Many did measure their noses and found anywhere from 1.5 to 2.5 inch noses, with arms around 18-22 inches. From that point it was easy.  If your arm had 12 noses then so would the Statue of liberty.  Multiply 12 x 4.5 and that gives about 54 feet.
How long is  the Statue of Liberty's arm is if you know her nose is four feet six inches.  Would knowing how many noses are in your arm help? Would you like to set up a ratio?  Will you divide?  After you have found out your best guess based upon mathematics, see if you can find out exactly.  How does your estimate compare? How do you compare to others?  Why are there so many variations?
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The actual length is 42 feet as reported by the park Service.

     You know the song the 12 Days of Xmas?
        This makes for a wonderful problem.  Think about  the  lyrics:
          On the first day of Christmas my true love gave to me      a partridge in a pear tree
              On the second day of Christmas my true love   gave to me
2 turtle doves and a partridge in a pear tree        tree.   On the third day of Christmas my true love  gave to me,
Three french hens,
Two turtle doves and a partridge in a pear tree.   And so on.
Now here is the question.   Based upon the song, and the idea that every day you not only get a new gift but a repeat of all the other gifts previously given, how many total gifts were given over the twelve days.   Oh the patterns you will find!  Can you make a  line plot  to help?     This is a lot of fun to try to calculate the amount of presents the true love gave to his true love.
The final POW for the Semester is a PROJECT.

You are to develop a survey question, ask 20 people this question, keep a frequency (tally) talble.  Then display the whole project including a graph on a poster.  Present it to the class.
The question is your survey question.  Put this at the top of the poster.
The plan lists how you did the survery (in person, by mail, by phone) and what type of people did you ask (adults, kids, only blondes etc.)
The work is the frequency table.
The results is the graph
The comment should show either mean median mode or range and some observations you found after doing this
It will be graded on your accuracy, your neat and decorative display.
Good luck and we will see them the end of the week!
  If  Feb 19 is the 100/180 day of school
which indicates 55%of the year done, what day and month will be the 75%?  You will need to show all your thinking....include a calendar to help if you used one. Show this on a circle graph as well.
For the 12 Days of Xmas POW which is based upon a song
we will be using a line plot graph to show what happens, so be sure to review how those graphs are made by checking  your book.   Then set up like the x 's above Can you tell that I have sung "On the first day of Christmas my ture love gave to me...a partridge in a pear tree,  on the second day of Xmas my true love gave to me two turtle doves and a partrige in a pear tree.  On the third day of xmas my true love gave to me, 3 french hens ....and that is where I stopped my plots.
  For extra determine the total cost this year to purchase all those gifts! (The internet provides some great sites for this)                 
x    x     x
x     x    x

PP  Td  Fh  Cb GR  GL  SS  MM  LD  LL  PP  DD

pp= partridge in a pear tree   MM= Maids a Milking
Td = turtle doves                   LD = Ladies Dancing
Fh= French Hens                  LL= Lords A Leaping
GR= Gold Rings                   PP= Pipers Piping
GL= Geese A Laying             DD= Drummers Drumming
SS= Swans a Swiming
Is that light post really bigger than the statue of liberty.  No, the scale is different.  We will be using the proportion of how long the Statue of Liberty's nose is, to her arm based upon how many noses are in your arm. to find out the length of the Staue of LIberty's arm.