What is the standard deviation of the data set? 1, 4, 2, 2, 8, 7, 3 Round your answer to the nearest tenth.

Answers

Answer 1

Standard deviation is a measurement of a collection of values' variance or dispersion. The standard deviation of the data set is 2.474.

How to calculate the standard deviation of a data set?

Step 1: Find the mean

Step 2: Find each score’s deviation from the mean

Step 3: Square each deviation from the mean

Step 4: Find the sum of squares

Step 5: Apply the formula

[tex]SD = \sqrt{\dfrac{\sum(x_i-\bar{x})^2}{n}}[/tex]

The data set that is given to us is {1, 4, 2, 2, 8, 7, 3}, now use the steps to calculate the standard deviation.

Step 1: Find the mean

The mean of the given data set can be written as,

[tex]Mean, \mu=\dfrac{1+4+2+2+8+7+3}{7} = 3.857[/tex]

Step 2: Find each score’s deviation from the mean

1 - 3.857 = -2.857

4 - 3.857 = 0.143

2 - 3.857= -1.857

2 - 3.857= -1.857

8 - 3.857 = 4.143

7 - 3.857 = 3.143

3 - 3.857 = -0.857

Step 3: Square each deviation from the mean

-2.857² = 8.162

0.143² = 0.02

-1.857² = 3.447

-1.857² = 3.447

4.143² = 17.165

3.143² = 9.877

-0.857²= 0.735

Step 4: Find the sum of squares

8.162+0.20+3.447+3.447+17.165+9.877+0.735 = 42.857

Step 5: Apply the formula

[tex]SD = \sqrt{\dfrac{\sum(x_i-\bar{x})^2}{n}}\\\\SD = \sqrt{\dfrac{42.857}{7}} \\\\SD= 2.474[/tex]

Hence, the standard deviation of the data set is 2.474.

Learn more about Standard Deviation:

https://brainly.com/question/12402189


Related Questions

can anyone help me with my homework
14-16
21-24
30-32
51-53

Answers

Answer:

y-intercept formula: b=mx-y

X-intercept formula: b=Mx+y

Step-by-step explanation:

m=slope

I need help on this

Answers

Answer:

A. 75.6 in³

Step-by-step explanation:

The volume of a rectangular prism is V = Bh, where B = area of the base and h = height. We're given the dimensions of the base as 4.2 and 3, and the height as 6.

4.2 × 3 = 12.612.6 × 6 = 75.6 cubic inches

Have a lovely rest of your day/night, and good luck with your assignments! ♡

Answer:

A. 75.6 in³

Step-by-step explanation:

Given :-

Base area = 4.2 in x 3 in

Height = 6 in

To find :-

Volume

Formula required :-

Volume = length x breadth x height

Volume = base area x height

Solving :-

V = 4.2 x 3 x 6

V = 12.6 x 6

V = 75.6 in³

Solution :-

A. 75.6 in³

when m and I are cut by transversal n. if m<3=67° , determine m<6.​

Answers

Answer:

113°

Step-by-step explanation:

Angles 3 and 6 are consecutive interior angles

As per definition, consecutive internal angles add to 180°

m∠3 = 67° ⇒ m∠6 = 180° - 67° = 113°

Find the number of shaded triangles for each figure. first triangle: second triangle: third triangle: fourth triangle:

Answers

A triangle is a three-sided polygon with three vertices and three edges. The number of triangles in the given figure are 1, 3, 9, and 27.

What is a triangle?

A triangle is a three-sided polygon with three vertices and three edges. It is one of the most fundamental geometric forms.

The number of shaded triangles in each of the triangles is shown below, therefore, the number of triangles in each triangle can are:

1st triangle = 1

2nd triange= 3

3rd triangle = 9

4th triangle = 27

Hence, the number of triangles in the given figure are 1, 3, 9, and 27.

