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2 years ago

Find the median of this data set. 3,35,23,37,45,5,49,27,48

Mathematics

2 answers:

Anestetic [448]2 years ago

6 0

Arrange in ascending order:-

3, 5, 23, 27, 35, 37, 45, 48, 49

There are 9 values so the median = middle 5th value

= 35 Answer

Verdich [7]2 years ago

5 0

Answer:

the median of this set is 35

Step-by-step explanation:

first you have to put all the numbers in order like this-

3, 5, 23, 27, 35, 37, 45, 48, 49

then you find the middle number which is 35

So the Median is - 35

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2 years ago

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MA_775_DIABLO [31]

The solution depends on the value of $k$ . To make things simple, assume $k>0$ . The homogeneous part of the equation is

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$r^2-16k=0\implies r=\pm4\sqrt k$

which admits the characteristic solution $y_c=C_1e^{-4\sqrt kx}+C_2e^{4\sqrt kx}$ .

For the solution to the nonhomogeneous equation, a reasonable guess for the particular solution might be $y_p=ae^{4x}+be^x$ . Then

$\dfrac{\mathrm d^2y_p}{\mathrm dx^2}=16ae^{4x}+be^x$

So you have

$16ae^{4x}+be^x-16k(ae^{4x}+be^x)=9.6e^{4x}+30e^x$
$(16a-16ka)e^{4x}+(b-16kb)e^x=9.6e^{4x}+30e^x$

This means

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$b(1-16k)=30\implies b=\dfrac{30}{1-16k}$

and so the general solution would be

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2 years ago