Calculate the standard deviation of the following set of numbers. Use the formula for the standard deviation (s) shown, where x represents the values, n is the number of values, and is the summation symbol, which indicates that you should add the values. S = mon-1) (* {x? - (Ex)}) values: Xı = 13,X2 = 16, x3 = 10 Do not round your answers. Step 1. Calculate the square of each data value. Step 2. Determine n times the sum of squares of the three values. 1 Step 3. Calculate the sum of the three values. Step 4. Calculate the square of the sum of the three values. ηΣ x2 = Step 3. Calculate the sum of the three values. Σx= Step 4. Calculate the square of the sum of the three values. Step 5. Calculate the variance. (n-1) (»« - (Ex)")= Step 6. Calculate the standard deviation. 1 nin – 1) (»Ex2 - (2 x)") =

Answers

Answer 1

The standard deviation is 3.

What is standard deviation?

Standard Deviation is a measure which shows how much variation (such as spread, dispersion, spread,) from the mean exists. The standard deviation indicates a “typical” deviation from the mean. It is a popular measure of variability because it returns to the original units of measure of the data set.

Given, formula for the standard deviation

s = √[1/n(n-1)](n∑x²-(∑x)²)

values: x₁ = 13, x₂ = 16, x₃ = 10

step1: Calculate the square of each data value.

x₁² = 13² = 169

x₂² = 16² = 256

x₃²= 10² = 100

step2: Determine n times the sum of squares of the three values.

n∑x² = n(x₁²+x₂²+x₃²)

=3(169+256+100) = 1575

step3: Calculate the sum of the three values.

∑x = x₁+x₂+x₃

= 13+16+10 =39

step4: Calculate the square of the sum of the three values.

(∑x)² = 1521

step5: Calculate the variance.

[1/n(n-1)](n∑x²-(∑x)²)

=[1/3(3-1)](1575-1521)

=54/6

=9

step6: Calculate the standard deviation.

√[1/n(n-1)](n∑x²-(∑x)²)

= √9

=3

Hence, The standard deviation using the given formula for x₁=13, x₂=16 and x₃=10 is 3.

Learn more about standard deviation here:

https://brainly.com/question/23907081

#SPJ4


Related Questions

giving out brainliest answer !!!! help me out asap please !!!!

Answers

Answer:

Not 100% sure, but its either 28 or 90, Sorry if i messed you up.

Step-by-step explanation:

Answer:

28

Step-by-step explanation:

SOH-CAH-TOA

I used this and chose 2 sides, I chose 15 and 8, ill show you with a pic...

I then put it in the calculator and then got my answer rounded it and I added 90+62= 152    180-152= 28 degrees

If this doesnt make sense tell me Ill try to explain it better.    

Please help I’ll mark you as brainliest if correct!

Answers

Answer:

oh, easy it’s 25:)

Step-by-step explanation:


1) When Samuel goes to school, he has to walk 480 yards east of his house and then 360 yards south to arrive to his school. How far does he have to walk to get to school from his house? If he decides that he will cut his distance by going across a park directly from his house to school how far will he have to walk? By how much is it shorter to go across the park then going around the park?

In your picture, you should have the house, the school, the path from the house to school around the park and path from the house to school across the park. Label the path around the park with their values. Label the path across the park with a variable. The path across the park and the path around the park form a right triangle with the right angle between the two parts of the path around the park. Label the right angle. Since the paths form a right triangle, you can use Pythagorean theorem to find the distance from the house to school across the park. The general Pythagorean formula is a2 + b2 = c2 where a and b represent the legs and c represents the hypotenuse.

Once you find the distance, find out the total distance Samuel has to travel around the park. Then you will be able to find out by how much farther it to go around the park.


2) A 100 feet tower needs an anchor line. For the tower to be stable, the anchor line has to be attached to the top of the tower with its other end on the ground 32 feet from the tower. How long has to be the anchor line for the tower to be stable?

Sketch the picture of the tower, the anchor line and the distance from the tower. You will form a right triangle with the right angle between the tower and the ground. Label the height of the tower and the distance from the tower. Label the length of the anchor line with a variable. Label the right angle. Again, you will use the Pythagorean formula. Follow the same procedures related to working with Pythagorean formula as you did in question 1.


