Case Study A researcher is comparing two multiple-choice tests with different conditions. In the first test, a typical multiple-choice test is administered. In the second test, alternative choices (i.e. incorrect answers) are randomly assigned to test takers. The results from the two tests are given below. Regular test Randomized answers Mean 59.9 44.8 S.D. 10.2 12.7 Question 1 : Can the scatterness of the two distributions be compared, just by looking at the given figures? Select one: a. Yes, as the S.D. is given b. No, as the mean is not same c. May be d. Can't say
Answers
Given : The results from the two tests are given
Regular test Randomized
Mean 59.9 44.8
SD 10.2 12.7
To Find: Can the scatterness of the two distributions be compared, just by looking at the given figures
Solution:
scatterness of the two distributions be compared by comapring their
Measures of Relative Dispersion
CV = (SD/Mean) * 100
CV = Coefficient of Variation
CV is Measures of Relative Dispersion or relative scatterness of Data
SD = Standard Deviation
As SD and Mean are given for both of Dats
Hence Relative Dispersion can be calculated for both the Data
option a. Yes, as the S.D. is given is the correct answer
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