Introduction to Probability and Statistics
Introduction to Probability and Statistics
14th Edition
ISBN: 9781133103752
Author: Mendenhall, William
Publisher: Cengage Learning
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Chapter 2.2, Problem 2.12E

a.

To determine

To find: The average price for 14 sellers.

a.

Expert Solution
Check Mark

Answer to Problem 2.12E

The average price for 14 sellers is 322.4107 .

Explanation of Solution

Given information: The data is shown below.

    SellerPrice($)SellerPrice($)
    Buy.com216.49Dell184.86
    Sears222.84Kmart222.84
    Sam's Club180.17EagleDirectUSA231.04
    Sales279.90Wii4family262.95
    Place Toys280.98Quickship299.48
    Simbaoo7289.97Buy-it-now384.99
    Jandk42S433.00SW Evolution1024.24

Calculation:

The data is shown below.

    SellerPrice($)
    Buy.com216.49
    Sears222.84
    Sam's Club180.17
    Sales279.90
    Place Toys280.98
    Simbaoo7289.97
    Jandk42S433.00
    Dell184.86
    Kmart222.84
    EagleDirectUSA231.04
    Wii4family262.95
    Quickship299.48
    Buy-it-now384.99
    SW Evolution1024.24
    Total4513.75

The mean is,

  x¯= x 1 n=4513.7514=322.4107

Thus, the average price for 14 sellers is 322.4107 .

b.

To determine

To find: The median of the data.

b.

Expert Solution
Check Mark

Answer to Problem 2.12E

The median of the data is 271.425 .

Explanation of Solution

Given information: The data is shown below.

    SellerPrice($)SellerPrice($)
    Buy.com216.49Dell184.86
    Sears222.84Kmart222.84
    Sam's Club180.17EagleDirectUSA231.04
    Sales279.90Wii4family262.95
    Place Toys280.98Quickship299.48
    Simbaoo7289.97Buy-it-now384.99
    Jandk42S433.00SW Evolution1024.24

Calculation:

The median is,

  Median=262.95+279.92=271.425

Thus, the median of the data is 271.425 .

c.

To determine

To find:Whether the customer is interested in average price if not the variable in which customer is interested.

c.

Expert Solution
Check Mark

Answer to Problem 2.12E

The customer is not interested in average price and the variable is mode.

Explanation of Solution

Given information: The data is shown below.

    SellerPrice($)SellerPrice($)
    Buy.com216.49Dell184.86
    Sears222.84Kmart222.84
    Sam's Club180.17EagleDirectUSA231.04
    Sales279.90Wii4family262.95
    Place Toys280.98Quickship299.48
    Simbaoo7289.97Buy-it-now384.99
    Jandk42S433.00SW Evolution1024.24

Since, the average can be misleading and the average provide the collected data of the all values while the mode provide the frequency of the value.

Thus, the customer is not interested in average price and the variable is mode.

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Chapter 2 Solutions

Introduction to Probability and Statistics

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