Which of the following choices is the standard deviation of the sample shown
here?
18, 19, 20, 21, 22
A. 2
B. 12.5
C. 20
D. 2.5
E. square root of 2

Answers

Answer 1

Answer:  E. square root of 2

We can write that in shorthand as sqrt(2)

sqrt(2) = 1.41421 approximately

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

Explanation:

Step 1)

Add up the values to get 18+19+20+21+22 = 100

Divide by n = 5, since there are 5 items in the list. So 100/n = 100/5 = 20

The sample mean is xbar = 20

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

Step 2)

Subtract the mean from each data value

18 - xbar = 18 - 20 = -219 - xbar = 19 - 20 = -120 - xbar = 20 - 20 = 021 - xbar = 21 - 20 = 122 - xbar = 22 - 20 = 2

The results we get are: -2, -1, 0, 1, 2

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

Step 3)

Square the results from the previous step

(-2)^2 = 4(-1)^2 = 1(0)^2 = 0(1)^2 = 1(2)^2 = 4

The results here are: 4, 1, 0, 1, 4

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

Step 4)

Add up those squares from the previous step: 4+1+0+1+4 = 10

Now divide by n = 5 to get 10/n = 10/5 = 2

The result 2 represents the population variance. Applying the square root to the population variance leads to the population standard deviation. So we end up with the final answer of sqrt(2). The answer is choice E.

sqrt(2) = 1.41421 approximately

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

Note: if you want the sample standard deviation, then you divide by n-1 = 5-1 = 4, but the other steps are the same as before.


Related Questions

HELP!!! im running out of time

student is selected at random what is the probability the student is a female junior

Answers

I’m also stuck on this question

Answer:

20%

Step-by-step explanation:

total male = 14

total female = 16

total students 30

there are only 6 females that are juniors so the probability of picking one would be 6/30

and 6/30 is equal to 0.2 (divide)

and 0.2 is equal to 20% (move the decimal right two spaces)

Need help thanks :)

Answers

Answer:

Answer 1= 2 square

Answer 2= 33

36% in its simplest fraction

Answers

Answer:

9/25

Step-by-step explanation:

Ms. Potter bought x number of shirts for the new members of her chorus. The cost for x numbers of shirts, including $6.99 shipping, was $195.99. Each shirt costs $18.25. There was no sales tax on this purchase. Which equation could be used to find x?

Answers

Answer:

instead of finding x find an ps4

Step-by-step explanation:

like what

Simplify for ez fast points!

Answers

Answer:

-81

Step-by-step explanation:

-3 ^4

The negative is not included in the exponent

- (3)^4

- 3*3*3*3

-81

HELP!!!!! need the answer

Answers

Answer:

Solution,

Radius(r)=6 cm

Height(h)=20 cm

Volume of cylinder= pi (r)^2 h

=3.14*(6)^2*20

=3.14*36*20

=2260.8 cm^3

Hope it helps

Good luck on your assignment

75 is 24% of what number?
I WILL GIVE BRAINLIEST!!!!

Answers

Answer:

312.5

Step-by-step explanation:

Is means equals and of means multiply

75 = 24% * n

Change to percent form

75 = .24 n

Divide each side by .24

75/ .24 = .24n/.24

312.5 = n

Find BC in ABC round to the nearest 10th PLEASE ROUND TO THE NEAREST THENTH

Answers

Answer:

The measure of angle A is 48.4 degrees

Step-by-step explanation:

To find the measure of angle A, we are going to use the cosine rule

We have this as;

a^2 = b^2 + c^2 - 2bc Cos A

a^2 = 11^2 + 13^2 -2(11)(13) cos A

100 = 121 + 169- 286cos A

286 cos A = 290-100

286 cos A = 190

cos A = 190/286

cos A = 0.6643

A = arc cos 0.6643

A = 48.4 degrees

HELP ASAP
Find x to the nearest hundredth.

Answers

Answer:

x = 10.28

Step-by-step explanation:

sin = opp/hyp

sin 40 = x / 16

multiply both sides by 16

16 * sin40 = x

x = 10.284601754984629

Rounded

x = 10.28

This is the question I am gonna write it here pls help Yum-Yum restaurant has just increased the wages they pay their employees. To help afford this,Yum-Yum-Yum must mark up their meals by 12%. If the meal cost 7.99, how much will as meal cost after the markup ​

Answers

Answer:

8.95

Step-by-step explanation:

Convert 12% into a decimal by dividing 12 by 100 to get 0.12. To find 12% of 7.99, multiply it by 0.12. However, since we want to know the total cost of the meal after the markup, an eaiser way is to multiply 7.99 x 1.12 (the 1 represents the original price of meal, since we are adding on to it). This is the more effective way to solve this, but another way would just be to take the result of 7.99 x 0.12 and add it to 7.99.

Note that the actual answer is 8.9488, but I rounded to the nearest hundreth.

