Smart Parking Space App Presentation

Boxplot

	Data Set	75	69	84	112	74	104	81	90	94	144	79	98
	Sorted	69	74	75	79	81	84	90	94	98	104	112	144
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Median=(84+90/2=87) Q1=(75+79)/2=77 Q3=(98+104)/2=101 IQR=Q3−Q1=101−77= 24    

 Find the points that are 1.5×IQR below Q1 and 1.5×IQR above Q3  These two points are called the lowerLower inner fenceThe value in a data set that is 1.5×IQR below the first quartile. and the upper inner fencesUpper inner fenceThe value in a data set that is 1.5×IQR above the third quartile., respectively.  

1.5×IQR=1.5×24 =36 Lower inner fence = Q1−36=77−36=41 Upper inner fence = Q3+36=101+36=137  

These two values for our example are as follows: Smallest value within the two inner fences=69 Largest value within the two inner fences=112  

Draw a horizontal line and mark the income levels on it such that all the values in the given data set are covered. Above the horizontal line, draw a box with its left side at the position of the first quartile and the right side at the position of the third quartile. Inside the box, draw a vertical line at the position of the median.  

By drawing two lines, join the points of the smallest and the largest values within the two inner fences to the box. These values are 69 and 112 in this example as listed in Step 3. The two lines that join the box to these two values are called whiskers. A value that falls outside the two inner fences is shown by marking an asterisk and is called an outlier.  

Determine the smallest and the largest values in the given data set within the two inner fences.

By drawing two lines, join the points of the smallest and the largest values within the two inner fences to the box. These values are 69 and 112 in this example as listed in Step 3. The two lines that join the box to these two values are called whiskers. A value that falls outside the two inner fences is shown by marking an asterisk and is called an outlier.  

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