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Which one of the following scales of measurement can be manipulated by adding and     subtracting but NOT by multiplying and dividing?  Question 2Answera.Ratiob.Nominalc.Ordinald.Interval

Question

Which one of the following scales of measurement can be manipulated by adding and     subtracting but NOT by multiplying and dividing?  Question 2Answera.Ratiob.Nominalc.Ordinald.Interval

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Solution 1

The correct answer is d. Interval.

Interval scales of measurement can be manipulated by adding and subtracting but not by multiplying and dividing. This is because interval scales have a consistent, defined distance between each point on the scale, but they do not have a true zero point. This means that while you can determine the difference between two points, you cannot accurately determine the ratio between them, which would be required for multiplication or division.

In contrast, ratio scales do have a true zero point and can be manipulated by adding, subtracting, multiplying, and dividing. Nominal and ordinal scales are less precise and cannot be accurately manipulated by any of these mathematical operations.

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Solution 2

The correct answer is d. Interval.

Interval scales of measurement can be manipulated by adding and subtracting but not by multiplying and dividing. This is because interval scales have a consistent, defined distance between each point on the scale, but they do not have a true zero point. Therefore, it is meaningful to say that one point on the scale is a certain amount more or less than another point, but it is not meaningful to say that one point is a certain multiple or fraction of another point.

In contrast, ratio scales, which do have a true zero point, can be manipulated by adding, subtracting, multiplying, and dividing. Nominal and ordinal scales, which do not have consistent, defined distances between points, cannot be manipulated by any of these mathematical operations.

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