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EastWind [94]
3 years ago
11

Determine the IQR of this data set. Then indicate whether the data set contains any outliers. Explain how you determined this.

Mathematics
1 answer:
viktelen [127]3 years ago
6 0

Answer:

The IQR of the data set is 4.5

Step-by-step explanation:

Given:

10 13 15 12 12 4 12 17

12 13 15 18 10 11 20 19

Now, to determine the IQR (interquartile range) of this data set.

So, <em>we need to set the data in numerical orders:</em>

4 10 10 11 12 12 12 12

13 13 15 15 17 18 19 20

Now,<em> we split this in half and get the medians of both half:</em>

<u>4 10 10 11 12 12 12 12 </u>      Median 1 = 11.5

<u>13 13 15 15 17 18 19 20 </u>   Median 2 = 16

Getting the medians of both half now we subtract the median 1 from median 2:

IQR = 16 - 11.5

IQR = 4.5.

Therefore, the IQR of the data set is 4.5

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Step-by-step explanation:

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Mademuasel [1]
The correct answer is:  [B]:  "40 yd² " .
_____________________________________________________
First, find the area of the triangle:

The formula of the area of a triangle, "A":

A = (1/2) * b * h ; 

in which:  " A = area (in units 'squared') ;  in our case, " yd² " ; 

                 " b = base length" = 6 yd.  

                 " h = perpendicular height" = "(4 yd + 4 yd)" = 8 yd.
___________________________________________________
→  A = (1/2) * b * h = (1/2) * (6 yd) * (8 yd) = (1/2) * (6) * (8) * (yd²) ; 
                                                                 
                                                                   =  " 24 yd² " .
___________________________________________________
Now, find the area, "A", of the square:

The formula for the area, "A" of a square:

   A = s² ;

in which:  "A = area (in "units squared") ; in our case, " yd² " ;
                 
                 "s = side length (since a 'square' has all FOUR (4) equal side lengths);

 A = s²  = (4 yd)² = 4² * yd² =  "16 yd² "
_________________________________________________
Now, we add the areas of BOTH the triangle AND the square:
_________________________________________________
        →  " 24 yd²  +  16 yd² " ; 

to get:  " 40 yd² " ;  which is:  Answer choice:  [B]:  " 40 yd² " .
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