How to calculate standard deviation given mean and sample size?

Answers

Answer 1
In addition to mean and sample size you will need the individual scores.

The formula for standard deviation is:

S^2 = E(X-M)^2/N-1

Here's an example: 
Data set: 4,4,3,1
Mean: 3
Sample size: 4

First, put the individual scores one after the other and subtract the mean from it.
4 - 3 = 1
4 - 3 = 1
3 - 3 = 0
1 - 3 = -2

Second, square the answers you got from step 1. 
1^2 = 1
1^2 = 1
0^2 = 0
-2^2 = 4
Third, plug the values from step 2 into the formula. 

S^2 = (1+1+0+4)/(4-1) = 6/3 = 2

Standard deviation = 2

Related Questions

The three angles of a triangle are in the ratio 3:3:4. What information can you give about the triangle?

Answers

The information tells us that this triangle is an isosceles triangle meaning two sides and two angles are congruent. Also, this is not a right triangle as the only isosceles right triangle has a ratio of 1:1:2

Hope this helps!
let the angles be x.
3x + 4x + 4x = 180 (angle sum property of a triangle is 180 degrees.)
12x = 180
x = 180/12
x= 15
the angles are 45, 60 and 60
it is an isosceles triangle.

If Jessie is 24 years younger than her mother and if the sum of their ages is 84, how old is Jessie?

Answers

Jessis should be 18 years old.
Jessie would 60. You would subtract 80-24 which then equals 60.

BRAINLIESTTTTTTTTTTT!!

1. For the following system, if you isolated x in the second equation to use the Substitution Method, what expression would you substitute into the first equation?

2x + y = 8
−x − 3y = −12

3y + 12
−3y + 12
3y − 12
−3y − 12

2. please check my answer for the picture question

Answers

A is right hope this helps you can i get brailylist

2x + y = 8
−x − 3y = −12 → - x = 3.y - 12 → x = -3.y + 12. So I will substitude in the 1st equation, x by  -3.y + 12 (2nd answer)

2) you follow the same logic as previously done
and you will find 2x+4y ≥ -16. 
Isolate y → 4y ≥ - 2x - 16→→y ≥ - x/2 -4
1st you notice that it's a straight line (and not - - - ), then the equation should have ≥ (and not > )

2nd) It's decreasing that means a<0 (a= - 1/2)
3rd) for x = 0 ; y = -4
All that satisfies the equation y ≥ - x/2 -4 OR 2x+4y ≥ -16 (last answer)

A line goes through the point (6,–2) and has a slope of –3.
What is the value of a if the point (a,7) lies on the line?

Answers

y = mx + b
slope(m) = -3
(6,-2)...x = 6 and y = -2
sub and find b, the y int
-2 = -3(6) + b
-2 = -18 + b
-2 + 18 = b
16 = b
so ur equation for this line is : y = -3x + 16

(a,7)......so y = 7......" a "  is gonna be x

y = -3x + 16
7 = -3x + 16
7 - 16 = -3x
- 9 = -3x
-9/-3 = x
3 = x..........so " a " is gonna be 3 <===

The value of a in the point (a, 7) is 3

The slope intercept equation is as follows:

y = mx + b

where

m = slope

b = y-intercept

Therefore,

Let's find b using (6, -2)

m = -3

y = -3x + b

-2 = -3(6) + b

-2  = -18 + b

b = -2 + 18

b = 16

Therefore,

y = -3x + 16

let's find the value of a in (a, 7)

7 = -3x + 16

7 - 16 = -3x

-9 = -3x

x = -9 / -3

x = 3

Therefore,

a = 3

learn more: https://brainly.com/question/18851803?referrer=searchResults

I want to know the answer of this question

Answers

[tex]\bf \textit{circumference of a circle}\\\\ C=2\pi r\qquad \begin{cases} r=radius\\ -----\\ r=5x^2 \end{cases}\implies C=2\pi 5x^2\implies C=10\pi x^2 \\\\\\ \textit{area of a circle}\\\\ A=\pi r^2\qquad \begin{cases} r=radius\\ -----\\ r=5x^2 \end{cases}\implies A=\pi (5x^2)^2\implies A=\pi (5^2x^{2\cdot 2}) \\\\\\ A=\pi (25x^4)\implies A=25\pi x^4 [/tex]

Find the solution of the initial value problem. dp/dt=5e^t, p(0)=25

Answers

I hope this helps you!

The equation is  [tex]p = 5e^{t} +20[/tex].

Integration

It is a method of summing up parts to find the whole. It is a reverse process of differentiation.

Given

dp/dt=5e^t

To find

The value of p.

