The table shows preferences of dancing or playing sports for male and female students.

do you prefer dancing or playing sports?

playing sports dancing row totals
male students 18 . 16. 34
female students 18. 35 53
column totals 36 51. 87

mason mistakenly calculated the conditional relative frequency for female students who prefer playing sports to be 21%. what statistic did mason actually calculate, and what should he have done differently?
he calculated the marginal relative frequency of female students for prefer playing sports. the conditional relative frequency for female students who prefer playing sports is 34%.

he calculated the joint relative frequency of female students who prefer playing sports. the conditional relative frequency for female students who prefer playing sports is 50%.

he calculated the marginal relative frequency of female students who prefer playing sports. the conditional relative frequency for female students who prefer playing sports is 50%.

he calculated the joint relative frequency of female students who prefer playing sports. the conditional relative frequency for female students who prefer playing sports is 34%.

Female students        Playing sports=18          Dancing=35         Total= 53

As, it is given that ,Conditional relative frequency for female students who prefer playing sports to be 21%.

It is Wrong value.

Joint Relative frequency for female students who prefer playing sports

Conditional relative frequency

Related marginal relative frequency

Conditional relative frequency  =34% (approx)

Option D:He calculated the joint relative frequency of female students who prefer playing sports. The conditional relative frequency for female students who prefer playing sports is 34%.

step-by-step explanation:

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'.