All categories

3 years ago

What is the standard deviation of the data set? 7, 3, 4, 2, 5, 6, 9 Round the answer to the tenths place.

Mathematics

2 answers:

Ainat [17]3 years ago

3 0

The standard deviation would be A. 2.4

Stels [109]3 years ago

3 0

Answer:

The correct option is A.

Step-by-step explanation:

The given data is

7, 3, 4, 2, 5, 6, 9

The mean of the data is

$\bar{x}=\frac{\sum{x}}{n}=\frac{36}{7}=5.142857$

The standard deviation of the data is

$\sigma=\sqrt{\frac{\sum{(x-\bar{x})^2}}{n-1}$

Using the below table put the values in the above formula,

$\sigma=\sqrt{\frac{34.85714}{7-1}$

$\sigma=\sqrt{5.80952381}$

$\sigma=2.410295378$

$\sigma\approx 2.4$

Therefore the correct option is A.

You might be interested in

PLEASE SHOW WORK AND HELP EXPLAIN: 12.42 divided by 4.6

Anni [7]

Answer:

12.42 = 1242 / 100;

4.6 = 46 / 10;

12.42 ÷ 4.6 = (1242 / 100) ÷ (46 / 10 ) = (1242 / 100) x (10 / 46 ) = ( 1242 / 46 ) x ( 100 / 10 ) = 27 x 10 = 270;

Step-by-step explanation:

7 0

3 years ago

Factor pairs for 18 and

Solnce55 [7]

3,3,2 these are the primes of 18

4 0

3 years ago

Fine the sum of 2/9+3/5

Arturiano [62]

Answer:

0.82

اولويات الضرب و القسمه

6 0

2 years ago

What is the quadratic regression equation for the data set? <br><br> PLEASEE HELP ME

Soloha48 [4]

You're trying to find constants $a_0,a_1,a_2$ such that $\hat y=a_0+a_1\hat x+a_2{\hat x}^2$ . Equivalently, you're looking for the least-square solution to the following matrix equation.

$\underbrace{\begin{bmatrix}1&6&6^2\\1&3&3^2\\\vdots&\vdots&\vdots\\1&9&9^2\end{bmatrix}}_{\mathbf A}\underbrace{\begin{bmatrix}a_0\\a_1\\a_2\end{bmatrix}}_{\mathbf x}=\underbrace{\begin{bmatrix}100\\110\\\vdots\\70\end{bmatrix}}_{\mathbf b}$

To solve $\mathbf{Ax}=\mathbf b$ , multiply both sides by the transpose of $\mathbf A$ , which introduces an invertible square matrix on the LHS.

$\mathbf{Ax}=\mathbf b\implies\mathbf A^\top\mathbf{Ax}=\mathbf A^\top\mathbf b\implies\mathbf x=(\mathbf A^\top\mathbf A)^{-1}\mathbf A^\top\mathbf b$

Computing this, you'd find that

$\mathbf x=\begin{bmatrix}a_0\\a_1\\a_2\end{bmatrix}\approx\begin{bmatrix}121.119\\-3.786\\-0.175\end{bmatrix}$

which means the first choice is correct.

8 0

3 years ago

A graph is shown below:

Charra [1.4K]

Answer:

The correct answer is actually B. x - 3y < 5

Step-by-step explanation:

Because you must convert the equation to y-intercept form first.

Which makes it y = 1/3x - 1.6

So y = 1.6 and using the slope of 1/3x you can find that x = 5

3 0

3 years ago