The bubble in U.S. housing prices burst in 2008, 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.

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.

$172,229 $211,02 S159,205 $247,697 $247.469 S176.736 $240.815 S195,056 S315,097 S257.150 $129.779 $207.451 $165.225 $178.970 S319.101 S 87,429 $219,808 $242,76 S277.389 $213,803 S153.468 $205.696 $210.447 $179,029 $241,331 SI17,808 S188,909 S376,644 S185,523 S168.145 S158,094 S135,46 S131457 S263,232 S256,262 $240,034 S289,973 S302,34 $178,684 $226,998 176.440 S268.106 SI81,507 SI18.752 S25 1.009 S196.457S195,249 S195,986 $201,680 $233.182 $271,552 S123,262 $212,411 S246.462 S177.673 S103.699 $252.375 S192,335 $265,992 $232.247 S320,004 S213,020 S192,546 S295.660 $211,876 $265,787 $207,443 S203,043 S133,014 $289,645 S25,560 S302,054 S185,381 S284.345 S184.869 $237.485 S282.506 S278.783 S335.920 S199.630 8,905 S357,612 $241,894 S186,956 $114,60 S301,728 $251,865 $207,040 S221.61 S318,154 $156,6 $219.730 $201.473 S174.840 S196,622 $263.686 159.029 1 $248,272 $232.234 S188,833 $16 4