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3 years ago

Find the sum of deviation of all observations of the data 5, 8, 10, 15, 22 from their mean.

Mathematics

1 answer:

ivann1987 [24]3 years ago

3 0

Answer:

the sum of deviation of all observations of the data 5, 8, 10, 15, 22 from their mean. =26

Step-by-step explanation:

Mean=sum of observation/ No. of observation

={5+8+ 10+ 15 + 22}/5

=60/5=12

Sum of deviations

= |5- 12| + |8 – 12| + |10- 12| + |15- 12| + |22-12|

= 7+4+2+ 3+ 10

= 26

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WHOEVER EXPLAINS ALL THEIR WORK AND GOES THROW EAXH STEP WILL GET BRAINLEST THAT IS COMPLETELY FINISEHD. write the equation of t

neonofarm [45]

Answer:

$y = -3x+11$

Step-by-step explanation:

I accept your challenge!

First we know that a equation of the line is a linear equation, and its equation is:

$y = mx+b$

$m: \text{slope}\\b: \text{y-intercept}$

In this context, the slope, defined as the steepness of a line is characterized as the ratio of RISE (the difference in the y-coordinates, the vertical change) over the RUN (the difference in x-coordinates, the horizontal change).

$m=\frac{\text{change in y}}{\text{change in x}}=\frac{\Delta y}{\Delta x}=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

Once we know two points where the line goes through, we can get the slope, once we know the change in y and x.

I will take $(3,2)$ as Point 1 and $(4,-1)$ as Point 2.

So, $x_{1}=3 \text{ and } y_{1}=2\\x_{2}=4 \text{ and } y_{2}=-1$

$m=\frac{\text{change in y}}{\text{change in x}}=\frac{\Delta y}{\Delta x}=\frac{-1-2}{4-3}$

$m=\frac{-3}{1}=-3$

Now we have to find the y-intercept:

To do so, think about the the points given and the nearly finished equation, we can find b with those two informations.

Our currently equation of the line is:

$y = -3x+b$

Using the points, take Point 1 as an example, it says that when $x = 3, y = 2$ , so plugging it in the equation:

$2 = -3(3)+b\\2 = -9+b\\11 = b$

Taking the Point 2

$-1 = -3(4)+b\\-1 = -12+b\\11 = b$

Now we found $b$ ! The equation is complete!

$y = -3x+11$

6 0

3 years ago

Solve the problem and enter your solution for the variable below. Do not include units in your answer. A student taking a math c

Kruka [31]

Answer:

12 problems

Step-by-step explanation:

72/6 is 12.

3 0

4 years ago

Given that a*b = 2a - 3b, then 2*(-3) =<br><br><br>

belka [17]

Answer:

2*(-3)= -6

Step-by-step explanation:

I do not see how "a*b=2a-3b" would change the fact 2 times negative 3 is -6

6 0

3 years ago

CX is an altitude in triangle ABC.<br> Which statements are true? Select two options. .

Nastasia [14]

Answer:

Does the answer help you?

5 0

3 years ago

I don't get this pls help

dmitriy555 [2]

Answer:

d, e

Step-by-step explanation:

The applicable rules of exponents are ...

(a^b)(a^c) = a^(b+c)

a^-b = 1/a^b

In this case, it means the product is ...

(6^1)(6^0)(6^-3) = 6^(1+0-3) = 6^-2 = 1/6^2 = 1/36

The 6 without an exponent is equivalent to 6^1, an exponent of 1.

The sum of the exponents is -2.

Add the exponents to simplify the expression.

The value of the expression is 1/36.

An equivalent is any expression that results in 6^-2. One such is (6^5)(6^-7).

Only the last two choices, d and e, apply.

3 0

4 years ago

Find the sum of deviation of all observations of the data 5, 8, 10, 15, 22 from their mean.​

Find the sum of deviation of all observations of the data 5, 8, 10, 15, 22 from their mean.