Question

In each of the following situations, identify the scale(s) of measurement that is appropriate for each situation.

a)Identical twins living in different environments are being compared to find out the influence of the environment on their academic performance. A standard test on academic performance is giving to fifty (50) sets of identical twins and their performance graded over 100.
b)Regular" students and students admitted under the distance learning programme into Accra Institute of Technology are administrated a questionnaire measuring "level of maturity" of the students, with scores on "level of maturity" ranging from 0 to 10.
c)A relationship is to be established between "Campus of Study" and "Academic Performance" among Accra Institute of Technology students at KCC campus and Seaview campus based on their final grade point average (FGPA), classified as "Good" (FGPA of 3.2 or better), "Average" (FGPA of 2.5 to 3.19) or "Poor" (FGPA below 2.5). Five hundred (500) and 100 students are sampled from KCC campus and Seaview campus respectively. Out of the 500 students sampled from KCC campus, 200 were classified as "Good" as "Average" and the rest as "Poor". Out of the 100 students sampled from Seaview campus, 30 were classified as "Good", 40 as "Average", and the rest as "Poor"

Answer 1

In situation a), the appropriate scale of measurement is interval scale. In situation b), the appropriate scale of measurement is ratio scale. In situation c), the appropriate scale of measurement is ordinal scale.

Step-by-step explanation:

In situation a), the appropriate scale of measurement for comparing the academic performance of identical twins in different environments is interval scale. This is because the academic performance is graded over 100, indicating equal intervals between the grades. The scale has no true zero point since a score of 0 does not represent the absence of academic performance.

In situation b), the appropriate scale of measurement for measuring the level of maturity of students is ratio scale. This is because the scores on level of maturity range from 0 to 10, have equal intervals, and have a true zero point, indicating the absence of maturity.

In situation c), the appropriate scale of measurement for establishing the relationship between Campus of Study and Academic Performance is ordinal scale. This is because the final grade point average (FGPA) is classified into three categories: Good, Average, and Poor. The categories have a natural order, but the intervals between them may not be equal.