document.write( "Question 1196678: ATTACHED IS THE CHART:https://imagizer.imageshack.com/img924/482/OjKL0M.jpg \r
\n" ); document.write( "\n" ); document.write( "As the new manager of a small convenience store, you want to understand the shopping patterns of your customers. You randomly sample 20 purchases from yesterday's records. The amounts of those purchases (in dollars) are shown to the right.
\n" ); document.write( "Find the quartiles using technology.
\n" ); document.write( "Q1 and Q3
\n" ); document.write( "Find the quartiles using the Tukey method.
\n" ); document.write( "Q1 and Q3
\n" ); document.write( "c) Find the IQR using the quartiles from part b.
\n" ); document.write( "IQR \n" ); document.write( "

Algebra.Com's Answer #829911 by MathLover1(20850) $\"\"$ $\"About$

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\n" ); document.write( "given:
\n" ); document.write( " $\"40.40\"$ | $\"5.18\"$ | $\"32.59\"$ | $\"47.01\"$
\n" ); document.write( " $\"37.12\"$ | $\"34.61\"$ | $\"63.44\"$ | $\"51.53\"$
\n" ); document.write( " $\"57.32\"$ | $\"81.13\"$ | $\"47.50\"$ | $\"11.65\"$
\n" ); document.write( " $\"21.83\"$ | $\"42.21\"$ | $\"38.77\"$ | $\"32.05\"$
\n" ); document.write( " $\"76.72\"$ | $\"72.80\"$ | $\"46.93\"$ | $\"65.45\"$ \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Order your data set from lowest to highest values\r
\n" ); document.write( "\n" ); document.write( " $\"4.61\"$ , $\"5.18\"$ , $\"11.65\"$ , $\"21.83\"$ , $\"32.05\"$ , $\"32.59\"$ , $\"37.13\"$ , $\"38.77\"$ , $\"40.40\"$ , $\"42.21\"$ , $\"+46.93\"$ , $\"47.01\"$ , $\"47.50\"$ , $\"51.53\"$ , $\"+57.32\"$ , $\"+63.44\"$ , $\"65.45\"$ , $\"72.80\"$ , $\"76.72\"$ , $\"+81.13\"$ \r
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\n" ); document.write( "\n" ); document.write( "Find the median (add all and divide the sum by number of data). This is the second quartile $\"Q2\"$ .\r
\n" ); document.write( "\n" ); document.write( " $\"Q2=+%2842.21%2B46.93%29%2F2=44.57\"$ \r
\n" ); document.write( "\n" ); document.write( "At $\"Q2\"$ split the ordered data set into two halves.\r
\n" ); document.write( "\n" ); document.write( " $\"4.61\"$ , $\"5.18\"$ , $\"11.65\"$ , $\"21.83\"$ , $\"32.05\"$ , $\"32.59\"$ , $\"37.13\"$ , $\"38.77\"$ , $\"40.40\"$ , $\"42.21\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"+46.93\"$ , $\"47.01\"$ , $\"47.50\"$ , $\"51.53\"$ , $\"+57.32\"$ , $\"+63.44\"$ , $\"65.45\"$ , $\"72.80\"$ , $\"76.72\"$ , $\"+81.13\"$ \r
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\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "The lower quartile $\"Q1\"$ is the median of the lower half of the data.\r
\n" ); document.write( "\n" ); document.write( " $\"4.61\"$ , $\"5.18\"$ , $\"11.65\"$ , $\"21.83\"$ , $\"32.05\"$ , $\"32.59\"$ , $\"37.13\"$ , $\"38.77\"$ , $\"40.40\"$ , $\"42.21\"$ \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " $\"Q1+=+%2832.05%2B32.59%29%2F2=32.32+\"$ }\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "The upper quartile $\"Q3\"$ is the median of the upper half of the data.\r
\n" ); document.write( "\n" ); document.write( " $\"+46.93\"$ , $\"47.01\"$ , $\"47.50\"$ , $\"51.53\"$ , $\"+57.32\"$ , $\"+63.44\"$ , $\"65.45\"$ , $\"72.80\"$ , $\"76.72\"$ , $\"+81.13\"$ \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " $\"Q3=%2857.32%2B63.44%29%2F2=60.38\"$ \r
\n" ); document.write( "\n" ); document.write( "Interquartile Range:
\n" ); document.write( " $\"IQR+=+Q3+-+Q1\"$
\n" ); document.write( " $\"IQR+=60.38-+32.32+=28.06\"$ \r
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