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Homework 3 C Secure https://www.webassign.net/web/Student/Assignment-Responses/s

ID: 3067953 • Letter: H

Question

Homework 3 C Secure https://www.webassign.net/web/Student/Assignment-Responses/subm Three classes took a test, with histograms of the scores shown below. # of Students # of Students # of Students 30 60 Class 2 30 60 Class 3 30 90 60 Class 1 90 (a) Overall, which class performed best? Class had the best performance because both its mean and median are higher than the other classes. (b) Describe the shape of the distributions: The distribution of the scores for Class 1 is The distribution of the scores for Class 2 is The distribution of the scores for Class 3 is and … and and IS (c) Match each boxplot to its corresponding class:

Explanation / Answer

a) Class 1 had the best performance

b) Unimodal distribution has one clear peak

Bimodal distribution has two clear peak

the distribution for the score of class 1 is unimodal any symmetric

the distribution for the score of class 2 is unimodal and left skewed

the distribution for the score of class 3 is bimodal and symmetric

c) Boxplot A corresponds to Class 3 as this distribution is symmetric and bimodal

Boxplot B corresponds to class 1 as this distribution is symmetric and pretty normal

Boxplot C corresponds to class 2 it is skewed to the left.

d) The mean would increase

the median would increase

The standard deviation will remain the same

The IQR will remain same