All categories

3 years ago

Can someone please help me find the mean absolute deviation of these numbers: 15, 17, 15, 17, 21, 23

Mathematics

1 answer:

Igoryamba3 years ago

3 0

Answer:

Step-by-step explanation:

mean absolute deviation=(|x-mean|)/number of terms.

$mean=\frac{ 15+17+15+17+21+23}{6}=\frac{108}{6} =18\\x ~ |x-mean|\\15 ~3\\17 ~ 1\\\\15 ~3\\17 ~1\\21 ~3\\23 ~5\\\sum=16\\mean~absolute~deviation=\frac{16}{6} =\frac{8}{3} =2 \frac{1}{3}$

You might be interested in

How do you find an angle in a triangle with the length of the sides?

stepan [7]

Answer:

To find the area of a triangle you multiply the base times height then divide that number by 2.

Step-by-step explanation:

Say I had a triangle who's base was 7in and the height was 12in.

Then you multiply 7 times 12=84in

Then divide 84 by 2 which would equal 42

4 0

3 years ago

Silicone implant augmentation rhinoplasty is used to correct congenital nose deformities. The success of the procedure depends o

Rus_ich [418]

<h2><u>Answer with explanation:</u></h2>

Let $\mu$ be the population mean strain in a way that conveys information about precision and reliability.

The sample mean is the best point estimate of the true population mean .

As per given , we have

Sample size : n= 12

degree of freedom : $df=12-1=11$

Sample mean : $\overline{x}=25.0$

The true average strain in a way that conveys information about precision and reliability= 25.0

sample standard deviation : s= 3.3

Significance level : $\alpha= 0.05$

Since sample population standard deviation is unknown , so we use t-test.

Critical t-value for t : $t_{\alpha/2, df}=t_{0.025, 11}=2.201$

95% Confidence interval for true average strain in a way that conveys information about precision and reliability:

$\overline{x}\pm t_{\alpha/2, df}\dfrac{s}{\sqrt{n}}$

$25.0\pm (2.201)\dfrac{3.3}{\sqrt{12}}\\\\=\approx 25.0\pm2.10\\\\=(25.0-2.10, 25.0+2.10)=(22.9,\ 27.1)$

The 95% Confidence interval for true average strain in a way that conveys information about precision and reliability: $(22.9,\ 27.1)$

We 95% confident that the true population average strain in a way that conveys information about precision and reliability lies between 22.9 and 27.1 .

4 0

4 years ago

For what values of x is x^2 +2x=24 true

JulsSmile [24]

Answer: x=4, x=-6

Step-by-step explanation:

set the equation equal to 0. solve for the x using the x method.

8 0

4 years ago

Read 2 more answers

Which equation could be used to solve for the length of XY? XY = (22) sin (41°) XY = (22) cos (41°) XY = Start Fraction 22 Over

Solnce55 [7]

Answer:

Pythagorean's theorem: a²+ b²= c²

Sines: sin A = a/c, sin B = b/c.

Cosines: cos A = b/c, cos B = a/c.

Tangents: tan A = a/b, tan B = b/a.

Step-by-step explanation:

For example, if the side a = 22 and the angle A = 41°, we can use a sine and a tangent to find the hypotenuse and the other side. Since sin A = a/c, therefore c = a/sin A = 22/sin 41. Using a calculator, this is 22/0.6561 = 33.5314. Also, tan A = a/b, so b = a/tan A = 22/tan 41 = 22/0.8693 = 25.307.

4 0

3 years ago

Read 2 more answers

Plz help this will fix my grade

Dafna1 [17]

1) 5 x -8y= -40y
2) 5 x -9 = -45

8 0

3 years ago