Learn more about Triangles:

https://brainly.com/question/25813512

Answer:

first part is 1, 3, 9, 27

second part is A

third part is 29,524

Step-by-step explanation:

edg 23'

7. Is it possible to have a triangle with the following side lengths: 8 in, 9 in, and
17 in?

Answers

Yea it is possible for that to happen

How many solutions does this equation have: y=x^2-7x-18

Answers

Answer: 2 solutions


-2 and 9

Step-by-step explanation:

see pic

factorise 16 x -54 x ^ 4

Answers

Step-by-step explanation:

16x - 54x⁴

= 2x(8 - 27x³)

....

Step-by-step explanation:

i hope this will help!!..

....

What is the image of the point (-6, - 2) under a 90° rotation about the point (-4, 1)?

A. (-1,2)
B. (-2,4)
C. (-1, - 1)
D. (-7,3)

Answers

Maybe D?????????? Hope I helped!!!!!

Answer:

Step-by-step explanation:

C.(-1,-1)

Directions Solve using any method.
17) Eve bought cupcakes for her sister's birthday party 10% of the 20 cupcakes had sprinkles
on top. How many cupcakes had sprinkles?

Answers

it’s 2 you have to multiply .10 by 20 to get 2

(2-3x) (5x+1) factoriser

Answers

-15xsquared+7x+2 is the answer

Whats the answer for this. I am stuck

Answers

Answer:

the probability that either B occurs without A occurring or A and B both occur is 0.73.

Step-by-step explanation:

I need help solving this problem. ​

Answers

Answer:

Step-by-step explanation:

area of parking lot=(100-x)(100+x)=100²-x²=(10000-x²)ft²

original area=100²=10000 ft²

x²>0

so new area is decreased.

I need this answered the top ones are B and Z

Answers

Answer:

The number of lines for each angle tell you which angles are congruent.

The angle with one line in one triangle is the same as the angle with one line in the other triangle.

(a)

∠A ≅ ∠X

∠B ≅ ∠Z

∠C ≅ ∠Y

The dashes of the side lengths tell you which side lengths are congruent.

The line with one dash in one triangle is the same as the line with one dash in the other triangle.

(b)

AB ≅ XZ

AC ≅ XY

BC ≅ ZY

(c)

ΔBCA ≅ ΔZYX

im very confused of this question i need help

Answers

Answer: add to eliminate x

Step-by-step explanation:

Answer:

add to eliminate x

Step-by-step explanation:

In my opinion, the fourth option is the answer

Are the ratios 5:20 and 1:2 equivalent?

Answers

Hey there!

Question reads….

“Are the ratios 5:20 and 1:2 equivalent?”


Let’s find out if they are or not!

5:20

= 5 ÷ 5 : 20 ÷ 5

= 1 : 4

So, therefore, your answer is: NO because 5:20 = 1:4 NOT 1:2


Good luck on your assignment & enjoy your day!


~Amphitrite1040:)

p: Atlanta is the capital of Georgia. q: There are 4 feet in a yard.
Truth Value: -----

Answers

Answer:

Statement P is T

Stamens Q is F

Step-by-step explanation:

Here, we want to write the truth value for each of the statements.

For statement P, the truth value is T since in reality Atlanta is the capital of Georgia.

For statement q, the truth value is F since in reality there are 3 feet in a yard

imagine that you write each letter of the word california on individual cards. you shuffle them, turn them facedown on a table, and trn over the top card. what is the probability of turning over an A?

Answers

Answer:

Let's find how many letters California has first, c-a-l-i-f-o-r-n-i-a has 10 letters.

Now let's find how many letter A's are in the word California, California has two a's in the word.

So there are 2 cards out of 10 that could possibly be selected as the letter A.

Your probability is:-

2/10 which simplifies to 1/5, if you wanted to make this a percentage as well;

1/5 * x/100

solve for x;

20%

The required probability of turning over an A is given as 20% or 0.2.

What is probability?

Probability can be defined as the ratio of favorable outcomes to the total number of events.

Here,
California = C, a, l, i, f, o, r, n, i, a = 10 letters
So,
Number of card = 10

Now,
there are two a's in the card deck
So the probability of turning over an A,
= 2 / 10
= 0.2 or 20%

Thus, the required probability of turning over an A is given as 20% or 0.2.

