What is the population standard deviation of this data set?*
2 4 4 5 7 8
A. 0.5
B. 4.8
C. 2
D. 02.19

Answers

Answer 1

Answer:

C)  2

Step-by-step explanation:

step 1:  Find mean of data set

2+4+4+5+7+8 = 30

30/6 = 5

Mean = 5

step 2: subtract each data value from the mean and square it

5-2 = 3;   3² = 9

5-4 = 1;   1² = 1

5-4 = 1;   1² = 1

5-5 = 0;   0² = 0

5-7 = -2;   (-2²) = 4

5-8 = -3;   (-3²) = 9

Add the squared results:

9+1+1+0+4+9 = 24

Divide 24 by 6 to get the Variance of 4

Take the square root of the Variance to get the Standard Deviation

[tex]\sqrt{4}[/tex] = 2


Related Questions

whats 9 +10?
this is way to hard i dont understand

Answers

Answer:

19

Step-by-step explanation:

-.-

Answer: 19

Step-by-step explanation:

Data: 9+10=x

Only step, Add 9+10

10+9=19

Reason: Since + means addition, you have to combine them together and when you do that, all you have to do is count 9 numbers up from 10 to reach 19.

That is how you arrive at the answer of 19

I hope this helps!

(Also, please ask real questions next time)


The sum of 'x' and 'y' is 92. 'x' is larger than 'y' by 20. Find the two numbers.

Answers

Answer:

x=36. y=56

Step-by-step explanation:

x+y=92......(1)

x+20=y........(2)

from equation (1)

x+y=92

y=92-x....(3)

input equation (3) in (2)

x+20=92-x

collect like terms

x+x=92-20

2x=72

x=72/2

x=36

input the value of x in equation (1)

x+y=92

36+y=92

y=92-36

y=56

PLS GIVE BRAINLY

Choose the correct inequality based on the number line below

Answers

Answer:

D.

Step-by-step explanation:

Answer:

D. O < -1

Step-by-step explanation:

H is less than A so that inequality is incorrect.

K is greater than A so that inequality is incorrect.

G is greater than -3 so the inequality is incorrect.

Finally, O is less than -1 so it is correct.

What are the adjacent and vertical pairs in this picture

Answers

Answer:

Step-by-step explanation:

Two line segments AD and CE intersects at a point B.

Two angles which represent the pair of adjacent angles are,

∠ABC and ∠DBC

Pair of vertical angles (Opposite angles between two intersecting lines) is,

∠ABE and ∠CBD

Find the number exactly halfway between 1/5 and9/10

Answers

I am not pretty sure of the answer but maybe it's 5/10

Answer:

the number half way between 1-5 is 3. and the number half way between 9/10 is 9.5

Step-by-step explanation:

to find the number half way between 1/5 just write out all the numbers (1 2 3 4 5) and 3 is the halfway point because there are two numbers on the right and to numbers on the left

the number halfway between 9 and 10 is 9.5. all you do is add 9 +10 then divide by 2

9+10=19

19÷2= 9.5

1,2,3,5 and 7 are all common factors of two numbers. Write down the digit that the two numbers must end in?

Answers

9, anddddddddd 11 get that down

please help me :)

See pic attached

Answers

Step-by-step explanation:

a) The square numbers that greater than 20 but less than 50 are 25, 36, 49.

b) The cube number that greater than 50 but less then 100 is 64.

#CMIIW

Which two-dimensional figure will create a cone with a radius of 3.5 and a height of 7?

A triangle has sides lengths of 7 and 3.5. A line of rotation is at the point opposite to the side with length 7.

A triangle has sides lengths of 7 and 3.5. A line of rotation is at the side with length 3.5.

A triangle has sides lengths of 7 and 3.5. A line of rotation is at the side with length 7.

Answers

Answer:

its last one

Step-by-step explanation:

A triangle has sides lengths of 7 and 3.5. A line of rotation is at the side with length 7.

Answer:

They are correct

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V

Plz help down below is the question

Answers

Answer:

The answer would be exactly 250 messages.

0.50 × x = $125

125÷ 0.50=250

Hope this helps!

You invested $680 at 2.7% compounded monthly. How much money do you have after
8 years? Estimate your answer to two places after the decimal, if necessary.

Answers

Answer:

$843.74

Step-by-step explanation:

A = P (1 + r/n)^nt

A = 680(1 + 0.027/12)^12·8

A = 680( 1.00225)^96

A = 843.74

6 ( 7y - 5) simplified

Answers

Answer:

42y-30

Step-by-step explanation:

here you go

Order the following in ascending order. ​

Answers

3/8 2/5 0.44 0.5 is the answer d !!

CLICK THE PIC AND HEEELP

Answers

Answer:

Hey mate.....

Step-by-step explanation:

This is ur answer.....

1. 3. 4. 5.

These all statements are true!

Hope it helps!

Brainliest pls!

Follow me! :)

Answer:

A, C, D

Step-by-step explanation:

A: Same side interior angles always add up to 180, so they are supplementary.

