what is the standard deviation of 77, 45, 72, 56, 98, 60, 70, 89, 50, 80, 95, 70, 34, 77, 65, 70, 70, 82, 86, 86.

What percentage of the scores are within one standard deviation of the mean (±1)? Please include the range of values for this deviation and the exact values from the data set that are included in this range.

What percentage of the scores are within two standard deviations of the mean (±2)? Please include the range of values for this deviation and the exact values from the data set that are included in this range.

Does this data fit the model of a normal distribution? Why or why not?

Answers

Answer 1

Standard deviation of the numbers is 16.154.

What is Statistics?

Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.

The given observations are

77,45,72,56,98,60,70,89,50,80,95,70,34,77,65,70,70,82,86,86

Average or mean of the data is

x=Sum of n values/ Total number of values

x=1432/20=71.6

The Standard deviation of the data is

[tex]\sigma=\sqrt{\frac{\sum(x-mean)^{2}}{n} }[/tex]

=√5218.8/20

=√260.94

=16.154

Hence, standard deviation of the numbers is 16.154.

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Related Questions

The chess clubs at school decides to give $400 to a charity at Christmas time. If the chess club raised $1,000 fund raising. What percent of the fund raiser did they donate to charity

Answers

Answer: 40%

Step-by-step explanation:

To find the percent, divide the amount donated by the full amount of money raised. 400/1000 = 0.4.

Now to make this into a percentage, multiply the answer by 100. 0.4 * 100 = 40.

Percent of the fund raiser did they donate to charity 40%

What is percentage ?

In mathematics, a percentage is a number or ratio that can be expressed as a fraction of 100. If we have to calculate percent of a number, divide the number by the whole and multiply by 100. Hence, the percentage means, a part per hundred. The word per cent means per 100. It is represented by the symbol “%”.

Percentages have no dimension. Hence it is called a dimensionless number. If we say, 50% of a number, then it means 50 per cent of its whole.

To find the percent,

divide the amount donated by the full amount of money raised. 400/1000 = 0.4.

Now to make this into a percentage,

multiply the answer by 100.  0.4 * 100 = 40.

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A distance of 6.5 × 10−8 is multiplied by 10. The result is written in scientific notation. What is the new exponent?

Answers

Answer:

6.5 x 10^(-7)

Step-by-step explanation:

When multiplied by 10, it is like multiplying by 10^1. We can use the exponent rule: 10^(-8) * 10^1 = 10^(-7).

Example:

1.3 x 10^2 multiplied by 10

This is the same as 130 multiplied by 10 which is equal to 1300.

1300 written in scientific notation is 1.3 x 10^3, which adds one more onto the exponent.

Do now: Balance the following equation.
1.
C₂H₂ + O₂--
+
--->
- CO2 + H2O

Answers

Answer:

C2H2 + 3O2 ---> 2CO2 + 2H2O

Step-by-step explanation:

Is (6,7) the same point as (7,6)? Explain

Answers

Answer:

no

Step-by-step explanation:

no

Answer:

NO

Step-by-step explanation:

6,7 is a totally different point from 7,6 if you where to graph it 7,6 would be above 6,7 not on the same point.

Write the equation for 5x+ 2 y= 3 in slope-intercept form PLEASE HELP ME

y= -5/2x+ 3x

y=5/3x -3/5

y= -2/5x + 3/5​

Answers

Answer:

y=-5/2x+3/2

Step-by-step explanation:

5x+2y=3

2y=3-5x

2y=-5x+3

y=-5/2x+3/2

Find the output, y, when the input,x, is 6.
y =?

Answers

0 because when x is 6 y is on the bottom of the x axis or at 0

Answer:

Y= 0

Step-by-step explanation:

(X+2)(x+6)=0
In the problem shown, to conclude that x + 2 = 0 or x + 6 = 0, one must use the:

o zero product property
O division property
O transitive property
O multiplication property​

Answers

ANSWER: zero product property

Answer:

Zero-product property.

Step-by-step explanation:

[tex]\text{If}~ ab =0\\\\\text{then}~ a=0~ \text{or}~ b=0[/tex]

Find the product of 6b(2 over 3b).

20 over 3b
4b
23 over 3 b2
4b2

Answers

Answer:

c is my opinion

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

trust me.

Negative 4,200 divided by 300

Answers

Answer:

-14

Step-by-step explanation:

What is the domain of the function?
Enter your answer in the box.
demos.

