Mathematics High School

What is the standard deviation for the data given:
{12, 13, 29, 18, 61, 35, 21}

Answers

Answer 1

Answer:

15.866

Step-by-step explanation:

you would first find the mean of the data set by adding all the numbers together and dividing by the number of data points given (7 in this case).

12+13+29+18+61+35+21 = 189189/7 = 27

you would then use the mean to solve for the standard deviation by using the equation, σ=√Σ(x-μ)²/N.

first, subtract the mean from all the data points

12-27=-15, 13-27=-14, 29-27=2, 18-27=-9, 61-27=34, 35-27=8, 21-27=-6

then, square each calculated value from above

-15²=225, -14²=196, 2²=4, 9²=81, 34²=1156, 8²=64, 6²=36

then, add the squared values together

225+196+4+81+1156+64+36 = 1762

you would then divide 1762 by 7 (number of data values given orginally)

1762/7 = 251.714

finally, take the square root of 251.714 to find the standard deviation

[tex]\sqrt{251.714} = 15.866[/tex]
Answer 2
Standard deviation is 17.1

Related Questions

hi! please help i’ll give brainliest

Answers

Answers:

deposition of eroded materials

Step-by-step explanation:

the answer would be deposition from eroded material because of W.E.D ( weathering, erosion , and deposition )

Convert 29.5 kilograms to grams.

Enter your answer in the box.

Answers

Answer:

29,500 g

Step-by-step explanation:

1 kg = 1000 g.

29500

Step-by-step explanation:

29 multiplied by 1000 is 29k grams and if we add the .5 kilos which is basically 500 grams we get 29500 grams.

A chemical company mixes pure water with their premium antifreeze solution to create an inexpensive antifreeze mixture. The premium antifreeze solution contains 70% pure antifreeze. The company wants to obtain 140 gallons of a mixture that contains 20% pure antifreeze. How many gallons of water and how many gallons of the premium antifreeze solution must be mixed

Answers

Answer:

40 gallons of premium antifreeze and 100 gallons of water should be used to obtain 140 gallons of a mixture that contains 20% pure antifreeze.

Step-by-step explanation:

Since a chemical company mixes pure water with their premium antifreeze solution to create an inexpensive antifreeze mixture, and the premium antifreeze solution contains 70% pure antifreeze, and the company wants to obtain 140 gallons of a mixture that contains 20% pure antifreeze, to To determine how many gallons of water and how many gallons of the premium antifreeze solution must be mixed, the following calculation must be performed:

50 x 0.7 + 50 x 0 = 35

40 x 0.7 + 60 x 0 = 28

30 x 0.7 + 70 x 0 = 21

29 x 0.7 + 71 x 0 = 20.3

28.57 x 0.7 + 71.43 x 0 = 20

140 x 0.2857 = 40

Therefore, 40 gallons of premium antifreeze and 100 gallons of water should be used to obtain 140 gallons of a mixture that contains 20% pure antifreeze.

In Stacia's town, 60% of registered people vote
regularly. A spinner with equal-sized sections
numbered 0 to 9 can be used to represent those
who do and
do not vote.
a. What numbers can be assigned to represent
those who do vote and those who do not vote?

Answers

Answer:

6 Voted , 4 Not Voted

Step-by-step explanation:

10 sections, so 0.60 * 10 = 6 sections Voted

0.40 * 10 =  4 sections not Voted

PLEASE HELP IT'S URGENT!!!
The coordinate grid shows the graph of four equations:

A coordinate grid is shown from negative 12 to positive 12 on the x axis and also on the y axis. Line A passes through the ordered pairs negative 3, 4 and 9, negative 2. Line B passes through the ordered pairs 2, 8 and 8, negative 8. Line C passes through the ordered pairs negative 3, negative 4 and 4, 6. Line D passes through the points 2, negative 2 and 5 and 6.
Which set of equations has (1, 2) as its solution? (5 points)

Select one:
a. A and D
b. C and D
c. A and C
d. B and D

Answers

Answer:

C. A and C

Both pass by (1,2)

Find the area of that with explanations thanks

Answers

Answer:

900m or 300m

Step-by-step explanation:

45 x 20 = 900

30 x 10 = 300

The area is 1,200.

How to get your answer:
30x10= 300
45x20=900
900+300=1,200
I hope this helped you :)

Frederick and Fabricio enjoy catching Pokémon every day. They have developed different techniques of catching as many Pokémon as possible in an hour. Frederick represented the results of his catching techniques in the graph below, where the x-axis represents the time in hours and the y-axis represents the number of Pokémon in his pokeballs, while Fabricio decided to represent his results as the function f(t)=15t. After how many hours would Frederick have more Pokémon than Fabricio?

Answers

Answer:

sorry don't know what the answer is

Find the length of BC please

Answers

THE ANSWER WOULD BE 5.5

EXPLANATION: AB IS 2.5 and DC IS 8
2.5 - 8 = 5.5

Simplify the product. Write your answer in standard notation 2y(5y^2 + 3)

Answers

Answer:

10y^3+6y

Step-by-step explanation:

A game has 50 cards with 10 each numbered 1 to 5,and a player must draw a 2 or a 3 to move out of the "start" position.

Answers

Answer:

The question isn't complete, so I will assume that we want to find the probability of moving out of the start position.

First, we know that there is a total of 50 cards.

of these 50 cards, we have:

10 with the number 1

10 with the number 2

10 with the number 3

10 with the number 4

10 with the number 5

To move out of the starting position, we need to draw a 2 or a 3.

And we have 10 of each, then there are 20 cards that allow us to move out of the start position.

