Sir Ronald Aylmer Fisher was an English statistician, evolutionary biologist, and geneticist who worked on a data set that contained sepal length and width (in millimeters), and petal length and width (in millimeters) from three species of iris flowers (setosa, versicolor and virginica). There were 57 flowers from each species in the data set. . The first six rows of the data set are shown below: Sepal Length Sepal Width Petal Length Petal Width Species
5.3 3.7 1.5 0.2 Setosa
6.4 2.9 4.3 1.3 Versicolor
4.9 3 1.4 0.2 Setosa
5.8 2.7 5.1 1.9 Virginica
7.2 3.6 6.1 2.5 Virginica
6.7 3.3 5.7 2.1 Virginica

1. How many cases were included in the data?
2. How many numerical variables are included in the data?
3. The numerical variables are:

a. all continuous
b. a mixture of continuous and discrete
c. all discrete

171

4 numerical variables (Sepal Length ; Sepal Width ; Petal Length ; Petal Width)

All four numerical variables are continous.

Step-by-step explanation:

Number of cases = Number of species * number of flowers per species

Number of cases = 3 * 57 = 171 cases

B.) Numerical variables are those variables which are quantitative in nature, that is they are made of numbers which are capable of being used for mathematical computation in a dataset such as maximum, minimum, mean and slither statistical measures.

C.) All for variables are continous as they are capable of taking up unlimited number of values within its range, including decimal values. Hence they are not finite. Continous numberical variables include, length, height, width and as given in the scenario below, they are all continous.

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'.