What is the inter-quartile range of the given data set? 2 3 6

Mathematics

2 answers:

Len [333]3 years ago

8 0

The answer is 3. To find the interquartile range, all you have to do is subtract your Q3-Q1. In this case, all you do is
20-17=3

myrzilka [38]3 years ago

3 0

Answer:

Option 2 is correct. The inter-quartile range of the given data set is 3.

Step-by-step explanation:

The left end of the box in a box plot represents the first quartile and right end of the box represents the third quartile.

From the given box plot is is clear that

$Q_1=17$

$Q_3=20$

Inter-quartile range of the given data set is the difference between third quartile and first quartile.

$I.Q.R.=Q_3-Q_1$

$I.Q.R.=20-17=3$

Therefore the inter-quartile range of the given data set is 3 and option 2 is correct.

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When the solutions are going to be complex, which methods can be used to solve quadratic equations?

yKpoI14uk [10]

You could complete the square to state the vertex.
You could use the quadratic equation to find the roots (which are complex).

Try an example that will require both.

y = x^2 + 2x + 5

Step One
Get the graph. That's included below.

Step Two
Provide the steps for completing the square.
Note: we should get (-1,4)

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Step Three
Find the roots. Use the quadratic equation. Note that the graph shows us that the equation never crosses or touches the x axis. The roots are complex.

$\text{x = }\dfrac{ -b \pm \sqrt{b^{2} - 4ac } }{2a}$

a = 1
b = 2
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$\text{x = }\dfrac{ -2 \pm \sqrt{2^{2} - 4*1*5 } }{2}$
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$\text{x = }\dfrac{ -2 \pm \sqrt{-16 } }{2}$
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x = -1 +/- 2i

x1 = -1 + 2i
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