3) You want to buy a new tv. In a store, you see a tv that you like with a diagonal of 20 inches and length of 16 inches. Will this tv fit on a shelf that is 13 inches high?

Sketch the picture of the frame of the tv. Draw the diagonal of the tv. Label the diagonal and the length of the tv. To find out if the tv fits on the shelf, you will have to find the height of the tv. The diagonal of the tv and its length and height form a right triangle with the right angle between the length and the height of the tv. Label the right angle. Again, you will use the Pythagorean formula. Follow the same procedures related to working with Pythagorean formula as you did in question 1. Once you find the height of the tv, explain whether it will fit on the shelf or not and why.

Answers

Answer:

3 i think??

Step-by-step explanation:

PLS HELP TIMEDDDDDD I NEED HELP

Answers

Answer:

Option 3:  81 pi cu. in

Step-by-step explanation:

The diagonal of the screen of a laptop computer is 19 inches. The width of the screen is 17 inches. What is the helght of the computer screen in inches?​

Answers

Answer:

Height of computer screen in inches = 8.48 inches (Approx.)

Step-by-step explanation:

Given:

Diagonal of screen of laptop computer = 19 inches

Width of screen of laptop = 17 inches

Find:

Height of computer screen in inches

Computation:

Screen diagonal, width and height makes a right angle triangle

So,

Using Pythagoras theorem;

Perpendicular = √Hypoteneus² - Base²

Height of computer screen in inches = √(Diagonal of screen of laptop computer)² - (Width of screen of laptop)²

Height of computer screen in inches = √(19)² - (17)²

Height of computer screen in inches = √361 - 289

Height of computer screen in inches = 8.48 inches (Approx.)

EASY MATH QUESTION

the original price of a soccer ball is $25.00. if the soccer ball is discounted 25%, what is the new price?

Answers

Answer:

18.75 is the new price

I need this today plz help

Answers

Answer:

the answer is either A or C

Step-by-step explanation:

I'm not sure if it's going from Triangle O to Triangle N

Or if its going from Triangle N to  O

i think it is choice


C
answer explanation:;
is c

Need the answer for x and y

Answers

Answer:

x = 5°

y = 4°

Step-by-step explanation:

21x + 75 = 180

21x = 105

x = 5°

25y + 5 + 75 = 180

25y = 100

y = 4

Find the value of x. Round to the
nearest tenth.
х
12
4
X =
= [ ? ]

Answers

Use cosine trigonometric relation.

[tex] Cos~x=\frac{Adjacent} {Hypotenuse} \\\\ \to cos~x=\frac{4}{12} \\\\ \to cos~x= \frac{1}{3} \\\\ x=arccos(\frac{1}{3})\\\\ x \approx 70°[/tex]

Answer:

70.5

Step-by-step explanation:

We use cosine (adjacent over the hypotenuse) to calculate this:-)

A mirror has a parabolic surface defined by the equation y =¹⁄₂₄ x² with the vertex (0, 0) at the center of the mirror. When the width of the mirror is 8 inches, what is the depth, y, of the mirror?
A.) ¹⁄₃₆ in.
B.) ⅙ in.
C.) ⅔ in.
D.) 2⅔ in.

Answers

Answer:

ITS C: 2/3 in.

Step-by-step explanation:

edg 21 ^u^

PLEASE HELP QUICK I NEED IT TO PASS TIMES ALMOST UP PLEASE HELP I WILL GIVE BRAINLIEST Write 5-8 sentences telling the story of this play. Use your Imagination, tell the story of the picture

Answers

Answer:

Maybe write a quick story on a group of adventurers who met at a mansion party to wait for an ancient map to arrive.

I can’t believe this is where I would end up: pretending to be a dog in an improv club. I glanced at Arnold. “You’re doing great. She’s gotta recognize you now!” he whispered, kneeling next to me. I sneak a glance towards the top of the staircase. “Such a lovely sight. A woman in red.” I thought. “Thomas! Thomas, come here!” I hear my name called from above. I smiled to myself, “Success.”

It’s probably a little bit more than 8 sentences and is not the greatest but is something

What is the length of FG?
(Picture of Question Below!)

