Find the mean and standard deviation for the data set
{6, 8, 7, 5, 10, 6, 9, 8, 4}

Please SHOW steps for everything

Answers

Answer 1

Answer:

See below

Step-by-step explanation:

The mean is simply adding up each data value and dividing your result by the number of data values:

[tex]\text{Mean}=\frac{6+8+7+5+10+6+9+8+4}{9}=\frac{63}{9}=7[/tex]

The standard deviation is calculated through finding the sum of the squared differences between the mean and each data point, and dividing that result by the number of data values, which we then take the square root of:

[tex]\text{Standard Deviation}=\sqrt{\frac{(6-7)^2+(8-7)^2+(7-7)^3+(5-7)^2+(10-7)^2+(6-7)^2+(9-7)^2+(8-7)^2+(4-7)^2}{9}}=\sqrt{\frac{10}{3}}\approx1.8257[/tex]

What this value means is that each data point is spread about 1.8257 apart from the mean. Standard deviation describes how dispersed the data is in relation to the mean.


Related Questions

if w=10, x=5, and y=6, what is the surface are of the figure?

Answers

Answer:

hello!!!!

the answer is 280

im not really sure... read the description.... since i dont see a picture attached i dont know the figure shape which makes it difficult to guarantee the correct answer for you....

please read the explanation.. it always helps...

Step-by-step explanation:

okay im going to guess that the figure is a rectangular prism... if not please correct me

if so.... then...

2(10*5 + 10*6 + 5*6)= 280

giving bralinest to correct answer.

Answers

Answer:

A, 3

Step-by-step explanation:

Just look at x axis, find 6, and then start going up until you hit the line. Then record the point you hit.

The answer is 3
Hope this helps.

SOMEONE PLEASE HELP WILL MARK BRAINLIEST

Answers

Answer:

75.96°

Step-by-step explanation:

[tex] \angle A = \tan^{-1}\bigg(\frac{8}{2}\bigg)[/tex]

[tex] \angle A = \tan^{-1}(4)[/tex]

[tex] \angle A =75.963756532\degree[/tex]

[tex] \angle A \approx 75.96\degree[/tex]

Select the reason that best supports statement 5 in the given proof. (See Image)

A distributive property
B substitution
C reflective property
D subtraction property of equality

Answers

Answer:

Substitution

Step-by-step explanation:

In your premises, the state AB = BC is given to be true. In math, substitution is taking one value in an equation and "subbing it out for" one that we know has the same value. This means anywhere we see AB, we can substitute BC and the equation will still be true, because AB = BC.

In the example given, that changes AB + BC = AC to AB + AB = AC.

We substituted the AB with BC, because we know that they are of the same value.

Identify the zeros of the graphed function.
Question 8 options:

A)

x = –4, –2, 1

B)

x = –1, 0, 2, 4

C)

x = –4, –2, 0, 1

D)

x = –1, 2, 4

Answers

Answer:

A I think this is it

Step-by-step explanation:

Hope this helps :) :)

the answer is C
explanation

How many days would it take to breathe one billion times if you were
breathing at a rate of 12 times per minute?

Answers

Answer:

I think it would be 1,000,000.

Step-by-step explanation:

Let's begin with a correction: the verb in question is TO BREATHE; one instance of doing so is the noun BREATH.

12 times per minute; 60 minutes per hour; 24 hours per day; multiplying all of these gives some number of breaths per day.  I'm going to call it B (you can calculate it).

Answer:

Step-by-step explanation:

12 / min

720 / hr

17,280 / day

6,307,200 / yr

Now divide 1,000,000,000 by 6,307,200 and you get 158 years

Please help with this question.

Answers

Answer: 3

Step-by-step explanation:

Whats the volume of the solid?

A. 8
B 12
c 32
d. 64

I WONT BREATHE UNTIL U ANSWER ME

Answers

The volume of the solid will be equal to V=64 Cubic inches.

What is volume?

The space occupied by any solid object in the three-dimension is called as the volume.

Here we have 8 cubes in the solid object each cube has the side equal to 2 inches.

