st 4 on 6 Suppose you're given a data set that classifies each sample unit into one of four categories A. B,C,Or D. You plan to create a computer database consisting of these data and you decide to code the data as A=1,B=2,C=3 and D=4 Are the data consisting of the classifications A B. C and D qualitative or quantitative? After the data are input as 1,2,3 or 4, are they qualitative or quantitative? (iii) Are the data consisting of the classifications A, B, C and D qualitiative or quantitative? Quantitative, because they can only be classified into categories Quantitative, because they are measured on a naturally occuring numerical scale C Qualitative, because they can only be classified into categories Qualitative, because they are measured on a naturally occuring numerical scale After the data are input as 1,2,3, or 4, are they qualitative or quantitative? A. Qualitative, because they cannot be meaningfully added subtracted, multiplied, or divided B. Quantitative because they are measured on a naturally occurring numerical scale C. Qualitative, because they are measured on a naturally occurring numerical scale, D. Quantitative, because they cannot be meaningfully added subtracted, multiplied, or divided

Let's address each part of the question step by step.<br /><br />### Part 1: Are the data consisting of the classifications A, B, C, and D qualitative or quantitative?<br /><br />**Qualitative data** are categorical in nature and describe attributes or characteristics. They cannot be measured on a numerical scale and are used to classify or categorize data. Examples include colors, names, labels, and other attributes.<br /><br />**Quantitative data** are numerical and can be measured or counted. They can be used in mathematical calculations and can be added, subtracted, multiplied, or divided.<br /><br />Given that the data set classifies each sample unit into one of four categories (A, B, C, or D), and the categories are coded as \(A=1\), \(B=2\), \(C=3\), and \(D=4\), the data are used to classify or categorize the sample units.<br /><br />**Answer:**<br />C. Qualitative, because they can only be classified into categories.<br /><br />### Part 2: After the data are input as \(1, 2, 3,\) or \(4\), are they qualitative or quantitative?<br /><br />Even after coding the data as numbers, the nature of the data remains the same. The numbers are merely labels or codes for the categories A, B, C, and D. They do not represent measurements or quantities that can be subjected to mathematical operations.<br /><br />**Answer:**<br />A. Qualitative, because they cannot be meaningfully added, subtracted or divided.<br /><br />### Summary<br /><br />1. The classifications A, B, C, and D are qualitative because they can only be classified into categories.<br />2. After coding the data as \(1, 2, 3,\) or \(4\), they remain qualitative because they cannot be meaningfully added, subtracted, multiplied, or divided.<br /><br />Thus, the correct answers are:<br />- For the first part: C. Qualitative, because they can only be classified into categories.<br />- For the second part: A. Qualitative, because they cannot be meaningfully added, subtracted, multiplied, or divided.