C: 4 and 6 are alternate exterior angles, so they are congruent, and 6=8 because they are vertical angles, so 4=8.

D: 3 and 1 are vertical angles so they are congruent

PLS HELP WILL MARK BRAINLEST IF UR CORRECT

Answers

I think it’s a carrot

Answer:

52. (0,-3)

53. Slope= 4

54. Y=4x-3

What is the volume?
3 1/4 in
6 1/2 in
2 in

Answers

Answer:

42¼ in³

Step-by-step explanation:

volume = 6½×2×3¼= 42¼ in³

Hopes this helps:

Answer: 42 1/4

*How are the ordered pairs used to create the sine and cosine graphs?

Answers

Answer:

The graphs of sine and cosine have the same shape: a repeating “hill and valley” pattern over an interval on the horizontal axis that has a length of . The sine and cosine functions have the same domain—the real numbers—and the same range—the interval of values

Andrea bought 1 2/5 pounds of avocados at $4.20 per pound and ​ 2 1/
4 ​pounds of asparagus at $3.80 per pound.

What was her total cost?

Answers

Answer:

$14.43¢

Step-by-step explanation:

We are given; [tex]1\frac{2}{5}[/tex] pounds, 1 pound = $4.20 and [tex]2\frac{1}{4}[/tex] pounds,1 pound = $3.80 that Andrea bought.

Now we need to find her total cost. To do that, we must first find the cost of the avocados. To do so, let us set up a graph. But before that is done, convert [tex]1\frac{2}{5}[/tex] to a decimal. It is 1.4. Now we can set up a graph.

Avocados

[tex]\frac{4.2}{1}=\frac{x}{1.4}[/tex]

Switch sides

[tex]\frac{x}{1.4}=\frac{4.2}{1}[/tex]

Apply rule: [tex]\frac{a}{1}=a[/tex]

[tex]\frac{x}{1.4}=4.2[/tex]

Multiply both sides by 1.4

[tex]\frac{1.4x}{1.4}=4.2\cdot \:1.4[/tex]

Simplify

[tex]x=5.88[/tex]

So, her cost for avocados is $5.88¢

Now we must first find the cost of the avocados. To do so, let us set up a graph. But before that is done, convert [tex]2\frac{1}{4}[/tex] to a decimal. It is 2.25. Now we can set up a graph.

Asparagus

[tex]\frac{3.8}{1}=\frac{x}{2.25}[/tex]

Switch sides

[tex]\frac{x}{2.25}=\frac{3.8}{1}[/tex]

Apply rule : [tex]\frac{a}{1}=a[/tex]

[tex]\frac{x}{2.25}=3.8[/tex]

Multiply both sides by 2.25

[tex]\frac{2.25x}{2.25}=3.8\cdot \:2.25[/tex]

Simplify

[tex]x=8.55[/tex]

So, her cost for asparagus is $8.55¢

Total cost

Now that we have found out how much both of the fruits Andrea bought costs, we need to sum it up (meaning add it) to find the total cost:

$5.88¢ + 8.55¢ =

5.88 + 8.55 = 14.43

Therefore, Andrea's total cost of the fruits is $14.43¢

If you draw two cards from a standard deck of 52 cards without replacement.

Answers

Answer:

Step-by-step explanation:

a) prob(king first, Jack second)

= (4/52)(4/51) = 4/663

140.23 < 140.203 what is the answer true or false.

Answers

Answer:

true

Step-by-step explanation:

Answer:

false because 140.23 is not less then 140.203

EASY MATH PLEASE HELP
NO LINKS PLEASE
EXPLANANTION REQUIRED

I WILL GIVE BRAINLIEST

: ) HINT: THE ANSWER IS NOT 168 !!!!


PLEASE REMEMBER THAT EXPLANANTION'S ARE REQUIRED!! : )

ALSO MY TEACHER MADE AN ERROR SO THESE ARE THE OPTIONS FOR WHAT THE ANSWER WOULD BE:
A) 1328
B) 144
C) 176

Answers

Answer:

the answer is C 176

Step-by-step explanation:

The 2nd term of an arithmetic progression is (1/2) and the sum of the first 14th terms is -70. Find
(a) the common difference
(b) the last term.​

Answers

Answer:

The common difference is -1.

The last term (the 14th term) is -11.5.

Step-by-step explanation:

In an arithmetic sequence, the second term is 0.5 and the sum of the first 14 terms is -70.

We want to determine the: (a) common difference and (b) the last term.

We can write an explicit formula to represent the sequence. An arithmetic sequence can be modeled by the formula:

[tex]\displaystyle x_n=a+d(n-1)[/tex]

Where a is the initial term, d is the common difference, and n represents the nth term.

Since the second term is 0.5:

[tex]x_2=0.5=a+d(2-1)[/tex]

Simplify:

[tex]x_2=0.5=a+d[/tex]

The sum of an arithmetic sequence is given by the formula:

[tex]\displaystyle S=\frac{k}{2}\left(a+x_k\right)[/tex]

Where k is the number of terms and x_k is the last term.

