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.
The relationship between the circumference of a circle and its diameter represent a direct variation and the constant of proportionality is equal to the constant
Step-by-step explanation:
we know that
A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form
where K is the constant of proportionality
In this problem we know that
The circumference of a circle is equal to
therefore
the relationship between the circumference of a circle and its diameter is a direct variation and the constant of proportionality is equal to the constant
Note that a translation along the horizontal is affected by the dependent variable. Hence the correct graphical representation will be Graph C
<h3>Translation and transformation</h3>
Translation is the transformation technique of changing the position of an object on the xy-plane.
Give the parent function f(x) = x^2, if the parent function is translated to the right by 4 units (along the horizontal), the resulting function h(x) will be (x+4)^2
Note that a translation along the horizontal is affected by the dependent variable. Hence the correct graphical representation will be Graph C