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   3 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
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.1: Measures Of Center
Problem 9PPS
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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

 


3

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”.

 

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