The data point 6 is inserted into the data set 3, 3, 4, 5, 7, 7, and 13.

what affect does inserting this additional data point have on the mean and median of the data set?

the and the

the
a.) decrease
b.) doesn't change
c.) increases

and the
a.)decrease
b.) doesn't change
c.) increases

the mean B. doesnt change

the median A. decreaces

Step-by-step explanation:

mean is the average

1. 3+3+4+5+5+7+7+13=42÷7=6

2. 3+3+4+5+5+7+7+13+6=48÷8=6

the mean doesn't change

the median is the middle

the middle of 3,3,4,5,5,7,7,13 is 5

the middle of 3,3,4,5,5,6,7,7,13 is 5

the median doesn't change

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'.