Learn more about probability here:

brainly.com/question/14290572

#SPJ2

Evaluate 2x + 4y if x = -1 and y = 3
Evaluate ab + c if a = 2 b = -4 and c=5

Answers

✏️SUBSTITUTION

Solution:

Number #1

2x + 4y

Given: x = -1, y = 3

2x + 4y2(-1) + 4(3)-2 + 1210

Number #2

ab + c

Given: a = 2, b = -4, c = 5

ab + c(2)(-4) + 5-8 + 5-3

Answer:

Evaluate 2x + 4y if x = -1 and y = 3

10

Evaluate ab + c if a = 2 b = -4 and c=5

-3

•••••••••••••••••••••••••••••••••••••••••••••••••

#CarryOnLearning

HELP!!! I ONLY HAVE 2 MINUTES TO TURN THIS IN!!!!!
Write the generic form for a linear equation in slope-intercept form.
ANSWER FIRST TO GET BRAINLIEST!!!!

Answers

Answer:

The general form ax+by+c=0 is one of the many different forms you can write linear functions in. Other ones include the slope intercept form y=mx+b or slope-point form.

help pleaseeeeeeeee!!

Answers

Answer:

-x12

Step-by-step explanation:

cause I know

Paper clips are sold in boxes of 1000.
Each box costs £15.40
The table below shows the discount offered for large orders.
Total order Discount
£40 - £54.99 5%
£55 - £79.99 6.5%
£80
8%
above
Ethan orders 5 boxes of paper clips.
Work out the amount of discount Ethan gets.

Answers

Ethan orders 5 boxes of paper clips and each box cost £15.40.

£15.40 x 5 = £77

Ethan gets a 6.5% discount.

6.5% of £77 is simple to find us X as representation of 6.5% (we want to know how much is that in pounds)

X/6.5% = 77/100%

X (100) = 77 (6.5)

X (100) = 500.5

X = 500.5/100

X = £5.01

Ethan got a discount of £5.01

A trader bought 5 bags of rice for GH₵210.00 each if he sold them at a profit of 20% what was the selling price . pls give the step by step explanation​

Answers

Every one bag of rice cost
= GH₵ 210

Hence 5 bags cost
= 5 x 210
= GH₵ 1050

The trader sold them at a profit of 20% of the cost price

Hence the profit made
= 20% x 1050
=(20/100) x 1050
= GH₵ 210

The selling price
= cost price + profit
= 1050 + 210
= GH₵ 1260

a bag contains 11 counters, five of the counters are white .a counter is taken out of the bag at random and not replaced. a second counter is taken out of the bag at random.calculate the probability that only one of the counters are white

Answers

Answer:

6/11

Step-by-step explanation:

5 of the counters are white that are taken out of the bag. That means if one more was taken out if the bag after that was the only white counter left then we can conclude that since there are 11 counters in the bag and 6 are white then, the probability of picking a white counter would be 6/11.

Have a great rest of your day
#TheWizzer

Answer:

P(of picking one of the white counters )= 8/11

Step-by-step explanation:

Firstly you need to identify the counters

White counters = 5

Unknown= 6

Total outcome = 11

With the aid of a tree diagram and following the condition of not replaced we go on and compute our findings

Please help me out with this.

Answers

Answer:

8 & 45

Step-by-step explanation:

This is done regarding BODMAS.

Fisrt 2(2)^2 - 3(2)(-3) -2(-3)^2

8 + 18 - 18

8.

Second 2(-3)^2 - 4(-3) + 6

27 + 12 + 6

45.

Answer:

2(2)^2  -  3(2 x -3)  -2(-3)^2

  8        -    3(-6)     -   2(9)

   8       -    -18       -      18

         26     -  18

                 8

Step-by-step explanation:

. Suppose (as is roughly true) that 88% of college men and 82% of college women were employed last summer. A sample survey interviews SRSs of 400 college men and 400 college women. The two samples are of course independent. (a) What is the approximate distribution of the proportion pF of women who worked last summer? What is the approximate distribution of the proportion pM of men who worked? (b) The survey wants to compare men and women. What is the approximate distribution of the difference in the proportions who worked, pM − p F ? Explain the reasoning behind your answer. (c) What is the probability that in the sample a higher proportion of women than men worked last summer?

