A scale factor is a number which scales or multiples a quantity. They are used to create maps and other scale diagrams. When things are too big to draw on paper, scale factors are used to calculate smaller, proportional measurements.
Measurement is the process of recording observations collected as part of the research. Scaling, on the other hand, is the assignment of objects to numbers or semantics. These two words merged together refer to the relationship among the assigned objects and the recorded observations. A measurement scale is used to qualify or quantify data variables in statistics. It determines the kind of techniques to be used for statistical analysis.
There are different kinds of measurement scales, and the type of data being collected determines the kind of measurement scale to be used for statistical measurement. These measurement scales are four in number, namely; nominal scale , ordinal scale , interval scale , and ratio scale. The measurement scales are used to measure qualitative and quantitative data. With nominal and ordinal scale being used to measure qualitative data while interval and ratio scales are used to measure quantitative data.
Identity is defined as the assignment of numbers to the values of each variable in a data set. Consider a questionnaire that asks for a respondent's gender with the options Male and Female for instance. The values 1 and 2 can be assigned to Male and Females respectively. Arithmetic operations can not be performed on these values because they are just for identification purposes.
This is a characteristic of a nominal scale. The magnitude is defined as the size of a measurement scale, where numbers the identity have an inherent order from least to highest. They are usually represented on the scale in ascending or descending order.
The position in a race, for example, is arranged from the 1st, 2nd, 3rd to the least. This example is measured on an ordinal scale because it has both identity and magnitude. Equal Intervals are defined as the scale that has a standardized order. This is not the case for the ordinal scale example highlighted above. Each position does not have an equal interval difference. In a race, the 1st position may complete the race in 20 secs, the 2nd position in A variable that has an identity, magnitude, and equal interval is measured on an interval scale.
Absolute zero is defined as the feature that is unique to a ratio scale. It means that there is an existence of zero on the scale, and is defined by the absence of the variable being measured e. The level of measurement of a given data set is determined by the relationship between the values assigned to the attributes of a data variable.
For example, the relationship between the values 1 and 2 assigned to the attributes male and female of the variable Gender is "identity". This via. By knowing the different levels of data measurement, researchers are able to choose the best method for statistical analysis.
The different levels of data measurement are: nominal, ordinal, interval, and ratio scales. The nominal scale is a scale of measurement that is used for identification purposes. It is the coldest and weakest level of data measurement among the four. Sometimes known as categorical scale, it assigns numbers to attributes for easy identity. These numbers are however not qualitative in nature and only act as labels.
The only statistical analysis that can be performed on a nominal scale is the percentage or frequency count. It can be analyzed graphically using a bar chart and pie chart. In the example below, the measurement of the popularity of a political party is measured on a nominal scale. Which political party are you affiliated with? Labeling Independent as "1", Republican as "2" and Democrat as "3" does not in any way mean any of the attributes are better than the other.
They are just used as an identity for easy data analysis. Ordinal Scale involves the ranking or ordering of the attributes depending on the variable being scaled. The items in this scale are classified according to the degree of occurrence of the variable in question. The attributes on an ordinal scale are usually arranged in ascending or descending order.
It measures the degree of occurrence of the variable. Ordinal scale can be used in market research, advertising, and customer satisfaction surveys. It uses qualifiers like very, highly, more, less, etc. We can perform statistical analysis like median and mode using the ordinal scale, but not mean.
However, there are other statistical alternatives to mean that can be measured using the ordinal scale. Scale Scale is a ratio that represents the relationship between the dimensions of a model and the corresponding dimensions on the actual figure or object.
Definition of Scale 2. How to Use a Scale For Drawings? How to Interpret Scale Drawing? Solved Examples on Scale 5. Practice Questions on Scale 6. Solved Examples on Scale Example 1. Solution: If we observe the two figures, we see that two corresponding lengths are given as 8 and 4. Solution: The given scale is , i. Breakdown tough concepts through simple visuals. Math will no longer be a tough subject, especially when you understand the concepts through visualizations. Practice Questions on Scale.
Explore math program. Explore coding program. Geometry Worksheets. Make your child naturally math minded. The measurement 50mm is divided by 5 to give 10mm. A 10mm line is drawn. A 50mm line is to be drawn at a scale of The measurement 50mm is divided by 2 to give 25mm.
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