Chapter ISG, Problem 10.1.5P

a.

To determine

To calculate mean and mean absolute deviation.

Answer to Problem 10.1.5P

  

  

Explanation of Solution

Given information:

  

Formula used:

  

MAD is mean absolute deviation

n is number of frequency

Calculation:

Table for package weight

  

  

  

n=6

Using mean formula

  

On solving,

  

Using the mean absolute deviation formula

  

On solving,

  

b.

To determine

To explain how well mean represent data.

Answer to Problem 10.1.5P

Mean absolute deviation (MAD) of a data set is the average distance between each data value and the mean. Mean absolute deviation is a way to describe variation in a data set. Mean absolute deviation helps to get a sense of how "spread out" the values in a data set are.

Explanation of Solution

Given information:

  

  

  

Mean absolute deviation (MAD) of a data set is the average distance between each data value and the mean. Mean absolute deviation is a way to describe variation in a data set. Mean absolute deviation helps to get a sense of how "spread out" the values in a data set are.

c.

To determine

To explain how well mean represent data.

Answer to Problem 10.1.5P

It can be represented as sample but not represented as population of entire post office

Explanation of Solution

Given information:

  

  

  

A population data set contains the entire list of possible data values.

A sample data set contains a part, or a subset, of a population. The size of a sample is always less than the size of the population from which it is taken.

Here, package weight is the sample of the entire post office.It can be represented as sample but not represented as population of entire post office