Answers

Answer:

(a) The approximate distribution of the proportion pf of women who worked = 0.82, the standard distribution = 0.00738

The approximate distribution of the proportion pM of men who worked = 0.88, the standard distribution ≈ 0.01625

(b)  pM - pF =  0.06

While pF - pM = -0.06

The difference in the standard deviation ≈ 0.01025

(c) The probability that a higher proportion of women than men worked last year is 0

Step-by-step explanation:

(a) The given information are;

The percentage of college men that were employed last summer = 88%

The percentage of college women that were employed last summer = 82%

The number of college men interviewed in the survey = 400

The number of college women interviewed in the survey = 400

Therefore, given that the proportion of women that worked = 0.82, we have for the binomial distribution;

p = 0.82

q = 1 - 0.82 = 0.18

n = 400

Therefore;

p × n = 0.82 × 400 = 328 > 10

q × n = 0.18 × 400 = 72 > 10

Therefore, the binomial distribution is approximately normal

We have;

[tex]The \ mean = p = 0.82\\\\The \ standard \ deviation, \sigma = \sqrt{ \dfrac{p \times q}{{n} } }= \sqrt{ \dfrac{0.82 \times 0.18}{{400} }} \approx 0.01921\\[/tex]

Therefore, the approximate distribution of the proportion pf of women who worked = 0.82, the standard distribution ≈ 0.01921

Similarly, given that the proportion of male that worked = 0.88, we have for the binomial distribution;

p = 0.88

q = 1 - 0.88 = 0.12

n = 400

Therefore;

p × n = 0.88 × 400 = 352 > 10

q × n = 0.12 × 400 = 42 > 10

Therefore, the binomial distribution is approximately normal

We have;

[tex]The \ mean = p = 0.88\\\\The \ standard \ deviation, \sigma = \sqrt{ \dfrac{p \times q}{{n} } }= \sqrt{ \dfrac{0.88 \times 0.12}{{400} }} \approx 0.01625\\[/tex]

Therefore, the approximate distribution of the proportion pM of men who worked = 0.88, the standard distribution ≈ 0.01625

(b) Given two normal random variables, we have

The distribution of the difference the two normal random variable = A normal random variable

The mean of the difference = The difference of the two means = pM - pF = 0.88 - 0.82 = 0.06

While pF - pM = -0.06

The difference in the standard deviation, giving only the real values, is given as follows;

[tex]The \ difference \ in \ standard \ deviation = \sqrt{ \dfrac{p_1 \times q_1}{{n_1} } -\dfrac{p_2 \times q_2}{{n_2} } }\\\\= \sqrt{\dfrac{0.82 \times 0.18}{{400} }-\dfrac{0.88 \times 0.12}{{400} }} \approx 0.01025\\[/tex]

(c) When there is no difference between the the proportion of men and women that worked last summer, the probability that there is a difference = 0

Therefore, taking 0 as the standard score, we have;

[tex]z = \dfrac{0 - (-0.06)}{0.01025} \approx 5.86[/tex]

Given that the maximum values for a cumulative distribution table is approximately 4, we have that the probability that a higher proportion of women than men worked last year is 0.

In a recent year, 33..9% of all registered doctors were female. If there were 53,100 female registered doctors that year, what was the total number of registered doctors?
Round your answer to the nearest whole number.

Answers

Answer:

88145 doctors

Step-by-step explanation:

Percentage of male doctors=64/100×53100=

35046%.

Therefore 53100+35046=

88145 doctors

What is the slope of the line below?

Answers

4/2 or 2
the 4 comes up from the amount of spaces going up and the 2 comes from how many spaces goes right, hope this helps

Answer:

Hello!!! Princess Sakura here ^^

Step-by-step explanation:

The slope could be determined by plugging in what you know into here....

[tex]m=\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

then plug in what you know...

[tex](1,-2)\\(3,2)\\y_{2} =-2\\y_{1} =2\\x_{2} =1\\x_{1} =3[/tex]

[tex]m=\frac{-2-2}{1-3} =\frac{-4}{-2} =2[/tex]

So the slope is 2.