A. 1.2
B. 3
C. 3.6
D. 4 ( IT IS NOT D!)
E. 6

Answers

9514 1404 393

Answer:

  C.  3.6

Step-by-step explanation:

AC = FA + FC = 4+6 = 10

AC is the hypotenuse of right triangle ABC, which has leg BC = 8. Then the length of AB is given by the Pythagorean theorem as ...

  AB² +BC² = AC²

  AB = √(10² -8²) = 6

The side lengths of these similar triangles are proportional, so you have ...

  FG/FC = AB/AC

  FG = FC(AB/AC) = 6(6/10)

  FG = 3.6

Will give brainliest

Find the lateral surface area of
the following cylinder:
3 cm
3 cm
LSA = [ ? ]i cm2
Leave your answer in terms of ri.
Enter the number that goes in the green box.

Answers

Answer:

18

Step-by-step explanation:

Given,

Radius of the cylinder = 3cm

Height of the cylinder = 3cm

Therefore,

Lateral surface area of the cylinder

[tex] = 2\pi rh[/tex]

[tex] = 2\pi \times 3 \times 3 {cm}^{2} [/tex]

[tex] = 2\pi \times 9 {cm}^{2} [/tex]

[tex] = 18\pi {cm}^{2} [/tex]

Hence,

The required value in the green box will be 18 (Ans)

Answer:

18 pi

Step-by-step explanation:

hop this helps

is this a function? please explain if possible...​

Answers

It is a function. Every x value is different.

Please help me I'm really struggling.

Answers

Answer:

eight chairs.

Step-by-step explanation:

five quarts= 40/8 quarts

one chair= 5/8 quarts

40/8-5/8x=0

(-40/8)/(-5/8)=x

eight chairs

From the choices provided, select all the questions that represent statistical questions,
A What was the temperature at 5:00p.m. today in Boston?
B How many pieces of fruit were used to make Shawn's smoothie today?
How many states are there?
D What types of food do students in your school bring for lunch each day?
E How many books did each student check out at the library last year?

Answers

Answer:

all exept c i think

Solve the system of equations.

15x + 31y = -3

X = -y + 3

Answers

Answer:

its (6,-3)

Step-by-step explanation:

Look at steps below

3
An animal shelter spends $2.35 per day to care for each cat and $5.50 per day to
each dog. Pat noticed that the shelter spent $89.50 caring for cats and dogs on W
Pat found a record showing that there were a total of 22 cats and dogs at the she
Wednesday. How many cats were at the shelter on Wednesday?
22.
I’m

Answers

Answer:

10 cats were at the shelter on wednesday

Step-by-step explanation:

if <a is 89.5, what is the measure of its complementary angle?​

Answers

Answer:

The complement of an angle is what, when added to it, equals 90 degrees (90°). For example, in your problem, 90°-85°=5°. This means that the complement of 85° is 5°, since they add up to equal 90 degrees a right angle.

The supplement of an angle is what, when added to it, equals 180 degrees.

For example, in your problem, 180°-85°=95°. This means that the supplement of 85° is 95°, since they add up to equal 180 degrees a straight angle.

find the probability that a point chosen at random on the segment satisfies the inequality
11 & 13 please!

Answers

Answer:n h hbuy n  gb78

Put the verbs in brackets into
the to-infinitive or -ing form.
How do they differ in
meaning? Check in the
Grammar Reference section.
1
a Diane has stopped eating
(eat) in between meals.
(she no longer does it)
b The runner stopped to have
(have) a rest after training
for many hours. (stopped to
do sth and then continued
what he was doing)
2 a Aaron forgot
(take) his vitamins.
b Forget about
(go)
to the gym. I need you.
3 a Daniel remembers
(meet) his sports idol
when he was younger.
b Andy didn't remember
.... (buy) tickets
for the match.
4 a I will try
(think) more positively
from now on.
b Ellen tried .............. (diet)
and lost several kilos.
5 a She used
(play) volleyball when she
was in high school.
b He is used
(exercise) at the weekends.
.​

Answers

Answer:

i hope u have a good day

Step-by-step explanation:

Complete the equation using an area model 6 3/4 x 3 2/5=

Answers

Answer:

22.95

Step-by-step explanation:

Please someone help me with this!!!