If cost price of 10 calculators is equals to selling price of 16 calculators .find profit or loss percentage......... tell me​

Answers

Answer:

37.5%

Step-by-step explanation:

10 × cost price = 16 × selling price

cost price : selling price = 16 : 10

=8:5

loss % = (3/8)×100

=37.5%

Answer:

It's a loss

Step-by-step explanation:

A township supervisor hopes to improve the current recycling program by having residents separate their recycled
materials by type. For example, glass and plastic materials would be placed into separate recycling containers. To
measure community support for a change to the recycling program, the supervisor visits a busy shopping area and
asks randomly selected residents to respond to the following question: "Do you agree that responsible citizens
would separate their recycled items by type of material?” What type of bias could be present in the survey results
and what is a likely direction of the bias in estimating community support for the change to the recycling program?
This is question wording bias. The survey overestimates community support for change to the recycling program.
This is question wording bias. The survey underestimates community support for change to the recycling
program
This is voluntary response bias. The survey overestimates community support for change to the recycling
program
This is voluntary response bias. The survey underestimates community support for change to the recycling
program

Answers

Answer:

B

Step-by-step explanation:

It is necessary and the strategic way to collect the waste materials and separate them by material type before recycling. Hence, this is voluntary response bias. The survey overestimates community support for change to the recycling program.

What is recycling?

Recycling is the process regenerating new products from the decomposed materials such as broken plastics, fuel from biowastes, glasses from broken glass parts etc.

Recycling technology is a nature genuine strategy and it helps to reduce the accumulation of wastes on earth surface. Not all people are aware of the significance of this method.

Therefore, the bias possible to be occur for the question is from voluntary response and the survey underestimates community support for change to the recycling program.

To find more on recycling, refer here:

https://brainly.com/question/11861824

#SPJ2

grade 9 maths pls help
Find the zeroes of i)  ( x-31) (x+2)   ii) 3x +5     ​

Answers

Answer:

ok i will help .........

-3x+10=21 solve for x

Answers

Answer:

Step-by-step explanation:

-3x+10=21

-3x=21-10

-3x=11

x=11/-3

x=- 11/3

Of a group of 200 workers, 15 are chosen to participate in a survey about the number of miles they drive to work each week. What is the sample size?

A) 200
B) 15
C) 185
D) 0

Answers

Answer:

15 works were choosen to be the sample size. that means the answer is B.(BRAINLEST!!!)

Step-by-step explanation:


An amount of $45,000 is borrowed for 13 years at 6.75% interest, compounded annually. If the loan
paid back
Use the calculator provided and round your answer to the nearest dollar,

Answers

Answer:

$104850

Step-by-step explanation:

Given data

Principal=  $45,000

Time = 13 years

Rate= 6.75%

the compound interest expression is

A= P(1+r)^t

A=45000(1+0.0675)^13

A= 45000(1.0675)^13

A= 45000*2.33

A= $104850

Hence the final amount will be $104850

its about quartiles
No links

Answers

Answer: See the attached image for the answers. I've arranged the tiles in the proper order.

minimum = 2lower quartile  = 4second quartile = 8upper quartile =  19maximum = 21

This is known as a five number summary.

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

Explanation:

The first thing to do is to sort the numbers from smallest to largest

You should get this set {2, 4, 7, 8, 16, 19, 21}

The middle most value is 8. So this is the median or the second quartile.

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

Split the data set into two lists like so

L = {2,4,7}

U = {16,19,21}

Everything in set L represents the lower set of values smaller than the median. Set U represents the upper set of values larger than the median.

Find the median of sets L and U to get 4 and 19 respectively. These represent the values of Q1 and Q3

Q1 = first quartile = lower quartile = 4

Q3 = third quartile = upper quartile = 19

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

As you can probably guess, the min and max are the smallest and largest values of the set. We can see that min = 2 and max = 21.

whats the answer to 876 + 17.2638

Answers

893.2638

is this what you mean?

The answer is most definitely 893.2638

Can someone help me please

Answers

Answer:

51

Step-by-step explanation:

The range is the largest number minus the smallest number

The largest number is 54 and the smallest number is 3

54-3 = 51

A box contains 60 identical marbles where x of them are red while the rest are yellow. If a marble is drawn and the probability that it is white is 1/12, find the value of x.
b: How many white marbles must be added to the box so that the probability of choosing a white marble is 5/16?
Please answer I will make brianliest!!

