0.38078`