Question

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

Answer 1

Answer:

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.