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Coffee Contents During a quality assurance check, the

Elementary Statistics: Picturing the World | 6th Edition | ISBN: 9780321911216 | Authors: Ron Larson; Betsy Farber ISBN: 9780321911216 66

Solution for problem 57E Chapter 2.3

Elementary Statistics: Picturing the World | 6th Edition

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Elementary Statistics: Picturing the World | 6th Edition | ISBN: 9780321911216 | Authors: Ron Larson; Betsy Farber

Elementary Statistics: Picturing the World | 6th Edition

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Problem 57E

Problem 57E

Coffee Contents During a quality assurance check, the actual coffe contents (in ounces) of six jars of instant coffee were recorded as 6.03, 5.59, 6.40, 6.00, 5.99, and 6.02.

(a) Find the mean and the median of the coffee content.

(b) The third value was incorrectly measured and is actually 6.04. Find the mean and the median of the coffee content again.

(c) Which measure of central tendency, the mean or the median, was affected more by the data entry error?

Step-by-Step Solution:

Solution

Step 1 of 3

Given that the coffee content of 6 jars were recorded as follows

6.03, 5.59, 6.40, 6.00, 5.99, 6.02

a) We have to find the mean and median of the coffee content

Means is the average of all the values

Mean=

         =

         =36.03/6

         =6.005

Median is the middle value of the data set

To find median first arrange the values in the ascending order

5.59, 5.99, 6.00, 6.02, 6.03, 6.40

Median =

             =(6+1)/2  th value

             =(3.5)th value

             =(3rd value+4th  value)/2

             =(6.00+6.02)/2

             =6.01

Hence Mean=6.005

        Median=6.01


Step 2 of 3

Chapter 2.3, Problem 57E is Solved
Step 3 of 3

Textbook: Elementary Statistics: Picturing the World
Edition: 6
Author: Ron Larson; Betsy Farber
ISBN: 9780321911216

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Coffee Contents During a quality assurance check, the