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vagabundo [1.1K]
3 years ago
7

Given the box plot, will the mean or the median provide a better description of the center?

Mathematics
2 answers:
svetlana [45]3 years ago
5 0

Answer:

Last one:

The median, because the data distribution is skewed to the right

Step-by-step explanation:

Q1: 7.5

Q2: 8

Q3: 23

Q2 - Q1 = 8 - 7.5 = 0.5

Q3 - Q2 = 23 - 8 = 15

Since Q3 - Q2 > Q2 - Q1,

data is positively (right) skewed

Skeweness occurs because of outliers therefore mean is not a suitable option. Median will provide a better description of the centre

yuradex [85]3 years ago
4 0

Answer:

The median, because the data distribution is skewed to the right

Step-by-step explanation:

If the longer part of the box is to the right (or above) the median, the data is said to be skewed right. If the longer part is to the left (or below) the median, the data is skewed left.  The data is skewed right.  The median would be a better estimate, because one or two numbers on the high end will cause the  numbers to be skewed to the right, and the mean to be high

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3 years ago
What is the length of the diagonal of the triangle?
Setler79 [48]

Answer:

21.25

Step-by-step explanation:

use the Pythagorean theorem, it is given that the shape is a rectangle so all opposite sides are congruent and all angles are right, since we know that the diagonal forms a right triangle we can use the pythagorean theorem

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7 0
4 years ago
4x + 12 = -7y<br> -y + 12 = 4x<br> Solve with elimination
statuscvo [17]
Take the second equation and flip it around so the y on the left ends up on the right and the 4x on the right ends up on the left.  This makes all negatives positive and all positives negative.   -4x   + 12  = y 

Then add the first equation to the second equation 
4x   +12   = -7y
<u>-4x   + 12  </u>=<u> y </u>   this eliminates the x's
          <u>24</u> = -<u> 6y</u>            then divide by - 6
           - 6     - 6
         - 4    = y<u>

</u>So if you know that y = negative 4, you can substitute into either equation.  I pick the second one because I am a lazy person.  
  -y  + 12  = 4 x
-(-4) + 12 = 4 x     combine your numbers<u>
</u>   <u>  16     </u> = <u>4 x  </u>      then divide by 4<u>
</u>       4      =  x
So your solution is: x = 4 and y = -4 or this is also written (4, -4)

Does that work for you?
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