The probability of moving out of the starting position in the first draw, is equal to the quotient between the number of cards that allow us to move out of the starting position (20) and the total number of cards (50), this is:

P = 20/50 = 2/5 = 0.4

Find the diameter and circumference

6.2 mi

PLS HELP I NEED AN ANSWER PLS

Answers

Answer:

diameter: 2.4 mi

circumference = 38.96 mi

Step-by-step explanation:

d=2r=2·6.2=12.4

C=2πr=2·π·6.2≈38.95575

hey i’ll give brainliest please help

Answers

Answer:

I believe it would be C if not then im sorry

Step-by-step explanation:

Solve for x. The figure is a parallelogram

Answers

Answer:

x = 1

Step-by-step explanation:

The opposite angles in a parallelogram are congruent, then

94x + 1 = 95 ( subtract 1 from both sides )

94x = 94 ( divide both sides by 94 )

x = 1

Plot these numbers on the number line:
V2, V5, 3v8, v9, v15, 3v25

Answers

NosenxjjBzhajkakaajs

Someone plz help me I beg u plz I need this I’ll really appreciate it

Answers

Answer:

i cant see the words

Step-by-step explanation:

plzzzz help im stuck hurry pls

Answers

Answer:

x ≥ -2

Step-by-step explanation:

x is greater than or equal to -2

x≥ -2

the radius of a circle is (x-3)m. find the area of the circle

Answers

Answer:

πx² -6πx + 9π

or

π(x² - 6x + 9)

Step-by-step explanation:

area = πr² = π(x-3)² = π(x² - 6x + 9) = πx² - 6πx + 9π

Find KL pls fast correct answer

Answers

Answer:

14

Step-by-step explanation:

According to intersecting secants theorem:

KL*JL = ML²

Substitute values and solve for x:

(x - 1)(x - 1 + 7) = 12²(x - 1)(x + 6) = 144x² - 5x - 6 = 144x² - 5x - 150 = 0x² - 15x + 10x - 150 = 0x(x - 15) + 10(x - 15) = 0(x - 15)(x + 10) = 0x = 15x = -10 (ignored as negative)

Find the value of Kl

KL = x - 1 = 15 - 1 = 14

PLEASE HELP ME 15 POINTS

1- Which vehicle has the better gas mileage? Explain your reasoning using a line graph comparing the number of gallons to the number of miles covered.


2- Describe the graph:

Answers

I think you are missing some parts of the question
You have to add the background info for us to answer this

25 + (9 x 2) in this problem? What would you do first to solve?

Answers

Answer:

Solve what's in the parentheses

Step-by-step explanation:

You always solve what's in the parentheses first.

I would ask a question but half the mfkas on here have failed me so many tests. So I j want to let you guys know that you all are r e t a r t e d.

Answers

Answer:

please dont use the r slur :)) and if you care so much about your grades, heres an idea!! study on your OWN and dont rely on others

Step-by-step explanation:

What is the value of the expression (9 1/3)^3?

Answers

Answer:

rounded to the nearest hundredth the value is 813.04

Step-by-step explanation:

A 14-foot ladder is leaned against a wall. If the base of the ladder is 6 feet from the wall, how high up the wall will the ladder reach?

Round to the nearest tenth if needed.

Answers

Answer:

23

Step-by-step explanation:


. What are the two factors of 3x^2+
13x + 14

Answers

Answer: im pretty sure it is 3x and 13x

Step-by-step explanation:

pls mark brainlest

A box contains 20balls,x of which are white.if the probability of selecting a non white ball at random is 3/5.find the value of x​

Answers

Answer:

8

Step-by-step explanation:

So there are 20 balls.

3/5 of them are NOT white.

This means 2/5 of them ARE white.

So knowing this, lets find the number of white balls(x).

To do this, lets multiply the 20 total balls by the 2/5 of them that are white:

20/1*2/5

=

40/5

=

8

So we know that 8 of the balls are white!

Hope this helps! :)

Put these numbers in smallest to largest

Answers

3.07, 3.7, 3.77, 7.3, 7.33

3.07, 3.7, 3.77, 7.3, 7.33

5. The title of most cabinet members is?

general
secretary

Answers

Secretary is the title of most cabinet members

Answer:

Secretary seems like the most reasonable answer

Find the missing side of the triangle.
PLEASE NO LINKS- I WILL REPORT YOU.
Need help-
Thank you!!!

Answers

Answer:

11.7 cm

Step-by-step explanation:

Pythagoream Theorem:

[tex] {11}^{2} + {4}^{2} = {x}^{2} \\ 121 + 16 = {x}^{2} \\ 137 = {x}^{2} \\ \sqrt{137} = x \\ 11.7 = x[/tex]

Hope this helps!!

Which is the perimeter of the shape? (1 point)

Answers

Answer:

16 ft

Step-by-step explanation:

To find the perimeter of a square you must:

1. add all of the lengths together (4+4+4+4=16)

Have a great day.

16 because you just add 4<*<£|~£,*,%~>|>{~^?^?^?^?^\¥.

I need help with this problem

Answers

Answer:

y= x+1

y= x-5

There are 0 solutions because the lines will never intersect (which is due to their slopes being the same).

Step-by-step explanation:

Because we don't have any numbers we're supposed to esitmate, but the important thing to realize is that the slopes are identical

so let's say our equations are

x+1

x-5

2.)

There are 0 solutions because the lines will never intersect (because their slopes are the same)

Answer:

see explanation

Step-by-step explanation:

The solution to a system of equations given graphically is at the point of intersection of the 2 lines.

Therefore if the lines are parallel, they never intersect and hence there is no solution.

The lines given appear to be parallel and so there is no solution.

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