So the volume of one cube will be:

V=a³=2³=8 cubic inches

Since total number of the cubes are 8 so total volume will be:

V=8x8=64 cubic inches

hence the total volume will be equal to 64 cubic inches`

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Which number is a factor of the prime factorization of 60?
3
9
15
6

Answers

Answer:

3

Step-by-step explanation:

Prime factorization

60 = 2 x 2 x 5 x 3  

9  15  and 6   are NOT prime numbers !

I need help with number 35

Answers

Answer:

144

Explanation:

In a regular polygon all angles and sides are equal. to find out to what all the angles add up to you take the number of sides subtract 1 and multiply by 180.

(10-2)*180=1440

1440/10=144

Approximate by finding the product of (2x10^58)x(2x10^-23)

Answers

The product of the expressions 2 × 10⁵⁸ and 2 × 10⁻²³ in the scientific notation will be 2 × 10³⁵.

What is multiplication?

It is also known as the product. If the object n is given to m times then we just simply multiply them.

The expressions are given below.

2 × 10⁵⁸ and 2 × 10⁻²³

Then the product of the expressions will be

(2 × 10⁵⁸) × (2 × 10⁻²³) = 2 × 10⁵⁸⁻²³

(2 × 10⁵⁸) × (2 × 10⁻²³) = 2 × 10³⁵

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Find the sale price regular price $ 12.88 discount %15

Answers

Answer:

$ 1.932

Step-by-step explanation:

solve by factoring x^2 + 8x =9

Answers

Answer:

[tex]x=-9,\:x=1[/tex]

Step-by-step explanation:

[tex]x^2+8x=9\\x^2+8x-9=0\\(x+9)(x-1)=0\\x=-9,\:x=1[/tex]

What is the image point of (-6, -9) after a translation left 1 unit and down 5 units? ​

Answers

Answer:

(-7,-14)

Step-by-step explanation:
Going left is adding a negative value, so it would be -6-1 which is -7 for the x value and going down 5 units is also a negative value so it would be -9-5 which is -14 giving you (-7,-14)

What is the approximate value of X?! Help ASAP please

Answers

Triangles are similar

x/5=12/1313x=60

x=60/13x=4.615x=4.62

Option E

Answer:

Both of the triangles are similar but they look like they have been rotated a bit.  Sides x is similar to 12 and side 5 (the hypotenuse) is similar to 13.  Therefore we can just set up an equation and cross-multiply.

[tex]\frac{x}{5} = \frac{12}{13}[/tex]

[tex](x * 13) = (5 * 12)[/tex]

[tex]13x = 60[/tex]

Divide 12 from both sides

[tex]13x/13 = 60/13[/tex]

[tex]x=4.615[/tex]

Best option would be Option E, 4.62

There was a population of 160 beavers in a National Park. After a year, the population increased by 45%. How many beavers are there in the park now?​

Answers

Answer:

232

Step-by-step explanation:

→ Find the percentage multipier

( 100 + 45 )÷ 100 = 1.45

→ Multiply this by the original amount

1.45 × 160 = 232

How to find the mean?

Answers

Answer:To find the mean of a data set, add all the values together and divide by the number of values in the set.

Step-by-step explanation:

Colin invests £2900 into his bank account.
He receives 3% per year compound interest.
How much will Colin have after 4 years?
Give your answer to the nearest penny where appropriate.

Answers

Answer:

£3263.98 (nearest penny)

Step-by-step explanation:

Compound interest formula

[tex]\sf A=P(1+\frac{r}{n})^{nt}[/tex]

where:

A = final amountP = principalr = interest rate (in decimal form)n = number of times interest applied per time periodt = number of time periods elapsed

Given:

P = £2900r = 3% = 0.03n = 1t = 4

Substituting given values into the formula and solving for A:

[tex]\implies \sf A=2900(1+\frac{0.03}{1})^{1 \times 4}[/tex]

[tex]\implies \sf A=2900(1.03)^{4}[/tex]

[tex]\implies \sf A=3263.975549[/tex]

Therefore, Colin will have £3263.98 after 4 years (to the nearest penny).

Answer:

$3264

Explanation:

[tex]\sf compound \ interest : P(1+\frac{r}{100} )^n[/tex]  
"P" is principal, "r" is rate of interest, "n" is time (years)

Here given:

principal: £2900rate of interest: 3%time: 4 years

After 4 years amount:

[tex]\rightarrow \sf 2900(1+\frac{3}{100})^4[/tex]

[tex]\rightarrow \sf 2900(1.03)^4[/tex]

[tex]\rightarrow \sf 3263.9755[/tex]

[tex]\rightarrow \sf 3264[/tex]  (rounded to nearest whole number)

PLEASE HELP ME!!!!!!!

