Calculate the median for 5,10,12,4,6,11,13,5 show steps

2 answers:

7 0

First, put the numbers in numerical order from 4-13.
4,5,5,6,10,11,12,13
Then, the number that is in the middle will be the answer, which is 6 and 10. Then, you need to find the mean of these two numbers. To find the mean, add 6 and 10, then divide by two. The answer is then 8.

ruslelena [56]3 years ago

4 0

To find the median, you first need to put all the numbers in order like this:

4,5,5,6,10,11,12,13

Then you need to count up how many numbers there are. There are 8 numbers total here. Since this is an even number there is going to be two medians. So find the middle and the answer will be... median= 6 and 10

Hope this helps :)

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ivanzaharov [21]

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4 + 6 = 10

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4 0

3 years ago

Differentiating a Logarithmic Function in Exercise, find the derivative of the function. See Examples 1, 2, 3, and 4.

adoni [48]

Answer: The required derivative is $\dfrac{8x^2+18x+9}{x(2x+3)^2}$

Step-by-step explanation:

Since we have given that

$y=\ln[x(2x+3)^2]$

Differentiating log function w.r.t. x, we get that

$\dfrac{dy}{dx}=\dfrac{1}{[x(2x+3)^2]}\times [x'(2x+3)^2+(2x+3)^2'x]\\\\\dfrac{dy}{dx}=\dfrac{1}{[x(2x+3)^2]}\times [(2x+3)^2+2x(2x+3)]\\\\\dfrac{dy}{dx}=\dfrac{4x^2+9+12x+4x^2+6x}{x(2x+3)^2}\\\\\dfrac{dy}{dx}=\dfrac{8x^2+18x+9}{x(2x+3)^2}$