Find the standard deviation of the data set below. Round to the nearest tenth,
6, 5, 2, 5,8

Answers

Answer 1

Answer:

The standard deviation = 1.9

Step-by-step explanation:

standard deviation, ρ = sqrt ( [tex]\frac{sum(x_{i} - u)^{2} }{N}[/tex])

Where u is the mean of the data, [tex]x_{i}[/tex] each given value, and N is the number of data given.

Mean, u = [tex]\frac{6+5+2+5+8}{5}[/tex]

              = 5.2

So that;

[tex](6-5.2)^{2}[/tex]  = [tex](0.8)^{2}[/tex] = 0.64

[tex](5-5.2)^{2}[/tex] = [tex](-0.2)^{2}[/tex] = 0.04

[tex](2-5.2)^{2}[/tex]  = [tex](-3.2)^{2}[/tex] = 10.24

[tex](5-5.2)^{2}[/tex] = [tex](-0.2)^{2}[/tex] = 0.04

[tex](8-5.2)^{2}[/tex] = [tex](2.8)^{2}[/tex] = 7.84

Sum = 18.8

So that;

[tex]\sqrt{\frac{18.8}{5} }[/tex]  = [tex]\sqrt{3.76}[/tex]

          = 1.9391

          = 1.9

The standard deviation of the given data is 1.9


Related Questions

You deposit $400 Into a bank account. The account pays 2.75% annual interest compounded semi-annually. Find the balance after 5 years

Answers

Answer:

$452.56

Step-by-step explanation:

400 * 1.025^(5)

2−4(5p+1) Simplify to create an equivalent expression.

Answers

Answer:

2-20p-4 = -20p-2

Step-by-step explanation:

Answer:

- 20p - 2

Step-by-step explanation:

Given

2 - 4(5p + 1) ← distribute parenthesis

= 2 - 20p - 4 ← collect like terms

= - 20p - 2

the sum of two consecutive numbers divided by their positive difference difference is equal to nine find the larger number​

Answers

Answer:

the number is 5

Step-by-step explanation:

the difference between any two consecutive numbers is just 1.

so, x + x+1 = 9

x = 4

the next number is 5

pls mark brainliest

The perimeter of a rectangular field is 242 m . If the length of the field is 66 m, what is its width?

Answers

Answer: 55
66+66+55+55=242

Select the correct answer.
The surface area (SA) of a cube with a as the length of each of its sides is given by the formula SA = 6a2. If the surface area is known, how can
you rewrite the formula to find its side?
ОА va
OB. VSA
OC a = $
OD. =

Answers

Answer:

(A). [tex]\sqrt{\frac{SA}{6} }[/tex]

Step-by-step explanation:

Please guys I need help

Answers

[tex]8000 \: pounds \times \frac{1 \: ton}{2000 \: pounds} = 4 \: tons[/tex]

[tex]7 + 4 = 11 \: tons[/tex]

You buy 5 candy bars for $2.00. Find the cost of 18 candy bars? First
write a proportion to find the unit rate(price per one candy bar). Then use
the unit rate to to find the cost of 18 candy bars?

Answers

Answer- $7.50

Step-by-step explanation: edg

Find the area of the figure.
(Sides meet at right angles.)
6 cm
2 cm
2 cm
2 cm
2 cm
2 cm
2 cm
2 cm

Answers

Answer:

paso a paso

Step-by-step explanation:

tienes que saber cuanto bale o la equivalencia de cm 10 haci que

tienes que multiplicar 5 x10 igual con los de mas si te sirvio apoyame plsssss

Which perfect squares does the number 104 falls in between?

Answers

Answer:

12

Step-by-step explanation:

Answer:

12 because  12, 24, 36, 48, 60, 72, 84, 96, 104

Step-by-step explanation:

Canada was once a British colony. Based on the information presented in the movie, what can you infer about Canada?

Answers

Answer:

In 1763, Canada formally became part of British Empire. The colony of Canada was enlarged under the province of Quebec.

Step-by-step explanation:

Modern day Canadian province was once British Colony. In 1949, Newfoundland became part of Canada instead of British Colony. The information presented in the movie is about the British Empire that governed the Canadians. After the free from British rule Canada was free to act in his own way in the country. The country also gained financial independence.

% of 25 shirts is 8 shirts.

Answers

the answer is 32% KSJDSJJDJDJD

Answer:

32% of 25 is 8

Step-by-step explanation:

Answer the photo below thanks

Answers

Answer:

C. 36 degrees

Step-by-step explanation:

90 + 54 = 144

180 - 144 = 36

you were correct

A triangle’s angles add up to 180.

180 - 90 - 54 = 36.

