document.write( "Question 924751: Use the test scores below.
\n" ); document.write( "5. 81 70 73 89 68 79 91 59 77 73 80 75 88 65 82 94 77 67 82 a. What is a histogram of the data that uses intervals of 5? \n" ); document.write( "

Algebra.Com's Answer #561073 by Edwin McCravy(20056) $\"\"$ $\"About$

You can put this solution on YOUR website!

\r\n" );
document.write( ".  We always round up to \r\n" );
document.write( "the next higher whole number, which is 8.  So we'll have 8 bars.  \r\n" );
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document.write( "We start at the bottom, the \"x-axis\" and build up.\r\n" );
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document.write( "The first bar will start at 0.5 less than the lowest value,\r\n" );
document.write( "59-0.5=58.5.  \r\n" );
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document.write( "We add 5, getting 63.5, and mark that at the end of\r\n" );
document.write( "the first bar, which will also be the beginning of the second bar.\r\n" );
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document.write( "Then we add 5 to 63.5, getting 68.5. Then we continue adding 5 until\r\n" );
document.write( "we reach the 7th bar at the end of the histogram's horizontal axis. \r\n" );
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document.write( "Now we start stacking the numbers up into into whichever of the 8 \r\n" );
document.write( "categories they belong in.  \r\n" );
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document.write( "We start by stacking the first number in the list, 81, in the 5th bar \r\n" );
document.write( "from the left because it's between 78.5 and 83.5.  Then we stack the \r\n" );
document.write( "next number 70 on the 3rd bar becauser it's between 68.5 and 73.5. \r\n" );
document.write( "Then 73 goes on top of the 70 because it's also between 68.5 and 73.5,\r\n" );
document.write( "then 89 goes on the next to the last bar because it's between 88.5 and\r\n" );
document.write( "93.5, and so on and so forth.  We end up with this:\r\n" );
document.write( "             ____\r\n" );
document.write( "            | 77 |\r\n" );
document.write( "            | 75 |     ____\r\n" );
document.write( "        ____| 73 |    | 82 }\r\n" );
document.write( "       | 67 | 77 |    | 82 |     ____         \r\n" );
document.write( "   ____| 65 | 73 |____| 80 |____| 91 |____     \r\n" );
document.write( "  | 59 | 68 | 70 | 79 | 81 | 88 | 89 | 94 |\r\n" );
document.write( "  -----------------------------------------\r\n" );
document.write( "58.5 63.5 68.5 73.5 78.5 83.5 88.5 93.5 98.5\r\n" );
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document.write( "Then we erase all the numbers we-ve stacked up\r\n" );
document.write( "and just leave the bars:\r\n" );
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document.write( "             ____\r\n" );
document.write( "            |    |\r\n" );
document.write( "            |    |     ____\r\n" );
document.write( "        ____|    |    |    }\r\n" );
document.write( "       |    |    |    |    |     ____         \r\n" );
document.write( "   ____|    |    |____|    |____|    |____     \r\n" );
document.write( "  |    |    |    |    |    |    |    |    |\r\n" );
document.write( "  -----------------------------------------\r\n" );
document.write( "58.5 63.5 68.5 73.5 78.5 83.5 88.5 93.5 98.5\r\n" );
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document.write( "Or you teacher might not care if you leave the\r\n" );
document.write( "numbers in there.  But you were probably told\r\n" );
document.write( "just to count the number of numbers that go in\r\n" );
document.write( "each bar and make the bars that high and not \r\n" );
document.write( "stack the numbers up.  But I think it's easier\r\n" );
document.write( "to stack the numbers up.  You end up with the\r\n" );
document.write( "same histogram either way.\r\n" );
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document.write( "Edwin

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