2-13. A St. Louis–based shipping company recently selected a random sample of 49 airplane weight slips for crates shipped from an automobile parts supplier. The weights, measured in pounds, for the sampled

crates are as follows:

 

 

 

 

 

a.  Create a data array of the weights.

b. Develop a frequency distribution using five classes having equal widths.

c.  Develop a histogram from the frequency distribution you created in part b.

d. Develop a relative frequency and a cumulative relative frequency distribution for the weights using the same five classes created in part b. What percent of the sampled crates have weights greater than 96

 

 

He also tracked the general time slot when the advertiser’s commercials were shown on the station. The following codes were used:

1     morning          2     afternoon

3     evening           4     various times

causing sales of houses to decline in almost every

part of the country. Many homes were foreclosed because the owners could not make the payments. Below is a sample of 100 residential properties and the total balance on the mortgage at the time of foreclosure.

 

 

 

$172,229       $211,021       $159,205       $247,697       $247,469

$176,736       $240,815       $195,056       $315,097       $257,150

$129,779       $207,451       $165,225       $178,970       $319,101

$ 87,429       $219,808       $242,761       $277,389       $213,803

$153,468       $205,696       $210,447       $179,029       $241,331

$117,808       $188,909       $376,644       $185,523       $168,145

$158,094       $135,461       $131,457       $263,232       $256,262

$240,034       $289,973       $302,341       $178,684       $226,998

$176,440       $268,106       $181,507       $118,752       $251,009

$196,457       $195,249       $195,986       $201,680       $233,182

$271,552       $123,262       $212,411       $246,462       $177,673

$103,699       $252,375       $192,335       $265,992       $232,247

$320,004       $213,020       $192,546       $295,660       $211,876

$265,787       $207,443       $203,043       $133,014       $289,645

$251,560       $302,054       $185,381       $284,345       $184,869

$237,485       $282,506       $278,783       $335,920       $199,630

$248,272       $232,234       $188,833       $168,905       $357,612

$241,894       $186,956       $114,601       $301,728       $251,865

$207,040       $221,614       $318,154       $156,611       $219,730

$201,473       $174,840       $196,622       $263,686       $159,029

 

 

a.  Using the 2k     n guideline, what is the minimum number of classes that should be used to display these data in a grouped data frequency distribution?

b. Referring to part a, what should the class width be, assuming you round the width up to nearest $1,000?

c.  Referring to parts a and b, develop a grouped data frequency distribution for these mortgage balance data.

d. Based on your answer to part c, construct and interpret a frequency histogram for the mortgage balance data.

 

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