You selected the right answer.

how do i solve these using substitution

Answers

Answer:

Step-by-step explanation:

point form:

(3,4)

equation form:

x= 3,  y= 4

Which of the following options have the same value as 40%, percent of 84?
Please Answer ASAP

Answers

Answer:

40% of 84 is 33.6

Step-by-step explanation:

What is the measure of Angles are not necessarily drawn to scale.

Answers

x is 58° (your welcome:)

Answer: 58

Step-by-step explanation:

180-114= 66

66+56=122

180-122= 58

pease say if i got it right

Answers

Answer:

It is not correct. It should be A.

Step-by-step explanation:

u can use desmos to check ur answer

Yep here we go again:

The x-axis represents the number of hours before or afternoon, and the y-axis represents the temperature in degrees Celsius.


At 9 a.m., it was below freezing. In what quadrant would this point be plotted? Use Roman Numerals in your answer: Either I, II, III, or IV


At 11 a.m., it was 10 degrees Celsius. In what quadrant would this point be plotted?

Here is the image T ^ T ( I will also give brainliest!)

Answers

Answer:

9 am it will be IV quadrant

11 it will be I quadrant

hope it helps u

If at 9 a.m. the temperature was below freezing, which means below 0 degrees Celsius, then the point would be plotted in the third quadrant (III).

What is coordinate plane?

The coordinate plane has four quadrants, which are numbered using Roman numerals I, II, III, and IV, and they are separated by the x-axis and y-axis.

In this case, the temperature was below freezing at 9 a.m., which means it was less than 0 degrees Celsius.

The point would be plotted in the third quadrant (III), where the x-value is negative and the y-value is negative, because the x-axis represents the time in hours before noon and the temperature is negative.

At 11 a.m., however, the temperature was 10 degrees Celsius, which is a positive value.

Thus, the point would be plotted in the first quadrant (I), where both the x-value and the y-value are positive, because the x-axis represents the time in hours before noon and the temperature is positive.

For more details regarding coordinate plane, visit:

https://brainly.com/question/13611766

#SPJ2

-4x + 8x - 6x
i don’t know what x is and that’s all i have. if anyone can help it would be helpful. the other questions are-
-3n/8 + 2n/8 - n/8

-4a - a/3

5b/8 + -2b/3

Answers

Answer:

The answer are

[tex]34 = - 2x \\ 35 = - \frac{1}{4} n \\ 36 = - \frac{13}{3} a \\ 37 = - \frac{1}{24} b[/tex]

Simplify the mathematical expressions and arrange them in order of their values from least to greatest. ↓ ↓ ↓ ↓

Answers

Answer and Step-by-step explanation:

To simplify algebraic expressions, follow the basic rules:

1. Remove brackets or parentheses by multiplying factors;

2. Use exponent rule to remove grouping, if terms have exponents;

3. Add or subtract like terms;

4. Combine constants;

In the expressions above, there only constants and scientific notations, i.e., exponents elevated on a base 10. So, to simplify, we multiply the numbers and add the exponents:

(4.27 x 10⁸)(9.2 x 10⁻⁵) = 39.28 x 10³

(6.96 x 10⁵)(8.43 x 10⁻²) = 58.67 x 10³

[tex]\frac{(7.25.10^{5})(9.36.10^{-7})}{(7.95.10^{-2})(4.13.10^{-3})}=[/tex] 2.07 x 10³

[tex]\frac{(8.32.10^{4})(9.67.10^{1})}{(7.56.10^{11})(5.79.10^{-8})}[/tex] = 1.84 x 10²

[tex]\frac{(1.89.10^{4})(5.92.10^{3})}{(2.74.10^{-2})(4.67.10^{2})}=[/tex] 0.875 x 10⁷

All the exponents are positive, which means, comma "moves" to the right.

The numbers arranged from least to greatest will be

1.84 x 10² < 2.07 x 10³ < 39.28 x 10³ < 58.67 x 10³ < 0.875 x 10⁷

Find the length of the third side. If necessary, write in simplest radical form

Answers

Answer:

4^2 + 6^2 = x^2

Step-by-step explanation:

Pythagorean theorem is used. Solve for x.

Consider the line 8x+6y= 7.
What is the slope of a line parallel to this line?
What is the slope of a line perpendicular to this line?

Answers

The slope of a line parallel to this line is -4/7
And the slope of a line perpendicular is 3/4

A triangle with vertices (0,0), (3,6), (7,4) is dilated by a factor of 3 with its center at the origin.

