In each of the two introductory statistics sections, 10 random students were asked how many hours, on average, they study prior test. Here are their responses:   What is the variance and standard deviation in both samples   CLASS A Student 1: 1 hour Student 2: 4 hours Student 3: 3 hours Student 4: 0 hours Student 5: 2 hours Student 6: 12 hours Student 7: 1 hour Student 8: 2 hours Student 9: 2 hours Student 10: 3 hours CLASS B Student 1: 2 hours Student 2: 2 hours Student 3: 2 hours Student 4: 4 hoursStudent 5: 4 hoursStudent 6: 3 hours Student 7: 2hours Student 8: 2 hours Student 9: 4 hours Student 10: 3 hours

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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In each of the two introductory statistics sections, 10 random students were asked how many hours, on average, they study prior test. Here are their responses:

 

What is the variance and standard deviation in both samples

 

CLASS A

Student 1: 1 hour
Student 2: 4 hours
Student 3: 3 hours
Student 4: 0 hours
Student 5: 2 hours
Student 6: 12 hours
Student 7: 1 hour
Student 8: 2 hours
Student 9: 2 hours
Student 10: 3 hours

CLASS B

Student 1: 2 hours
Student 2: 2 hours
Student 3: 2 hours
Student 4: 4 hours
Student 5: 4 hours
Student 6: 3 hours
Student 7: 2hours
Student 8: 2 hours
Student 9: 4 hours
Student 10: 3 hours

 

Expert Solution
Step 1

In this context, value corresponding to student 6 is different from other values. Here, it is considered as 12 hours.

Mean:

The mean of the class A is:

Statistics homework question answer, step 1, image 1

Step 2

The variance for the Class A is:

Statistics homework question answer, step 2, image 1

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