Which statement is best supported by the dot plot? choose one and explain your
answer.
i. the range of the number of miles amanda skated in august is less than the range
of the number of miles she skated in july.
ii. the distribution of data is approximately symmetrical in both sets of data.
iii. the mode of the number of miles amanda skated in july is equal to the mode of
the number of miles skated in august.

The first statement.

Step-by-step explanation:

Because when you look at the July graph you can see that the highest number of miles is 15 and the lowest number of miles is 1 so the range is 15 - 1 = 14.

When you look at the August graph you can see that the highest number of miles is 13 and the lowest number of miles is 5 so the range is 13 - 5 = 8

So the range of the July month is greater than the range of the August month

for the friend request.

when a figure, such as triangle (xyz) is reflected over the line y = x to create x'y'z' the x-coordinates and y-coordinates of the original image (pre-image) will be reversed for the image. (e.g., (x, y) > (y, x)) this means that the pre-image position of the x- and y-coordinates switch places which in turn provides a mirror like image of the original xyz.  

i notice that when i draw a line segment from x to x', that the points are parallel from each other -- they are exactly across from each other and do not intersect with any other points.  

yes, think i would see the same characteristic if you drew the line segment connecting y with the reflecting line and then y' with the reflecting line because of the essence of reflections. because it is a mirror image, each point was effected the same way which leads me to conclude that they same would apply to y and y'.