Kayla and latasha work for a department store the amount of sales they made over the last year was collected monthly in the data  was made into a box and whisker plot for each of them
a) what is the lowest amount of sales Latasha made in one month?
b) 50% of the sales Kayla made was between what two dollar amounts?
c)Compare the spread of Kayla’s middle 50% of sales to Latasha middle 50% of sales. which person has a 50% off sales was but I’ll provide math support your answer answer?
 
      
                
     
    
    
    
    1  answer:
            
              
Based on the information  represented by the boxplot  ;
Latasha's lowest  sale amount = 50  
Kayla's median  is between  200  and 300  
Latasha has a greater spread  due to higher IQR  value  
1.) <em><u>The Lowest amount of sale made by Latasha in one month </u></em>
The minimum value  is denoted by the starting  position  of the lower whisker  on a boxplot.  
Lowest amount of sale made by Latasha = 50  
2.) <em><u>50</u></em><em><u>%</u></em><em><u> </u></em><em><u>of</u></em><em><u> </u></em><em><u>sales</u></em><em><u> </u></em><em><u>made</u></em><em><u> </u></em><em><u>by</u></em><em><u> </u></em><em><u>Kayla</u></em><em><u> </u></em><em><u>:</u></em>
50%  of sales made marks the median value  in a boxplot, it is denoted by the vertical line  in between the box. 
50% of sales made by Kayla is between  200  and 300  
With median sale value being 250 
3.) <em><u>Spread</u></em><em><u> </u></em><em><u>of</u></em><em><u> </u></em><em><u>the</u></em><em><u> </u></em><em><u>middle</u></em><em><u> </u></em><em><u>50</u></em><em><u>%</u></em><em><u> </u></em><em><u>of</u></em><em><u> </u></em><em><u>sales</u></em><em><u> </u></em><em><u>:</u></em>
The measure of spread  of the middle 50%  of a distribution on a boxplot is the Interquartile range  (IQR) of the distribution  
IQR  = Upper Quartile  (Q3) - Lower quartile (Q1) 
<u>For Latasha</u> :
Q3 = 450 (Endpoint of the box)  Q1 = 150 (starting point of the box)  
<u>For</u><u> </u><u>Kayla</u><u> </u><u>:</u><u> </u>
Q3 = 375 (Endpoint of the box)  Q1 = 100 (starting point of the box)  IQR = 375 - 100 = 275 
Since, Latasha's IQR  is greater than  Kayla's, then Latasha has a greater mid 50% spread  than Kayla.  
Learn more :brainly.com/question/24582786 
 
                                
             
         	
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