What is the standard deviation of 1 2 3 4 5?

Answers

Answer 1

The standard deviation of

{1,2,3,4,5}=[52−112]12

=√2

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.

Like the variance, if the data points are close to the mean, there is a small variation whereas the data points are highly spread out from the mean, then it has a high variance.

Standard deviation calculates the extent to which the values differ from the average. Standard Deviation, the most widely used measure of dispersion, is based on all values.

Therefore a change in even one value affects the value of standard deviation. It is independent of origin but not of scale.

It is also useful in certain advanced statistical problems.

Let's develop a general formula then as a particular you get standard deviation of

1,2,3,4 and 5

If we have

{1,2,3,....,n}

and we need to find the standard deviation of this numbers.

Note that

Var(X)=1nn∑i=1 x2i−(1nn∑i=1xi)2

⇒Var(X)=1nn∑i=1i2−(1nn∑i=1 i)2

⇒Var(X)=1n⋅n(n+1)(2n+1)6−(1n⋅n(n+1)2)2

⇒Var(X)=(n+1)(2+1)6−(n+12)2

⇒Var(X)=n+12[2n+13−n+12]

⇒Var(X)=n+12⋅n−16

⇒Var(X)=n2−112

So, Standard deviation of

{1,2,3,....,n}

is

[Var(X)]12=[n2−112]12

In particular, your case the standard deviation of

{1,2,3,4,5}

=[52−112]12=√2.

To know more about standard deviation visit brainly.com/question/23907081

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Related Questions

We have two fractions, \dfrac{2}{5} 5 2 ​ start fraction, 2, divided by, 5, end fraction and \dfrac{3}{10} 10 3 ​ start fraction, 3, divided by, 10, end fraction, and we want to rewrite them so that they have a common denominator (and whole number numerators). What numbers could we use for the denominator? Choose 2 answers: Choose 2 answers: (Choice A) A 10 (Choice B) B 5 (Choice C) C 20 (Choice D) D 15

Answers

Answer:

(Choice A) A 10

(Choice C) C 20

Step-by-step explanation:

Fraction 1: 2/5

Fraction 2: 3/10

rewrite them so that they have a common denominator (and whole number numerators

For both fractions to have a common denominator, find the lowest common multiple of both denominators

5 = 5, 10, 15, 20, 25, 30, 35, 40

10 = 10, 20, 30, 40

The two lowest common multiple of 5 an 10 is 10 and 20

Therefore, the answer is

(Choice A) A 10

(Choice C) C 20

Answer:

10,20

Step-by-step explanation:

got it right un khan! trust me! :D

Which triangle is a right isosceles triangle?

Answers

Answer:

A is the correct answer

Step-by-step explanation:

Hope that helps

Factor the expression using the GCF. 6x + 42

Answers

Answer: 6x + 42 +=78

.

Step-by-step explanation:

The factor of the given expression is x +7.

What is GCF in mathematics?

The "greatest common factor" is referred to as the GCF. The biggest number that is a factor of two or more numbers is known as the GCF.

Given an expression 6x + 42 = 0. for factorization take 6 commons from both sides.

6(x  + 7 ) = 0

x + 7 = 0

Therefore (x + 7) is the factor of the given equation

Learn more about factor here:

https://brainly.com/question/14209188

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The height of a falling pinecone can be represented by y = -16° +64 where t is the time in seconds
and y is the height of the pinecone in feet. Write and solve an equation to find the number of seconds it
will take for the pinecone to reach the ground.
A. 4 seconds
B. 6 seconds
C. 2 seconds
D. 1.5 seconds

Answers

Answer:

4 Seconds

Step-by-step explanation:

Let's say the height of the ground is set at y = 0.

Then, since 16 times 4 is 64, we substitute 4 for x.

But wait! x is being squared!

So we need to find out what squared is 4. It's 2.

So, with x being equal to two, y is equal to 0.

But what is the number of seconds? We actually got it first.

That means that the answer is 4.

The pinecone takes 4 seconds to reach the ground.