Answers

Answer:

[tex]A' = (0,0)[/tex]

[tex]B'= (9,18)[/tex]

[tex]C'= (21,12)[/tex]

Step-by-step explanation:

Given

[tex]A= (0,0)[/tex]

[tex]B= (3,6)[/tex]

[tex]C= (7,4)[/tex]

[tex]k = 3[/tex] -- dilation factor

Required

Determine the coordinates of the new triangle

This is calculated using:

[tex]New = Old * k[/tex]

So, we have:

[tex]A' = A *3[/tex]

[tex]A' = (0,0) *3[/tex]

[tex]A' = (0,0)[/tex]

[tex]B' = B * 3[/tex]

[tex]B'= (3,6)*3[/tex]

[tex]B'= (3*3,6*3)[/tex]

[tex]B'= (9,18)[/tex]

and

[tex]C' = C * 3[/tex]

[tex]C'= (7,4)*3[/tex]

[tex]C'= (7*3,4*3)[/tex]

[tex]C'= (21,12)[/tex]

Amjed has 223 cards in his trading card collection. Latif has
8.741 cards in his trading card collection. Using the orders of
magnitude, about how many times more trading cards does Latif
have than Amjed?

Answers

Answer:

The orders of magnitude are numbers of the form:

10^n

where n can be any integer number.

So we can write something like:

"A is n orders of magnitude above B

Now we have the quantities:

Amjed cards = 223

Latif cards = 8741

We want to find how many times more trading cards does Latif  have than Amjed.

Then we need to look at the quotient between the number of cards of Latif and Amjed.

8741/223 = 39.2

Now we need to approximate this to the nearest 10^n number.

(..., 0.1, 1, 10, 100, 1000, ...)

The nearest one to 39.2 is 10.

So we can say that Latif's collection is 10.

and 10 = 10^1

then n = 1

Then we can say that Latif's collection is one order of magnitude above Amjed's collection.

Write an inequality relating m

Answers

i’m pretty sure it’s d

4. If you buy 7 hamburgers and 3 slices of pizza from the Sizzler, you get Sl in change back from a

$20 bill. If you buy 8 hamburgers and 2 slices of pizza, you get $0.50 back from a $20 bill. Find

the price of a hamburger and the price of a slice of pizza.

Answers

Answer:

the price of a hamburger and the price of a slice of pizza is $0.5 and $7.75 respectively

Step-by-step explanation:

Let us assume the price of a hamburger be x

And, the price of a slice of pizza be y

So the equations are

7x + 3y = 20-1

7x + 3y = 19........(1)

And,

8x + 2y = $19.50........(2)

Now multiply by 2 in equation 1 and 3 in equation 2

So,

14x + 6y = 38

16x + 6y = 39

-2x = -1

x = 0.5

so y =

4 + 2y = $19.50

2y = $19.50 - 4

y = 7.75

Hence, the price of a hamburger and the price of a slice of pizza is $0.5 and $7.75 respectively

The sail of a boat is in the shape of a right triangle. Which expression shows the height, in meters, of the sail?

The sail of a boat is a right triangle with an acute angle equal to 35 degrees and the side of the sail which is the hypotenuse to the right triangle is 8 meters long.

cosine 35 degrees over 8
8(tan 35°)
tangent 35 degrees over 8
8(cos 35°)

Answers

Answer:

8(cos35)

Step-by-step explanation:

Your welcome.

The expression that models the height is  8 cos35

SOH CAH TOA identity

From the given information, we have the following

Hypotenuse = 8metersHeight  = adjacent

Using the SOH CAH TOA identity

cos theta = adj/hyp

cos 35 = adj/hyp

cos 35 = adj/8

Hyp  = 8 cos35

Hence the expression that models the height is  8 cos35

Learn more on SOH CAH TOA here: https://brainly.com/question/22307176

What is the simplified form of this expression? (-3x2 + x + 5) − (4x2 − 2x) A. 7x2 + 3x − 5 B. -7x2 + 3x + 5 C. X2 − x + 5 D. -x2 + 3x − 11

Answers

The correct answer is B. Combine like terms.

Damon bought a girl he likes chocolate for valentines day. After tax they cost $13.60. If tax was 8.5%, what was the cost of the chocolate before tax?

Answers

Answer:

$12.53

Step-by-step explanation:

13.60 / 1.085 = 12.53

Answer:

13.50×8.5%=1.1475

13.50

-1.60=

-8= -4+x
Solve for x

Answers

Answer:

-4 + x = - 8

x = - 8 +4

x = - 4

hope it helps :-

Answer:

-4=x or x=-4

Step-by-step explanation:

Move -4 to the other side by adding 4 on both sides:

-8+4=4-4+x

-4=x or x=-4

Hope this helps!

m + 1 = 8

But what’s the m=__

Answers

Answer:m= 7.

Step-by-step explanation: first you do 8-1. 8-1 gives you 7. Therefore m=7

Answer: m = 7

Explanation: When you're asked to solve for m in an equation, what you're really being asked to do is to get m by itself on one side of the equation.

In this problem, since 1 is being added to m, in order to get m

by itself, we must subtract 1 from the left side of the equation.

If we subtract 1 from the left side of the equation, remember that

we must also subtract 1 from the right side of the equation.

So on the left, +1 and -1 cancel each other out

and on the right, 8 - 1 simplifies to 7.

So m = 7.

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