Answers

Answer:

D. This is an experiment because it is applying a treatment

Step-by-step explanation:

Experiments and observational studies are both ways to find new information about a hypothesis but in different ways.

Vocabulary

First, to understand the question, let's define the key terms.

Experiment - An experiment is when a scientist purposely applies a treatment and interferes with a person's life in order to gather information.Observational Study - This type of study attempts to study a person without interfering with their lives in any way.

These definitions eliminate the answer choices A and C because both of them match the incorrect definition of the term.

Experiment vs. Observational Study

Now, we need to figure out if this specific example is an experiment or an observational study. In this case, the nutritionist is giving a treatment of vitamins. This means that this cannot be an observational study because the scientist is interfering with people. It has to be an experiment because there is a specific treatment being applied.

100 POINTS! College Statistics
*Wrong/Spammy Answers will be removed*.
Check the attachment for the whole question. Ignore letter e

Answers

(a) Collision claims tend to be skewed right because there are a few very large collision claims relative to the majority of claims.

These large collision claims skew the data to the right because they are outliers that draw the mean higher than it should be.

The answer cannot be "no large collision claims" or "many large collision claims" because then the data would not be skewed.

(b) Since there are two random samples comparing two means, we will be using a 2-Samp-T-Test. We will use Welch's approximate t-test, where we test the hypothesis that these two populations have the same mean.

We want to determine if 20-24 year old drivers have the same mean collision cost as 30-59 year old drivers.

(c) The null hypothesis is that the mean claim of collision costs for 20-24 year old drivers is the same as the mean claim of collision costs for 30-59 year old drivers.

We can also rewrite this as:

H₀: μ₁ = μ₂where μ₁ is the mean collision claims for 20-24 year old driversand μ₂ is the mean collision claims for 30-59 year old drivers

The alternative hypothesis is that the mean claim of collision costs for 20-24 year old drivers is higher than the mean claim of collision costs for 30-59 year old drivers.

We can rewrite this as:

H₁: μ₁ > μ₂Our variables have already been defined

(d) In order to calculate the p-value, we must find the test statistic first.

We can do so by using this formula:

[tex]\displaystyle t=\frac{x_1-x_2}{\sqrt{\frac{s_1^2}{n_1}+\frac{s_2^2}{n_2} }}[/tex]

We are given these variables in the problem:

[tex]x_1=4590[/tex][tex]s_1=2302[/tex][tex]x_2=3670[/tex][tex]s_2=2029[/tex][tex]n_1=40[/tex][tex]n_2=40[/tex]

Substitute these variables into the formula for the test statistic.

[tex]\displaystyle t=\frac{4590-3670}{\sqrt{\frac{2302^2}{40} +\frac{2029^2}{40} } }[/tex]

You can use the calculator to solve this expression, or plug the numbers into your calculator using: STAT - TESTS - 4:2-SAMPTTEST.

Your test statistic should be: t = 1.8962.

The calculator should also tell you the p-value; p = .0308.

(e) Since p = .0308 < α = .1, reject the null. We have convincing statistical evidence that the mean claim of collision costs for 20-24 year old drivers is higher than the mean claim of collision costs for 30-59 year old drivers.


A pot of soup, currently 16°C above room temperature, is left out to cool. If that temperature
difference decreases by 6% per minute, then what will the difference be in 16 minutes?
If necessary, round your answer to the nearest tenth.

°C

Answers

Answer:

5.9 C

Step-by-step explanation:

Plug in 16°C for the initial amount, 0.06 for the rate of decrease, and 16 minutes for the time elapsed.

y= a(1–r)t

y= 16(1–0.06)16 Plug in values

y= 16(0.94)16 Subtract

y= 16(0.37157…) Simplify

y= 5.94518… Multiply

Round to the nearest tenth.

5.94518… → 5.9

To the nearest tenth, the difference in temperature will be 5.9°C.

a triangle that has 2 side lengths of 8 and 12 if x represents the length in inches on the third side, which inequality gives the range of possible values for x

Answers

Based on the triangle inequality theorem, the inequality that gives the range of possible values for x is: 4 < x < 20.

