Of the range, the interquartile range, and the variance, the interquartile range is least influenced by an outlying value in the data set. truefalse

True

Step-by-step explanation:

The Interquartile Range (IQR) is a more robust measure of variability because it excludes outliers from the distribution. Due to this fact, the IQR works with only 50% of the central data excluding the outlying values in the data set from its calculation.

The variance is affected by outliers, and the Range is way more affected by only the first and the last observation.

So, yes the IQR is the least influenced. Therefore, a more robust measure of variability.

4x and 6y

im not sure though

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'.