Answers

Answer: the x or the input of a function

Step-by-step explanation:

The x is domain of the function

Someone help pleaseeeee

Answers

Answer:

[tex]1. \: \: \: a = \frac{5}{7} \\ 2. \: \: \: 4 \\ 3. \: \: \: 15 {x}^{2} + 60x + 135 \\ 4. \: \: \: m = {75}^{o} \\ [/tex]

Step-by-step explanation:

[tex]1. \: \: 7a - 8 = 13 \\ 7a - 8 + 8 = 13 + 8 \\ 7a = 5 \\ \frac{7a}{7} = \frac{5}{7} \\ a = \frac{5}{7} \\ [/tex]

[tex]2. \: \: \: 4 = 2 \times 2 \\ 8 = 2 \times 2 \times 2 \\ 4 \\ [/tex]

[tex]3. \: \: \: 15 {(x + 3)}^{2} \\ 15(x + 3)(x + 3) \\15 (x + 3)(x + 3) \\ 15 |x(x + 3) + 3(x + 3)| \\ 15 ({x}^{2} + 3x + 3x + 9 )\\ 15( {x}^{2} + 6x + 9) \\ {15x}^{2} + 60x + 135 \\ [/tex]

[tex]4. \: \: \: m = {75}^{o} (opposite \: angles)[/tex]

You are given three cards. One card has the number 1 on it, another card has. 2, and the last card has the number 3 on it. Use two cards to make a fraction. What is the largest fraction that you can make?

Answers

Answer:

2/3

Step-by-step explanation:

I hope it's the answer. if it isn't tell me so that I can try it again bye.

Please help with math problem! :)

Answers

Answer:

Step-by-step explanation:

y-8=2x-2

y = 2x + 6

y- intersect = 6

x- intersect = -6/2 = -3

Slope: 2

Multiply the following expression: 12 x (- 6 1/2 )​

Answers

Answer:

 -78

Step-by-step explanation:

Simplify -6 1/2 to -13/2

Then multiply by 12

-13/2 x 12/1= -156/2

Simplify -156/2 to -78

Hopes This Helps :)

Eva took a taxi from her house to the airport. The taxi company charged a pick-up fee of $4.10 plus $0.50 per mile. The total fare was $9.60, not including the tip. Write and solve an equation which can be used to determine mm, the number of miles in the taxi ride.

Answers

Here we must write and solve a linear equation to find the number of miles that Eva traveled in the taxi. We will find that Eva traveled 11 miles.

So we know that the taxi charges a fee of $4.10 and then a plus of $0.50 per mile.

So if you travel for m miles, the cost equation is:

C(m) = $4.10 + $0.50*m

Now, we know that for Eva the total fare (total cost) was $9.60, then we need to solve:

$9.60 = C(m) = $4.10 + $0.50*m

$9.60 = $4.10 + $0.50*m

$9.60 - $4.10 = $0.50*m

$5.50 = $0.50*m

$5.50/$0.50 = m = 11

This means that Eva traveled 11 miles in the taxi.

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Answer:

11

Step-by-step explanation:

Which expression is equivalent to the following complex fraction? 2 minus StartFraction 1 Over y EndFraction divided by 3 StartFraction 1 Over y EndFraction.

Answers

The equivalent fraction to the given complex fraction is  [tex]\frac{2y-1}{3y+1}[/tex].

Given expression,

[tex]\dfrac{2-\frac{1}{y} }{3+\frac{1}{y} } } \\[/tex]

We have to find the equivalent fraction of    [tex]\frac{2-\frac{1}{y} }{3+\frac{1}{y} } } \\[/tex] .

On solving,

[tex]\dfrac{2-\frac{1}{y} }{3+\frac{1}{y} } } =\dfrac{\frac{2y-1}{y} }{\frac{3y+1}{y} }[/tex]

Eliminating y from numerator and denominator we get,

[tex]\dfrac{2-\frac{1}{y} }{3+\frac{1}{y} } } =\dfrac{2y-1} {3y+1} }[/tex]

Hence the required expression is    [tex]\frac{2y-1}{3y+1}[/tex].

For more details follow the link:

https://brainly.com/question/17912

Answer:

The answer is D :)

Step-by-step explanation:

2y-1/3y+1

A computer processes information in nanoseconds. A nanosecond is one-billionth of a second. Write this number as a decimal.

Answers

Answer:

0.000000001

Step-by-step explanation:

Let's convert this :

0.000000001

  tHT      M    B

t=tenths

H=Hundredths

T=Thousandths

M=millionths

B=Billionths

Find the area of the shape.

Answers

Answer:

27 π

Step-by-step explanation:

Notice that the shape is 3/4 of a circle with radius 6. So we need to find 3/4 of the area of a circle with radius 6. The area of a circle with radius 6 is [tex]\pi r^2 = \pi \cdot 6^2 = 36\pi[/tex].

3/4 of this is [tex]\frac{3}{4} \cdot 36\pi = \boxed{27\pi.}[/tex]

Hello da 234234r32 ef3qew3e2wr3qefwasdwasd

Answers

ah, thank you. your question truly made the most of sense.

help me pls..........​

Answers

Answer:

1000x or 1000 thousand times greater

Step-by-step explanation:

every decimal to the left is 10x greater than the one right of it.

