 # 1. A data set consists of the ages at death Nettie Potts 2022-03-03 Answered
1. A data set consists of the ages at death for each of the 41 past presidents of United States.
2. Is this set of measurement a population or a sample?
a. What is the variable being measured?
b. What measurement scale is appropriate for the data?
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In statistics, various types of variables are studied. There are two types of variables that are mainly focused in statistics. These are:
Qualitative variable
Quantitative variable.
On the other hand, there are 4 types of scales that belong to above 2 variables. These are:
Ordinal
Interval
Ratio
Nominal
These could be defined as:
Quantitative variable : As the name suggests, those variables which have some numeric value assigned to it are classified as quantitative variable. It is discrete or continuous. For example, number of students scoring marks in 0 - 20, 20 - 40, 40 - 60, 60- 80, 80 - 100 intervals.
Qualitative variables : Such kind of variables are also known as categorical variable. The are further divided into nominal and ordinal variable. It comprises of data subdivided into different categories or groups which has no numerical value. For example, hot and cold, insured divided on the basis of no claims, 1 claim, more than 1 claim.
And,
In the interval level of measurement, the difference between the observations has a significant meaning. The interval level of measurement has no absolute zero.
A nominal level of measurement is defined as a measure that is used to label the variables.
The ratio level of measurement has similar properties to the interval level of measurement and the natural zero exists for this type of scale.
An ordinal level of measurement is used to compare the variables where the order of the data matters. It is used to divide the data based on ranking.
a). The data contains about all 38 deceased U.S presidents. Therefore, the set of measurements is a population.
b). The variable being measured is age at death of president.
c). The measurement of scale is ratio scale of measurement.

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