Solve for x, please help me thank you

Answers

Answer:

x = 72°

Step-by-step explanation:

Since the triangle has 2 congruent sides then it is isosceles and the 2 base angles are congruent , both 54° , then

x = 180° - (54 + 54)° = 180° - 108° = 72°

On a grid, Label Hours Studying on x axis and Test Scores on y axis. The title of the graph is Test Scores and Hours Studying. The scale on the x axis shows the numbers from 0 to 10 at increments of 1, and the scale on the y axis shows numbers from 0 to 100 at increments of 10. Dots are made at the ordered pairs 1.1, 10 and 2, 25 and 3.1, 10.1 and 4, 30 and 4, 45 and 5, 45 and 6, 25 and 6.5, 60 and 7, 45 and 7.5, 50 and 7.5, 75 and 8, 60 and 8.5, 75 and 9, 60. The ordered pair 1, 100 is circled and labeled as M. All the other points are put in an oval and labeled as N.

Answers

Answer:

what do you mean and the answer is 1,102

Step-by-step explanation:

Find the measure of angle x in the figure below:



1)

35°

2)

48°

3)

69°

4)

78°

Answers

Answer:

x is 48°

Step-by-step explanation:

look at picture ......

A mother bear and her cub catch fish from a river . The mother bear catch 10 fish the mother bear catch 5 times as many

Answers

Answer:

This doesn't make sense.

Step-by-step explanation:

If the question was "A mother bear and her cub catch fish from a river. The cub catches 10 fish and the mother bear catches 5 times as many as the cub. How many fish did the cub catch?" then the answer would be, The mother bear caught 50 fish.

This is because if the cub caught 10, and the mother caught 5 times that amount, the mother caught 5 x 10 fish. 5 x 10 = 50.

if 1/2p=2 1/2q, find q:p

its 2 and a half not 21/2

Answers

Answer:

1/5 = q/p, or q:p

Step-by-step explanation:

You might want to rewrite 1/2p=2 1/2q as (1/2)p = (2 1/2)q.  

To remove the fractions, multiply both sides by 2:

p = 2(2 1/2)q  becomes p = 5q.

Dividing both sides by 5 yields p/5 = q.

Dividing both sides by p yields 1/5 = q/p, or q:p

3) The start-up cost to join Tunes is $7.95 plus $0.95 per song downloaded. If Will spent $26, write and solve a linear equation to find how many songs he downloaded​

Answers

Answer:

X = 19 songs

Step-by-step explanation:

Y = 0.95x + 7.95

26 = 0.95x + 7.95

Solve for x

26-7.95 =0.95x

18.05/0.95 = x

X = 19 songs

The mean numberr of stereos sold per day at the store was 15 over a period of 7 days which statement must be true about the stereo sales at the store

Answers

Answer:

well I don't know the options, but I do know that 105 would have been sold in a week.

Step-by-step explanation:

15 x 7 = 105

200 tickets were sold in a school’s annual musical performance. Students' tickets cost $2.50 each and parents tickets cost $3.50 each. The total amount collected was $537. How many tickets were sold for parents?

Answers

Answer:

Step-by-step explanation:

 

number of students ticket sold = x

number of parent tickets sold = y

 

If a total of 96 tickets were sold

x+ y =96     ----      eq 1

 

 

If a total of 96 tickets were sold for $306.25

2.50x + 3.75y=306.25  ---- eq 2

 

x+ y =96

y=96-x

 

substitute value of y in equation 2

2.50x + 3.75 (96-x)=306.25

 

2.50x + 360 -3.75x =306.25

 

- 1.25 x = -53.75

 

x = 43

therefore the answer would be y=96-x=96-43=53

Find the value of x to the nearest tenth

Answers

Answer:

X = 7.24 or 7.2

Step-by-step explanation:

Tan46/1 = x/7

Cross multiply to get this outcome:

7tan(46)

Put into calculator

Then your answer will be X = 7.24 or 7.2

Hope that helps :)

Can someone help me with this. Will Mark brainliest.

Answers

Answer:

no.

Step-by-step explanation:

since 2 of the sides are much longer than the shorter sides, diagonals of a rectangle will not intersect at a right angle (perpendicular) whereas a square, with all sides equal, would. This is because the distance from the center to each of the corners is the same for each corner.

a rectangle has an area of 446.4 miles and a base of 18 miles what is the height

Answers

Answer:

24.8

Step-by-step explanation:

To answer this we must divide 446.4 by 18 and we get 24.8

(っ◔◡◔)っ ♥ Hope It Helps ♥

the logarithm is the ____ of a specified base

Please i need help!!!!!

