Which statement best compares the spread of the data sets?

Choice B is correct

Step-by-step explanation:

The Interquartile Range (IQR) for Florida, 11, is greater than the IQR for Australia, 4.

The spread of a data set is a measure of the dispersion or variability of the data set. The spread can be measured by various statistical quantities depending on the nature of the data (skewed or symmetric);

The IQR

Variance

Standard Deviation

Range

A box plot is a graphical representation of the five number summary;

The minimum, first quartile, median, third quartile, and the maximum value in that order.

The IQR is defined as;

third quartile - first quartile

With this definition, the Interquartile Range (IQR) for Florida is;

28 - 17 = 11

while the Interquartile Range (IQR) for Australia is;

14 - 10 = 4

Therefore, the Interquartile Range (IQR) for Florida, 11, is greater than the IQR for Australia, 4.

the range of a function is the range of y-values for which it is defined, or exists. given that we are only looking at the y-values, we can already discount the first two answers as they deal with the domain of the function (range of x-values).

now, what we need to do is find the smallest and highest y-values for which the function is defined. if you'd like, you could take a ruler and start at the very bottom of the graph, find the lowest point, then move the ruler higher and higher until you reach the highest point. doing so either in your head or with an actual ruler, we can see that the lowest y-value is -5 and the highest y-value is -1.

the question now remains as to whether they are included in the range (fourth answer) or excluded (third answer). the key here is to recognise whether they are marked with an open or a closed circle. since both (-2, -5) and (2, -1) are marked with a closed circle, they are points that exist on the graph and are thus included in the range (note that if they were marked with an open circle like (4, -2) then that would signify that there is a break in the graph at that point).

thus, the fourth answer, (y | -5 ≤ y ≤ -1), is correct.

also note that usually it is good practice to scan your eye inbetween the highest and lowest point for any breaks in the graph - we do have one here at (4, -2), however -2 is still included in the range because there is another point that is included in the graph with the same y-value, ie. point (1, -2).

i hope that but if you require any further explanation don't hesitate to comment below.

domain is all the x values included in the

0 ≤ x ≤ 2

range is all the y values of the graph

-2 ≤ y ≤ 2

***keep in mind that there are different ways to show domain and range

hope this !

~just a girl in love with shawn mendes