Jess Used 11 1/2 cups of flour to make 3 1/2 batches of oatmeal cookies. One batch makes 24coookies .If she follows the same recipe, How much batches of cookies can she make with 16 1/2​

Answers

Answer:

Jess used 11 1/2 cups of flour to make 3 1 / 2

batches of oatmeal cookies. One batch makes 24 cookies.

If Jess follows the same recipe, about how many cookies can she make with 16 1/2 cups of flour ?

A- 30

B- 120

C-200

D-380

Step-by-step explanation:

6x + 2x - 18 = 0
What are the values of
a
b
c​

Answers

Answer:

A. 6

B. 2

C. 18

Step-by-step explanation:

PLS HELPPPP IM BEING TIMED

Which equation represents a linear function that has a slope of 5 and a y-intercept of -6?
4
O y=-6x+ 5
O x-x-6
O y=6x+

Answers

I THINK ITS THE FIRST ONE
Other Questions
Sobre los que son los factores de riesgo en incidentes How many presidents served under the articles of confederation HURRY The admission fee at a local zoo is $1.50 for children and $6.00 for adults. On a certain day, 2100 peopleenter the zoo and $9, 450.00 is collected. How many children and how many adults attended? I need help ASAPSteve said that [5, 12) is the interval notation that represents the set of all real numbers greater than or equal to 5 and less than 12. Joe says that (5, 12] is correct interval notation. Who is correct and justify why? What percentage of total hours was spent walking? hey guys how do you simplify this fully? Samuel is running a 3-mile race. He would like to finish the race in under 33 minutes. He has already run for 10. 5 minutes. Which inequality represents the situation? 10. 5 x Less-than-or-equal-to 33 10. 5 x < 33 10. 5 x Greater-than-or-equal-to 33 10. 5 x > 33. = N2 + O2 --> NO2Balance the Chemical equation. Hawaiis Mauna Kea measures 9.754 kilometers from its base to its peak. Part of Mauna Kea lies 5.549 kilometers below the ocean. What is the height of the part of Mauna Kea that is above sea level? a. 4.205 kmb. 4.025 km d. 3.991 kmc. 4.150 kmd. 3.991 km Please select the best answer from the choices provided 7. What are the top 8 signs of extreme depression and substance abuse? On the grid below,draw the graph of y=2x-2 for values of x from -2 to 3 A sample of radioactive iodine-131 is found to have an activity level of 4X10^-6 curies and a half-life of 8 days. HOw much time must pass before the activity level of the radioactive waste drops to 2.5 X10^-5 curies? 13. A local radio station is having a contest in which every 12th callerreceives a CD and every 10th caller wins free concert tickets. Whatnumber caller would you need to be to win both prizes? In industrial societies a younger person holds the greatest social power. Please select the best answer from the choices provided T F. Because he mistakenly believes that older workers are not as motivated to work hard as younger workers, a factory foreman is especially vigilant for signs of laziness among his senior employees. His supervision strategy of seeking out evidence to support his belief that older workers are lazy best illustrates HELP ME PLSSSSSSSSSSSS PLEASE HELP MEMarian is painting a fence that is 72 ft long. She has already painted 5/8 of the fence. How many feet of fence does he have left to paint? Draw a diagram. complete the second sentence so that they have similar meaning to the first sentences using the word in ( ) use between two and five words1.when does the boxing match end (would)I........... when the boxing match ends 2. I wondered if you could take me to the concert tomorrow (mind)would........to the concert tomorrow ?3. I'd like to know how much that membership fee is (suppose)I.......... how much the membership fee is 4. could I borrow your tennis racket?(lend)I wonder.......your tennis racket5. will you come to the dance with me(ask)I'd.......... to come to the dance with me6. could you help me carry this equipment?(wonder)I......... meet carry this equipment does scope frequently changes during a project? In retaliation for the boston tea party, the british passed laws to punish the colonists, including increasing taxes. what effect did these measures have on colonists? they temporarily quelled colonists protests due to fear of further punishment. they angered colonists even more, prompting the boston massacre. they united the colonists in their calls for independence from the british. they prompted the formation of the continental army to defend colonial interests.