Answers

Answer:

Function

Step-by-step explanation:

Select the correct answer.
х
0
1
2
3
4
у
6
8
14
24
38
Choose...
function
This function is best modeled by a(n)

Answers

I’m pretty sure it’s linear!

Jamal went to the post office to buy stamps and large envelopes. Each stamp costs the same amount, and each large envelope costs the same amount. The first customer paid $13.25 for 14 stamps and 5 large envelopes.The second customer paid $23.75 for 10 stamps and 15 large envelopes. What was the cost in dollars of each large envelope?

Answers

Answer:

Step-by-step explanation:

i chose .95 cents!

волаооыововыл? фвдвфдаг.
(\_/)
( •_•)
/ >(\_/)
( •_•)
/ >(\_/)
( •_•)
/ >(\_/)
( •_•)
/ > ​

Answers

Answer:

\(◎o◎)/

♪~(´ε` ) ╮(. ❛ ᴗ ❛.)╭

волаооыововыл? фвдвфдаг.
(\_/)
( •_•)
/ >(\_/)

if the ratio of milk and water in 45 litre is 7:2. if 4 litre water is added what will be the new ratio.​

Answers

Answer:

5 : 2

Step-by-step explanation:

sum the parts of the ratio, 7 + 2 = 9 parts

Divide the quantity by 9 to find the value of one part of the ratio

45 litres ÷ 9 = 5 litres ← value of 1 part of the ratio , then

7 parts = 7 × 5 = 35 litres

2 parts = 2 × 5 = 10 litres

In 45 litres there is 35 litres of milk and 10 litres of water

Adding 4 litres of water gives

35 : 14 = 5 : 2

Elijah is going to invest in an account paying an interest rate of 5.5% compounded continuously. How much would Elijah need to invest, to the nearest hundred dollars, for the value of the account to reach $1,400 in 16 years?

Answers

Answer:

600

Step-by-step explanation:

yw

I had trouble plotting the midpoint lol but can someone plz help me :c​

Answers

midpoint is (-1 and -1.5)

Answer:

Step-by-step explanation:

midpoint rule is    x2+x1 / 2  , y2+y1 / 2

where point one is P1 = (x1,y1) = (4,3)

and point two is P2 = (x2,y2) = -6,-6

for x   then,  -6+4 / 2 = -2 / 2   =  - 1

for y then,  -6+3 / 2 = -3 / 2  =  - [tex]\frac{3}{2}[/tex]

mid point is  ( -1 ,  - [tex]\frac{3}{2}[/tex] )

Kaitlin wants to pour 27.17 grams of salt into a container. So far, she has poured 25.98 grams. How much more salt should Kaitlin pour?

Answers

Answer:

1.19

Step-by-step explanation:

27.17-25.98= 1.19

FOR REA PLEASE HELP ASAP​

Answers

Answer:

16

Step-by-step explanation: -7 is the least number and 9 is the greatest. the range between -7 and 9 is 16

The dot plots show the total number of hours students spent on homework for one week at
two different schools.
Which statement is supported by the information in the dot plots?

Answers

Answer:

B

Step-by-step explanation:

On Saturday jeff used 2 quarts 1 cup of water from a full gallon of water. On Sunday he used 3 pints of water from the same gallon. How much water was left in the gallon after sunday

Answers

Answer:

17.80

Step-by-step explanation:

Brainliest to answer this math question<33

Answers

Answer:

the . ans 15, 20

HELP PLEASE ILL MARK BRAINEST IF UR RIGHT. Gems math

Answers

Using the Pythagorean theorem where a^2 + b^2 = c ^2

Plugging in the variables you would have

9^2 + 7^2 = 130

Sqrt 130 = 11.40

Your answer is 11.40

Find the area of the figure. Round to the nearest hundredth.

Answers

Answer:

66.27 in²

Step-by-step explanation:

([tex]\pi[/tex]2²)+(4*4)

50.27+16

66.27

which is greater 20.903 or 2.209

Answers

Answer:

20.903

Step-by-step explanation:

Answer:

20.203

Step-by-step explanation:

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