Box and Whisker Plots | MathHelp.com - Free Educational videos for Students in K-12 | Lumos Learning

Box and Whisker Plots | MathHelp.com - Free Educational videos for Students in k-12


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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