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Calculate Mean And Standard Deviation And Applying Chebyshev’s Theorem

Question

UOIT has a number of different classes on Tuesday nights. Of the six classrooms in the UA building, the number of students in each was:

 Classroom Number

Number of Students

#1

28

#2

33

#3

36

#4

21

#5

8

#6

24

 

 
  • What was the average number of students per classroom in this small sample?
  • What was the standard deviation?
  • If the average number of students per night class taking English as a Second Language is 50, can one say, based on this small sample of night classes, that the English as a Second Language night class size is unusually large?
    1. Assume the frequency distribution of students per class follows a normal distribution and consider the Empirical Rule. Explain.
    2. Assume the frequency distribution of students per class does not follow a normal distribution and consider Chebyshev’s theorem. Explain

Summary

The question belongs to Statistics and it discusses about calculation of average of small sample, standard deviation and applying Chebyshev’s theorem.

Total Word Count 224

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Comments

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