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.
We know that function <em>h</em> represents an object's height in feet after <em>x</em> seconds.
In that case, option A) h(15) = 100 means that after 15 seconds, the object's height is 100 feet.
Option B) h(100) = 15 means that after 100 seconds, the object's height is 15 meters.
Therefore, neither A nor B are correct.
Option C) h(15) - h(0) = 100 means that between the zeroth and 15th second, their difference is 100 feet.
In other words, the object's height increased by 100 feet over the first 15-second period.
Option C is correct.
For Option D), it gives us the average rate of change. (h(15) - h(0)) / (15) = 100 means that for the first fifteen seconds, the height of the object increased at an average rate of 100 feet per second.
