Question

In: Statistics and Probability

What type are each of these: discrete, continuous, or categorical? and What level are each: interval,...

What type are each of these: discrete, continuous, or categorical?

and What level are each: interval, ordinal, ratio, nomial?

-Number of Contacts on your phone
-The high daily temperature in San Jose
-The name of a college a student attends

Solutions

Expert Solution

Concepts

  • Nominal scales: These are used to labeling variables that are of no quantitative value. For eg: shirt colour: Red, Blue, Black
  • Ordinal scales: In the case of ordinal scales the order is important but we don't know the differences between each of them. For eg: 1-Not satisfied, 2- No effect, 3- Satisfied. The order is important but we can't say how much satisfied is 3 compared to 1
  • Interval: In this case, we know the order and also the difference but we don't have a true zero. For eg, temperature
  • Ratio: We have an order, difference and a true zero as well

Number of Contacts on your phone

Since the number of contacts can be from 0, 1, 2, 10, or any whole number. And the number of contacts is a quantification thing. So, it is a discrete variable and a ratio

The high daily temperature in San Jose

Temperature can be anything, even a decimal number. So, it is a continuous variable and since temperature does not have a true zero, it is an interval level


The name of a college a student attends

Name is not a number. So, it can't be continuous or discrete. It is a categorical value. It can't have any order to measure, so its a nominal scale


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