Respuesta :
A; first box plot shows the correct representation
For a box plot, we have some necessary information to fill accordingly as follows from left to right
We have this as;
a) minimum value
b) Lower quartile
c) Median
d) Upper quartile
e) Maximum value
Looking at the values, we start by re-arranging the numbers as follows;
0,0,0,0,0,1,1,2,2,2,2,3,3,5,7
The minimum value is 0
The lower quartile can be calculated by using the formula below and noting the number that falls within that specific term number
We have this as;
[tex]\text{Lower quartile = }\frac{n+1}{4}\text{ = }\frac{15+1}{4}\text{ = 4}[/tex]We have the lower quartile as the 4th term on re-arrangement
The 4th term is 0 and that is the lower quartile
c) Median
The median is the middle number; we have it as the 8th term
The 8th term here is 2
d) The maximum value is the term calculated according to the formula below;
[tex]\text{Upper quartile = }\frac{3(n+1)}{4}\text{ = 12}[/tex]The 12th term here is 3
e) The maximum value is 7
So according to these values, we have the correct box plot is the first box plot