Answers

Answer:

a. x is 55

b. 20 white marbles

Step-by-step explanation:

Question: A box contains 60 identical marbles where 'x' of them are red while the rest are white; (given that in the original question, the box only contains red and yellow marbles, the yellow can be replaced by white to explain the question idea)

a. The number of identical marbles in the box, n = 60

The number of red marbles = x

The number of white marbles = The rest of the marbles which are not red

The probability that a marble drawn is white, P(y) = 1/12

Let 'y' represent the number of white marbles

From probability theory, we have;

The number of white marbles, y = n × P(y) = 60 × 1/12 = 5

The number of red marbles, x = n - y = 60 - 5 = 55

x = 55

b. The number of white marbles that must be added to make the probability of choosing a white marble = 5/16 is given as follows;

Let Δy represent the number of white marbles added, therefore;

P(y) = (y + Δy)/(y + Δy + x)

∴ P(y) = (5 + Δy)/(5 + Δy + 55) = 5/16

5 × (60 + Δy) = 16 × (5 + Δy)

300 + 5·Δy = 80 + 16·Δy

16·Δy - 5·Δy = 300 - 80

11·Δy = 220

Δy = 220/11 = 20

The number of white marbles that must be added, Δy = 20 white marbles

One leg of a right triangle is 24. What is the length of the other leg if the hypotenuse is 25?

Answers

Answer:

Hello! answer: 7

Step-by-step explanation:

24 × 24 = 576

7 × 7 = 49

576 + 49 = 625

√625 = 25

therefore the missing leg is 7

Find the area of this circle. Use 3.14 for . A circle has diameter 62 feet. 62 ft


PLS HELP

Answers

Answer:

3017.54

Step-by-step explanation:

Volume for area of circle is A = Pie ( Or in this case 3.14 ) * radius ^ 2

Plug in the numbers 3.14 * 31 ^2

31 is half the diameter or the radius

Answer = 3017.54

Charlotte recorded the number of minutes she spent exercising in the past ten days: 9, 9, 5, 2, 7, 1, 14, 3, 5, 6. Find the median of the data.

Answers

The answer is 5.5 because you have to put all of the numbers in numerical order 1 2 3 5 5 6 7 9 9 14 then find the two middle numbers and add them and you get 11. Divide 11 by two and get 5.5.

A ball is launched out of a cannon that is 24 feet off the ground. The height of the ball after "t" seconds is represented by
h(t) = -16t² + 20x + 24
How many seconds will it take for the to reach the ground?

Answers

Given:

The height of ball is represented by the below function:

[tex]h(t)=-16t^2+20t+24[/tex]

To find:

The number of seconds it will take to reach the ground.

Solution:

We have,

[tex]h(t)=-16t^2+20t+24[/tex]

At ground level, the height of ball is 0, i.e., [tex]h(t)=0[/tex].

[tex]-16t^2+20t+24=0[/tex]

Taking out greatest common factor.

[tex]-4(4t^2-5t-6)=0[/tex]

[tex]4t^2-5t-6=0[/tex]

Splitting the middle term, we get

[tex]4t^2-8t+3t-6=0[/tex]

[tex]4t(t-2)+3(t-2)=0[/tex]

[tex](t-2)(4t+3)=0[/tex]

Using zero product property, we get

[tex](t-2)=0[/tex] and [tex](4t+3)=0[/tex]

[tex]t=2[/tex] and [tex]t=-\dfrac{3}{4}[/tex]

Time cannot be negative, so [tex]t=2[/tex].

Therefore, the ball will reach the ground after 2 seconds.

I NEED HELP ON THIS PLS I WILL MARK BRAINLIEST

Answers

Answer:

56.5

Step-by-step explanation:

To find the perimeter of circle (circumference), we multiply Pi and our radius (half the length across the circle) and then multiply that by 2. perimeter = 2 · π · r

Multiply 18x2 to get 36. Multiply that by pi to get 56.54866776 ( just round to nearest tenth for simplicty ;) ) Therefore, our answer is 56.5

 Jamila earns $14,$11,$20,$15,$20 from babysitting 7 times. Find the interquartile range or IQR

Answers

Answer:

I have not done this math in a while but I think it is -8

Step-by-step explanation:

PLS HELP THIS IS URGET ILL GIVE 100 POINTS
BOTH OR ONE QUESTION ANSWER WILL DO

Answers

Area of triangle 1/2 xbxh
Box 2

is 4.083 rational number

Answers

Yes, it could be converted into a fraction

Irrational numbers are number that cannot be written as a fraction
4083/1000
4 (83)/(1000)

The price of an article is increased from Rs 75 to Rs 78. Find the percentage increase in the price of the article.

Answers

( 78 -75 / 75 ) × 100 =

(3/75 )× 100 =

( 3 / 3 × 25 ) × 100 =

(1/25) × 100 =

100/25 =

% 4

what is the area of this octagon

Answers

Answer:

59cm^2

Step-by-step explanation:

first you can do 8x9 to get 72 then you can subtract 4x2 from 72 to get 64 and lastly you have to subtract 4 from 9 to get the area of the small rectangle on the left so you get 5 and then you have to get the width which is 4+3 from the top and subtract that from 8 on the bottom which is 1 so now you have 5x1 which is 5 and subtract that from 64 to get 59cm^2

hope this helps

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