In each of the following situations, identify the scale(s) of measurement that is appropriate for each situation. (i) A visiting school inspector asked a class teacher to rank the thirty students in her class on “level of discipline”, with 1 standing for the least disciplined student and 30 standing for the most disciplined student. (ii) 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. (iii) “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.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 30PPS
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In each of the following situations, identify the scale(s) of

measurement that is appropriate for each situation.

(i) A visiting school inspector asked a class teacher to rank the

thirty students in her class on “level of discipline”, with 1 standing

for the least disciplined student and 30 standing for the most

disciplined student.

(ii) 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.

(iii) “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.

(iv) One thousand students in a statistics class are asked to rate

their lecturer on teaching effectiveness at the end of the

semester, where rating scores on teaching effectiveness can

possibly range between 10 and 50.

(v) 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”.

 

NB: answer all questions

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