WILL GIVE BRAINLIEST!!! use the diagram to answer the 2 questions

In a data distribution, the first quartile, the median and the means are 30.8, 48.5 and 42.0 respectively. If the coefficient sk

RUDIKE [14]

Answer:

a) The third quartile Q₃ = 56.45

b) Variance $\mathbf{ \sigma^2 =2633.31}$

Step-by-step explanation:

Given that :

$Q_1$ = 30.8

Median $Q_2$ = 48.5

Mean = 42

a) The mean is less than median; thus the expression showing the coefficient of skewness is given by the formula :

$SK = \dfrac{Q_3+Q_1-2Q_2}{Q_3-Q_1}$

$-0.38 = \dfrac{Q_3+30.8-2(48.5)}{Q_3-30.8}$

$-0.38Q_3 + 11.704 = Q_3 +30.8 - 97$

$1.38Q_3 = 77.904$

Divide both sides by 1.38

$Q_3 = 56.45$

b) The objective here is to determine the approximate value of the variance;

Using the relation

$SK_p = \dfrac{Mean- (3*Median-2 *Mean) }{\sigma}$

$-0.38= \dfrac{42- (3 *48.5-2*42) }{\sigma}$

$-0.38= \dfrac{(-19.5) }{\sigma}$

$-0.38* \sigma = {(-19.5) }{}$

$\sigma =\dfrac {(-19.5) }{-0.38 }$

$\sigma =51.32$

Variance = $\sigma^2 =51.32^2$

$\mathbf{ \sigma^2 =2633.31}$

7 0

4 years ago

I need to know the area of this triangle and I would like to have an explanation because I dont know how to do it I know the for

Softa [21]

Answer:

18 square units

Step-by-step explanation:

When one side is vertical or horizontal, it is convenient to find the height from the opposite vertex to that side. It is generally an integer number of grid squares.

Here, the height is 4 -(-2) = 6. The base length is 1 -(-5) = 6. That means the area is ...

A = 1/2bh

A = 1/2(6)(6) = 18 . . . . square units

_____

<em>Alternate solution</em>

If you want to go at this the hard way, you can find the length of LK and the distance of J to that line.

The length of LK is ...

d = √((x2 -x1)^2 +(y2 -y1)^2) = √((4 -(-2))^2 +(3 -(-5))^2) = √(36 +64) = 10

The distance to line LK can be found by writing the equation of the line LK in general form:

4x -3y -7 = 0

Then the distance formula for point (x, y) is ...

d = |4x -3y -7|/√(4^2 +3^2)

d = |4(-2) -3(1) -7|/5 = |-8 -3 -7|/5 = 3.6

Using the area formula with these dimensions gives ...

A = 1/2bh = 1/2(10)(3.6) = 18 . . . . square units

5 0

2 years ago

Read 2 more answers

How do you find the height of a triangle without knowing the area

g100num [7]

Well you already know your side lengths, so you use this formula S=1/2(A+B+C). For A put in one of your side lengths, for B put one of your side lengths, and for C put one of your side lengths. After you do that solve. But your not done. Once you find out what S equals by doing the formula I just showed you, you have to do another formula which is A= S(S-A)(S-B)(S-C). Once again plug in your side lengths for A,B, and C but then plug in your S value. (Remember you already found your S value by doing the first formula I showed you). Then do the math and then you will find your answer.

5 0

3 years ago

What two numbers have a product of -54 and a sum of -3?

Aneli [31]

Answer:

-9 and 6

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

Students surveyed boys and girls separately to determine which sport was enjoyed the most. After completing the boy survey, it w

Delicious77 [7]

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5 0

4 years ago