Since the sum of the first 14 terms is -70, S = -70 and k = 14:

Using our explicit formula, the last term is:

[tex]x_{14}=a+d(14-1)=a+13d[/tex]

Substitute:

[tex]\displaystyle -70=\frac{14}{2}(a+(a+13d))[/tex]

Simplifiy:

[tex]-10=2a+13d[/tex]

Rewrite the equation for the second term:

[tex]a=0.5-d[/tex]

Substitute:

[tex]-10=2(0.5-d)+13d[/tex]

Simplify:

[tex]-10=1-2d+13d[/tex]

Solve for d:

[tex]d=-1[/tex]

Hence, our common difference is -1.

Solve for a, the initial term:

[tex]a=0.5-(-1)=1.5[/tex]

So, our explicit formula is now:

[tex]x_n=1.5-1(n-1)=1.5-n+1=2.5-n[/tex]

So, the last term (which is 14) is:

[tex]x_{14}=2.5-(14)=-11.5[/tex]

Write a system of linear inequalities represented by the graph.​

Answers

Answer:

Alright so youd havee to right the terms in order which should be easy then your done! Hope this helped!

Step-by-step explanation:

PLEASE HELP! ( no random links )

“How many servings of fruit did you eat yesterday?” Is this a statistical question or non-statistical question?

Answers

Answer:

This is not a statistical question

Step-by-step explanation:

A statistical question is a question the gathers varying data

Isaac earns $15 per hour when he babysits. Let A be the amount he earns in dollars after babysitting for H hours.

Answers

Answer:

A= 15(H)

Step-by-step explanation:

A is the total amount he is going to get, And H is the hours. If he gets 15 an hour. it means however many hours he works multiplied by 15 is the total amount he gets.

Good morning, can someone help me solve this problem? I already did some of it but I need help, thank you

Answers

Answer:   (-4, -1)

This means x = -4 and y = -1 pair up together.

======================================================

You're on the right track. You'll replace the 'x' with 3y-1, but you made a typo. I think you meant to write the subtraction symbol instead of the equal sign.

Here's what your steps could look like

-2x + 5y = 3

-2(3y-1) + 5y = 3

-6y + 2 + 5y = 3

-y + 2 = 3

-y = 3-2

-y = 1

y = -1

x = 3y-1

x = 3(-1) - 1

x = -3-1

x = -4

Therefore, (x, y) = (-4, -1) is the solution

-------------------

As the steps above show, I replaced each copy of x in the second equation with (3y-1). This is due to x = 3y-1. From there, we isolate y. Once you determine that y = -1, it's plugged into the first equation to find x.

If you were to graph x = 3y-1 and -2x+5y = 3 on the same xy coordinate grid, then the two lines would intersect at (-4, -1)

Also, note how plugging x = -4 and y = -1 into the second equation leads to...

-2x+5y = 3

-2(-4)+5(-1) = 3

8 - 5 = 3

3 = 3

We get the same value on both sides, so that verifies the second equation. I'll let you verify the first equation.

pls help me with these and can you do them all and mitch you show me how to and I don't care if you use photo math thank you and use give me the best will be thank and brainlist.

Answers

Show the thing that you need to solve
Show the problems needed to be solved and I would be more glad than to help you love

what if a man has 19 cows and he wants to give Half of them to his brother 1/4th to Son and 1/5th to daughter?​

Answers

9.5 for the brother 19/4 for the son and 19/5 for the daughter I think

Step-by-step explanation:

So 9.5 would be 10. 19/4 would be 5 and 19/5 would be 4

SO the brother would get 10 the son would get 5 and the daughter would get 4

Answer:

Brother-9.5

Son-19/4  

Daughter-19/5

Step-by-step explanation:

Also, pls help me on my phsyics Q3 work on graduation alliance. PLEASE PLEASE.

A recipe calls for 1 ¾ cups of flour. If the recipe is tripled, how much flour is needed?

Answers

Answer:

5 and 1/4 cups

Step-by-step explanation:

Break it down

.75 times 3 = 2.25

1 times 3 = 3

2.25 +3 = 5.25 or 5 1/4 cups

Answer:

5 and 1/4 = 5.25

Step-by-step explanation:

I converted 5 and 3/4 to 5.75. Then i just multiplied 5.75*3=5.25. 5.25 is equal to 5 and 1/4

Hope this helps :)

Which radio costs 150% as much as Radio D?

Answers

Im just geussing but i think its b

Find the value of 3a+ 3b when: a = 6 and b = 4 a = 4 and b = 6 Your two answers should be the same. Look at the expression and the a and b values and explain why the answers are the same.

Answers

Answer:

The answer is 30.

Step-by-step explanation:

The given expression is :

3a+3b

Put a = 6 and b = 4 in the above expression.

3a+3b = 3(6) + 3(4)

= 18+12

= 30

Now put a = 4 and b = 6 in the above expression.

3a+3b = 3(4) + 3(6)

= 12+18

= 30

Hence, the answer in both case is same i.e. 30.

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