Categories and explain the following variables as discrete variables or
continuous variables :
(1) Height of a student
(ii) Distance covered
(iii) Number of students in a class
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(1) Height of a student:Continuous Variable
(2) Distance covered:Continuous Variable
(3) Number of students in a class:Discrete Variable
Explanation:
- In Statistics,continuous variables can take a continuous range of numerical values including fractions,decimals etc.Hence,the values of continuous variables can be numerically continuous or consistent.
- On the other hand,discrete variables can only take distinct or separate whole numbers or integers and cannot be expressed in terms of any fraction,ratio or decimals.
- In this case,note that height and distance can be commonly expressed in terms of decimals or fractions such as a height of 5.6 inches or a total distance of 23.4 kilometers.But,number of students cannot be denoted as a fraction or decimal or in other words,we cannot say there are 30.5 students in the class.Number of students can only take a distinct whole number or integer.
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