Which of the following is NOT true when a scale is a ratio scale?
A) Transformations of the form y = bx are permissible
B) The scale is invariant for all transformations of the form y = a - bx
C) If "a" is greater than "b" and "b" is greater than "c," then "a" is greater than "c"
D) If "a" equals "b" and "b" equals "c," then "a" equals "c"
E) The mode and the median are permissible measures of central tendency

Question

Quizplus · Accepted Answer

Ratio scales have a true zero point, allowing for meaningful comparisons using multiplication and division. Transformations of the form y = bx (where b is a constant) are permissible because they preserve the ratio between scale values. However, transformations of the form y = a - bx (where a and b are constants) are not permissible because they can alter the zero point of the scale, violating the principle that ratio scales must have a meaningful zero point. Statements C and D describe basic properties of equality and order that are true for all scales, not just ratio scales. Statement E is correct because both the mode and the median can be used as measures of central tendency for ratio scales.

Which of the Following Is NOT True When a Scale