According to the data set, where should the
lower quartile line of the box plot be placed?
45 47 48 49 51 53 55 55 56
57 64
Water Collection Times in Minutes
А.
B)
D
E
40 41 42 43 4445 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65

B. 48

Step-by-step explanation:

The middle of the entire box plot is 53. The middle of the first half of the box plot is 48. So anything less than 56 is in the lower quartile and 48 is where it starts from.

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'.

i agree because i see the other persons thinking is clear