Which scale can be subjected to addition subtraction multiplication and division?
Answers
Answer:
A scale is a device or an object used to measure or quantify any event or another object.In Statistics, the variables or numbers are defined and categorised using different scales of measurements. Each level of measurement scale has specific properties that determine the various use of statistical analysis. In this article, we will learn four types of scales such as nominal, ordinal, interval and ratio scale.In interval scales, addition and subtraction make sense, but multiplication and division do not. That is, 70 degrees is not “twice as hot” as 35 degrees.
There are four different scales of measurement. The data can be defined as being one of the four scales. The four types of scales are:
1.Nominal Scale
2.Ordinal Scale
3.Interval Scale
4.Ratio Scale.
Step-by-step explanation:
1.Nominal Scale:
A nominal scale is the 1st level of measurement scale in which the numbers serve as “tags” or “labels” to classify or identify the objects. A nominal scale usually deals with the non-numeric variables or the numbers that do not have any value.
Characteristics of Nominal Scale:
A nominal scale variable is classified into two or more categories. In this measurement mechanism, the answer should fall into either of the classes.It is qualitative. The numbers are used here to identify the objects.The numbers don’t define the object characteristics. The only permissible aspect of numbers in the nominal scale is “counting.”
2.Ordinal Scale:
The ordinal scale is the 2nd level of measurement that reports the ordering and ranking of data without establishing the degree of variation between them. Ordinal represents the “order.” Ordinal data is known as qualitative data or categorical data. It can be grouped, named and also ranked.
Characteristics of the Ordinal Scale:
The ordinal scale shows the relative ranking of the variablesIt identifies and describes the magnitude of a variableAlong with the information provided by the nominal scale, ordinal scales give the rankings of those variablesThe interval properties are not knownThe surveyors can quickly analyse the degree of agreement concerning the identified order of variables.
3.Ratio Scale
The ratio scale is the 4th level of measurement scale, which is quantitative. It is a type of variable measurement scale. It allows researchers to compare the differences or intervals. The ratio scale has a unique feature. It possesses the character of the origin or zero points.
Characteristics of Ratio Scale:
Ratio scale has a feature of absolute zeroIt doesn’t have negative numbers, because of its zero-point featureIt affords unique opportunities for statistical analysis. The variables can be orderly added, subtracted, multiplied, divided. Mean, median, and mode can be calculated using the ratio scale.Ratio scale has unique and useful properties. One such feature is that it allows unit conversions like kilogram – calories, gram – calories, etc.