The answer choice which is the farthest from a normaldistribution is; Choice E; 2, 4, 5, 5, 6, 6, 7, 7, 7, 8, 8, 9, 9, 10.
<h3>Which data set is farthest from a normal distribution?</h3>
A normal distribution, is a data set which when graphed must follow a bell-shapedsymmetrical curve centered around the mean. Additionally, such distribution must adhere to the empiricalrule that indicates the percentage of the data set that falls within (plus or minus) 1, 2 and 3 standard deviations of the mean.
On this note, upon evaluation of the data sets, it follows that answer choice E represents the data set that's most farthest from a normal distribution.
So the difference between the two expressions is that they are grouped differently. In the first expression the 3•6 had to be multiplied first. In the other expression the 6•9 had to be multiplied first. But really both were 3•6•9 and it's all multiplication and can happen in any order. But the order 3, 6, 9 did not change. That is Associative property that says you can multiply by grouping factors differently and still get the same answer.