For Problem 8, find the first quartile, the median, and the third quartile, and draw the corresponding box-and-whisker diagram. a) 1,3,5,6,8,8,10b) 9,10,16,17,21,25,25,25c)15,16,18, 22,24,30,37,39,44d)23,31,37,39,40,42,44,48,65 shown below.Note: In a box-and-whisker diagram, the width of the box is arbitraryA bar-and-whisker diagram can be drawn vertically506asExample 5.- maximum value504++ Q,502 -Volume (mL)+ median500+< Q,498 +496 -+ minimum valueSolution:494Figure 5.7Example 5.6:Consider the following set of data:4,8, 9, 10, 11, 13, 15Find the median, the first quartile, and the thirda.quartile.Draw a box-and-whisker diagram to represent theb.data.Solution:Median = 10a.First quartile = 8Third quartile 13b. The required box-and-whisker diagram is shownbelow.Wecompa:examp.Examp46.810121416Figure 5.8without affecting the meaning of the display.274 quartile, the median, the third quartile, and the maximum value of the data.A box-and-whisker diagram (also called a boxplot) is used to displayinformation of a set of data, including the minimum value, the first10 selected bottles from filling line A that we have discussed in Section 5.1.Below is a box-and-whisker diagram for the volumes of soft drink in theMore on Box-and-WhiskerDiagramsdata has asomen home to+494502Volume (mL)Figure 5.5496498500504506rel time ofThe box contains the middle 50% of the data. The median is markedtr the vertical line segment in the box. The first quartile (Q) and the thirdortile (0,) are marked by the left edge and the right edge of the box,espectively. The line segments extending from the edges of the box to theninimum value and the maximum value are called whiskers. Each whiskereights ofcontains 25% of the data.medianmaximum valueminimum value25% of data25% of data 25% of dataFigure 5.625% of dataof constructing a box-and-whisker diagram are given below:stepsTheMATH FOGUEDraw a box that reaches from the first quartile to thethird quartile on a horizontal scale.Draw a vertical line segment across the box at themedian.Step 1.Step 2.Draw a line segment from the left edge of the box tothe minimum value.Siep 3.Draw a line segment from the right edge of the box tothe maximum value.Step 4.273

Name: For Problem 8, find the first quartile, the median, and the third quar
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Description: For Problem 8, find the first quartile, the median, and the third quartile, and draw the corresponding box-and-whisker diagram. a) 1,3,5,6,8,8,10b) 9,10,16,17,21,25,25,25c)15,16,18, 22,24,30,37,39,44d)23,31,37,39,40,42,44,48,65 shown below.Note: In a