Box and Whisker Plots | MathHelp.com - By MathHelp.com
Transcript
00:0-1 | in this example we're asked to make a box and | |
00:02 | whisker plot for the given data set . To make | |
00:06 | a box . And whisker plot . Our first step | |
00:08 | is to write the numbers in order from least to | |
00:10 | greatest . And we have three seven seven eight nine | |
00:28 | 12 . Yeah and 14 . Mhm . Next we | |
00:36 | find the median or middle number of our data set | |
00:39 | which in this case is eight because eight has 3 | |
00:43 | numbers on either side of it in a box . | |
00:46 | And whisker plot however the median is called the second | |
00:50 | quartile . So eight is the second quartile . Next | |
00:58 | we find the 1st and 3rd quartile . The first | |
01:02 | quartile is the median or middle number of the lower | |
01:05 | half of our data set . Which in this case | |
01:08 | is seven So seven is the first quartile And the | |
01:18 | third quartile is the median or middle number of the | |
01:21 | upper half of our data set which in this case | |
01:24 | is 12 . So 12 is the 3rd quartile . | |
01:29 | Yeah mm . Finally we label the least and greatest | |
01:36 | numbers and we can see that the least number is | |
01:39 | three And the greatest number is 14 . Yeah . | |
01:51 | Now we're ready to make our box and whisker plot | |
01:54 | . So we use a number line that has an | |
01:56 | appropriate scale for our given data , which in this | |
01:59 | case is a number line that goes from 1-15 . | |
02:03 | Next we draw a vertical line segments at the 1st | |
02:07 | , 2nd and 3rd corps tiles . So we draw | |
02:11 | a vertical line segments at seven , eight and 12 | |
02:22 | . Next we connect the end points at the top | |
02:25 | and bottom of our vertical line segments to form a | |
02:28 | box . Now we draw a line segment from the | |
02:42 | least number 3 to the box And a line segment | |
02:52 | from the box to the greatest # 14 . These | |
03:01 | line segments are called the Whiskers and we have our | |
03:04 | box and Whisker plot . Notice that a box and | |
03:07 | whisker plot is a good way to get an overall | |
03:10 | picture of the data set . We have our least | |
03:13 | number , the first quartile , the second quartile or | |
03:17 | overall median of the data set , the third quartile | |
03:21 | and the greatest number . |
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