Find the indicated term of the given geometric sequence.

a1 = –5, r = 5, n = 5

Answers

Answer:

a₅ = -3125

Step-by-step explanation:

Given that,

a₁ = -5, r = 5 and n = 5

The geometric sequence is given by :

[tex]a_n=a_1\cdot r^{n-1}[/tex]

Put all the values,

[tex]a_5=-5\times 5^{5-1}\\\\=-5\times 5^4\\\\=-3125[/tex]

So, the fifth term is equal to -3125.

Please explain how you find the slope of a graph? Please explain with photos.

Answers

☁️ Answer ☁️

Here's what I found:

Identify the coordinates (x₁,y₁)and(x₂,y₂). We will use the formula to calculate the slope of the line passing through the points (3,8) and (-2, 10).

Input the values into the formula. This gives us (10 - 8)/(-2 - 3).

Subtract the values in parentheses to get 2/(-5).

Simplify the fraction to get the slope of -2/5.

Check your result using the slope calculator.

To find the slope of a line we need two coordinates on the line. Any two coordinates will suffice. We are basically measuring the amount of change of the y-coordinate, often known as the rise, divided by the change of the x-coordinate, known the the run. The calculations in finding the slope are simple and involves nothing more than basic subtraction and division.

Here's the link:

https://www.omnicalculator.com/math/slope#:~:text=How%20to%20find%20slope%201%20Identify%20the%20coordinates,5%20Check%20your%20result%20using%20the%20slope%20calculator.

Here's a video to help you: https://m.you tube.com/watch?v=wvzBH46D6ho

(Just remove the space)

Hope it helps.

Have a nice day noona/hyung.

Answer:

Well I‘ll try verbal explanation, if you still don’t understand, jsut leave a comment and Ill put some images up.

Step-by-step explanation:

Alright so in order to find a slop of a graph theres a rise and run feature for every plot on the point thats exactly on a number.

The rise is going up, the run is going right.

So in order to find the slope of a semi easy graph, start by looking for a point plotted on the line thats exact and you have to rise first untill you see another plot and then run to that point, The amount of times you raised is your numerator and the amount ran is the denominator.

For hard graphs locate 2 points that are exact.

Then you follow the equation for every slope which is

(y2-y1 / x2-x1)

So for example you have the points (1,2) and (3,6)

y1= The first y coordinate given (the first part of the pair)

y2= The second y-coordinate given (the second part of the second pair)

x1= The first x coordinates given

x2= the second x coordinate given

so if we use the previous example stated above (1,2) and (3,6)

y1= 2

y2= 6

x1= 1

x2=3

Now use the formula (y2-y1 / x2-x1)

Subsitute

6-2 / 3-1

4/2

the slope would be 2.

This formula works for every 2 points given.

Simplify the expression.

4y + 3( y+1) + 2 (x + 5)

Answers

Answer:

4y + 5x + 13

Step-by-step explanation:

4y + 3(y + 1) + 2(x+5)

Distribute

4y + 3y + (3 x 1) + 2x + (2 x 5)

4y + 3y + 3 + 2x + 10

Combine like terms

4y + 5x + 13

PLS HELP WILL GIVE BRAINLIEST

Answers

Answer:

32 percent

Step-by-step explanation:

8,000×400÷100

ILL GIVE BRAINLEST, find the value of x

Answers

Answer:

x=90 degrees

Step-by-step explanation:

It is a right corner. Please give branliest

Someone please help

Answers

Answer:

m= -1

Step-by-step explanation:

please help me ASAP!!!​

Answers

Answer: 8

Because 8 - 11 = -3

Hope it helps.

Answer:

add a positive 8

Step-by-step explanation:

if you add a positive 8 so you will minus by 8 and you get -3 cause negative -11 is bigger then positive +8

Find the value of x
Please help

Answers

The answer will be (B) -9 because since the angles are equal, the two sides must be equal also.
Therefore
x+16=7
And then
x= 7-16
x=-9

Answer:

b

Step-by-step explanation:

subtract 9 from 16

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