What is the Triangle Inequality Theorem?

The triangle inequality theorem states that the sum of any two sides of a triangle must be greater than the length of the third side.

Therefore, the range of values that is possible for x would be:

12 - 8 < x < 12 + 8

4 < x < 20

The inequality is: 4 < x < 20

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Asking for help on this again because i reallu need it!!

Answers

Answer:

5. 5.8

6. 6

7. 6

Step-by-step explanation:

5. mean - add all values and divide by the number of values

2 + 4 + 4 + 5 + 5 + 5 + 6 + 6 + 6 + 6 + 7 + 9 + 10 = 75

mean = 75/13 = 5.8

6. median - middle value of values written in ascending order.

2 + 4 + 4 + 5 + 5 + 5 + 6 + 6 + 6 + 6 + 7 + 9 + 10

median = 6

7. mode - value that occurs most times

mode = 6

Brainly for the one who help me
the words choices is
Fortunately
Obviously
Suddenly
Eventually

Answers

Answer:

suddenly

Step-by-step explanation:

Answer:

Suddenly is the answer

Step-by-step explanation:

Suddenly is a quickly and without warning or unexpectedly.

Example:Suddenly I heard a loud scream.

A pizza shop has available toppings of bacon, sausage, pepperoni, onions, mushrooms, peppers and anchovies. How many different ways can a pizza be made with 3 toppings?

Answers

The number of ways a pizza with three different toppings out of 7 can be made is ⁷C₃(35).

What is Combination?

The combination helps us to know the number of ways an object can be arranged without a particular manner. A combination is denoted by 'C'.

^nC_r = \dfrac{n!}{(n-r)!r!}\ , \ \ ^nP_r = \dfrac{n!}{(n-r)!}

where,

n is the number of choices available,

r is the choices to be made.

The number of ways a pizza with three different toppings out of 7 can be made is ⁷C₃(35).

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Calculate the distance between the points C = (-5, 9) and G=(-2, 4) in the coordinate plane.
Give an exact answer (not a decimal approximation).

Answers

[tex]~~~~~~~~~~~~\textit{distance between 2 points} \\\\ C(\stackrel{x_1}{-5}~,~\stackrel{y_1}{9})\qquad G(\stackrel{x_2}{-2}~,~\stackrel{y_2}{4})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ CG=\sqrt{[-2 - (-5)]^2 + [4 - 9]^2}\implies CG=\sqrt{(-2+5)^2+(-5)^2} \\\\\\ CG=\sqrt{3^2 +(-5)^2}\implies CG=\sqrt{34}[/tex]

Three coins are flipped.

1. Make an organized list of the sample space for this experiment.

2. Which outcomes represent the event “at least two tails”?

3. What is the probability that there will be at least two tails

I will give brainliest if I see a answer labeled like this 1., 2., 3.,
I can only give brainliest if 2 people answer

Thanks so much! (๑>◡<๑)

Answers

Step-by-step explanation:

1.

when 3 coins are flipped the following outcomes are possible

h = heads, t = tails

h h h

h h t

h t h

h t t

t h h

t h t

t t h

t t t

yes, there have to be 8 options, because we have 3 positions with 2 possible outcomes. that means

2×2×2 = 2³ = 8 possibilities.

2.

at least 2 tails means 2 or 3 t in the list item :

h t t

t h t

t t h

t t t

3.

so, 4 out of the 8 possible outcomes. the probability is then therefore

4/8 = 1/2 = 0.5

which digit is in the hundredths place of the decimal number 6.537?

Answers

3 is the number in the hundredths place

how do i do this?? thanks in advance!

Answers

This is an example of a quadratic equation. Using the quadratic formula, we will see that x = -1.58496250 (in decimal form) and ln (1/3) / ln (2) in fraction form.

In order to select new board members, the French club held an election. 25% of the 84 members of the club voted. How many members voted?

Answers

Answer: 21 people voted

Step-by-step explanation:

an easy way to do this is simply multiply 84 * 0.25.

This gives you [tex]\frac{1}{4}[/tex] of the original amount

in this case 84×0.25 = 21

This means that 21 people voted

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