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brilliants [131]
3 years ago
5

Calculate the standard deviation of the data set below. (7, 9, 10, 11, 13)

Mathematics
2 answers:
Zielflug [23.3K]3 years ago
8 0
<h2>Answer:</h2>

The standard deviation of the data set is:

                      2

<h2>Step-by-step explanation:</h2>

We are given a set of data points as:

x=  7   9   10    11    13

Now on firstly finding the mean of these data points we have:

Mean(x')=\dfrac{7+9+10+11+13}{5}\\\\\\Mean(x')=\dfrac{50}{5}=10

Now,

 x             x-x'             (x-x')²

 7           7-10=-3           9

 9           9-10=-1            1

10          10-10=0           0

11            11-10=1             1

13           13-10=3           9      

∑(x-x')²=20

Now, mean of  ∑(x-x')² gives us the variance of the data.

Variance=∑(x-x')²/5=20/5=4

Now, we know that standard deviation is the square root of variance.

Hence,

Standard deviation=√4=2

Reil [10]3 years ago
5 0
I think it's 2.2. I apologize if it's incorrect
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Twice the difference of a number and 9 is equal to three times the sum of the number and 6. Find the number
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After modelling the mathematical statement and solving its equivalent mathematical relation, we get x = -36.

<h3>What is Equation Modelling?</h3>

Equation modelling is the process of writing a given mathematical statement in the form of a numeric mathematical expression taking into considerations the operations, constants and other variables.

Given in the question is a number such that twice the difference of a number and 9 is equal to three times the sum of the number and 6.

Assume that the number is x. Now, we will model the equation and solve for x. According to the question, the following mathematical relation represents the statement-

2(x - 9) = 3(x + 6)

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B is the midpoint of segment AC; AB = 8v, and AC = 2v + 42. What is BC?
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In parallelogram LMNO, what is the measure of angle N?<br><br> 50°<br> 70°<br> 110°<br> 130°
belka [17]

we know that

In a parallelogram opposite angles are congruent and consecutive angles are supplementary.

So

m∠O=m∠M

m∠L=m∠N

m∠O+m∠L=180

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Find the value of x

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the answer is

the measure of the angle N is equal to 110\ degrees





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