On a coordinate grid, point P is at (4, 3) and point R is at (−2, −5). Points Q and S are a reflection of both points across the x-axis. What are the coordinates of Q and S?

Q(−4, 3), S(2, −5)
Q(4, −3), S(−2, 5)
Q(−4, −3), S(2, 5)
Q(−4, 3), S(−2, 5)

Answers

The second option would be correct!

Answer:

The answer would be B!

Step-by-step explanation:

What is the length of DF?
F
За
IT
E
G
a +6
D
DF =

Answers

Answer:

  18

Step-by-step explanation:

Triangles FEG and DEG are congruent by SAS, so DG = FG.

  a+6 = 3a

  6 = 2a

  3 = a

  3a = 3·3 = 9 = FG = DG

DF = 9+9 = 18

The price of an item at the store can be defined by the variable w.

Based on this information, which of the options below represents a markup in price for that item? Select all that apply.


A)0.85w
B)0.92w
C)1.1w
D)1.15w
E)1.25w

Answers

Answer:

  C)  1.1w

  D)  1.15w

  E)  1.25w

Step-by-step explanation:

A markup is an added value. The effective multiplier of price will be greater than 1 when the markup is added. Such a multiplier is indicated in choices C, D, and E.

___

Choices A and B represent a markdown, or discount.

PLZ HELP URGENT GET THE BRAINLIEST AND MORE POINTS
an arithmetic sequence has sixth term 15 and ninth term 16. Find its common difference. determine which term has value 22.

Answers

Answer:

The 27th term is 22

Step-by-step explanation:

Let the first term is a and common difference is d.

The nth term is:

aₙ = a + (n - 1)d

We have:

a₆ = 15a₉ = 16

The difference of these terms is:

(a + 8d) - (a + 5d) = 16 - 153d = 1d = 1/3

Then the first term is:

a + 5*1/3 = 15a = 15 - 5/3 = 13 1/3

The nth term equation is:

aₙ = 13 1/3 + 1/3(n - 1) = 1/3n + 13

If the nth term is 22, find n:

1/3n + 13 = 221/3n = 22 - 131/3n = 9n = 9*3n = 27

What is an equation of the line that passes through the points (4, -1) and (-8, -7)?

Answers

Answer:

y=-1/2x - 3

I think this is it, its been a while though.

What do the following two equations represent?
9-3 = 2(x – 3)
y+5 2(+ 1)
Choose 1 answer:
The same line
ons
Distinct parallel lines
Perpendicular lines
Intersecting, but not perpendicular lines
HELP

Answers

Answer:

Intersecting but not perpendicular

Step-by-step explanation:

Assuming you forgot to add the = between y+5 and 2(1)

Since there is a opposite single variable in either equation the lines will intersect but not be perpendicular

I need help on this question it says Find the quotient 60÷5

Answers

60 divided by 5 would equal for your answer to be 12

The perimeter of a triangle is 56. The side lengths are x + 4, 3x + 7, and x + 9. What is the value of x?

Answers

Answer:x = 7.2Step-by-step explanation:Perimeter: Side 1 + Side 2 + Side 3=> x + 4 + 3x + 7 + x + 9 = 56=> 5x + 20 = 56=> 5x = 56 - 20=> 5x = 36=> x = 7.2Conclusion:

Therefore, the value of x is 7.2.

Hoped this helped.

[tex]BrainiacUser1357[/tex]

The number of students in a chess club decreased from 19 to 16. What is the percent decrease? Round your answer to the nearest percent. [The percent decrease is ___%.​]​

Answers

Answer:

it it went down 16%

Step-by-step explanation:

if you calculate it, 16 out of 19 points is 84%. this means that it went down 16%.

Answer:  16%

Explanation:

The decrease is 3 since 19-16 = 3. Divide this decrease value by the original count: 3/19 = 0.1579 = 15.79% = 16% approximately

The total number of gallons of water in a tank, w, after t minutes is given in the table and the graph below. What is an equation showing the relationship between w and t? A. w = 2t B. w = 2 + t C. w = 4t D. w = 4 + t

Answers

Answer:

C. w = 4t

Step-by-step explanation:

Let's examine the way t and w are related to each other, one point at a time starting with (0, 0). This point really doesn't tell us much, but we do know that this relationship must be proportional since any line that goes through the origin (the point (0, 0)) is proportional. we can rule out B. 2 + t and D. 4 + t since neither of these go through the origin. 2 + t goes through the point (0, 2) and 4 + t goes through the point (0, 4).

Now, we have two options left: A. w = 2t and C. w = 4t. Which one is correct? Well, let's look at the point (1, 4). 1 × 2 is not equal to 4, but 1 × 4 is equal to 4, so C. w = 4t must be the correct option.

We can test this on the rest of the points as well: 2 × 4 = 8 and 3 × 4 = 12. Hopefully that's helpful! If you have questions or need clarification on anything, let me know. :)

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