How to get the value of p?

dp/dt=5e^t is given

[tex]\begin{aligned} \dfrac{dp}{dt} &= e^{t} \\\int dp &= \int {5e^{t} } \, dt \\\int dp &= 5 \int {e^{t} } \, dt \\p &= 5e^{t} +c\\\end{aligned}[/tex]

It is given that at t=0, p will be 25, then

[tex]p = 5e^{t} + c\\c = p - 5e^{t}\\c= 25 - 5e^{0}\\c= 25 - 5 * 1\\c= 20[/tex]

Hence the equation will be [tex]p = 5e^{t} +20[/tex].

Thus, the equation is  [tex]p = 5e^{t} +20[/tex].

More about the integration link is given below.

https://brainly.com/question/18651211

How do you find the median of these numbers $17.49, $11.29, $16.89, $11.79?

Answers

Good morning, kid. It's quite easy.

The median is the middle number in a set after you place them least to greatest:

$11.29, $11.79, $16.89, $17.49

Well, since the numbers in the set are even, meaning there are only 4 numbers, we pick out the 2 middle numbers which would be, $11.79 and $16.89. Find the average (add them and divide by 2) and you'll get the median.

$11.79 + $16.89 = $28.68/2 = $14.34
Thus, the median is: $14.34

Translate this sentence into an equation.

The sum of 14 and holly's age is 55.

Use the variable h to represent holly's age.

Answers

55=h+14
H+14=55
55-14=H

Final answer:

The sentence 'The sum of 14 and Holly's age is 55' can be translated into the equation 14 + h = 55, where h represents Holly's age.

Explanation:

To translate the sentence into an equation, we identify the mathematical operations described by the sentence. The sentence 'The sum of 14 and Holly's age is 55' indicates an addition operation involving Holly's age and the number 14. Using the variable h for Holly's age, we form the equation 14 + h = 55. This is a simple linear equation where h represents an unknown value that can be solved for.

What is the y-coordinate of the vertex of the parabola that is given by the equation below?x = -2.5(y - 3)2 + 5?

Answers

The answer is y = 4 - 0.2x

What is the scale factor use to create this dilation?

Answers

Given Info: "The dashed triangle is the image of the solid triangle"

So the "before" is the large solid triangle and the "after" is the smaller dashed triangle.

The horizontal side of the solid triangle is 15 units. The corresponding side for the dashed triangle is 3 units. Dividing the two values gives: 3/15 = 1/5 = 0.2

Make this value negative. The reason why is due to the fact that we have a sort of reflection going on as we're scaling down the figure. 

So the final answer is  -0.2

What is 781,407 rounded to the nearest ten thousand What is 781,407 rounded to the nearest ten thousand?

Answers

781,41 is the correct answer

On Saturday,miguel biked 36 kilometers in 2 hours. What was his average rate of speed in kilometers per hour?

Answers

To do that use the equation v=d/t and plug in your given values.
v=36/2
v=18km/hr

The average rate of speed of Miguel when he biked on Saturday given the distance and time is 18 kilometers per hour.

What is the average speed?

Average speed is the rate at which an object moves with respect to time. Average speed is determined by dividing total distance travelled by time.

Average speed = total distance / time

36 / 2  = 18 kilometers per hour.

To learn more about average speed, please check: https://brainly.com/question/21734785

#SPJ2

n2-14n+49 what’s the answer

Answers

(n-7) (n-7) will be your answer

n x n = n²

n x -7 = -7n
n x - 7 = -7n
-7n +(-7n) = -14n
-7 x -7 = 49

(n-7)²  is your answer

hope this helps

and if you are doing the other thing

n = 7, 7

hope this helps
a+b=14 anda*b = 49 The solution to this new system of equations is a=7, b=7. original expression is (n+7)(n+7), or (n+7)^2. *As always meaning when the coefficient of n^2 is 1. When the coefficient is 2+, it's not as simple but the same idea hope this helps

PLEASE HELP!!!!!!!!!!!
Whats the value of x?
4x=5x-12
x=

Answers

4x = 5x - 12 
4x - 5x = -12
-x = -12
x = 12

Jason started a hat-making business. He spent $750 to purchase supplies to get started and he uses about $3.50 worth of supplies per hat made. Jason charges $15 for each hat. Let h represent the number of hats.

What is the minimum number of hats Jason will need to sell to make a profit?



A. 15h>750+3.5h

B. 3.5h≥750+15h

C. 3.5h>750+15h

D. 15h<750+3.5h

Answers

 the answer is 3.5h>750+15h

What does it mean if the determinant of a matrix is 0?

Answers

It means that it is not invertible. In other words, if a matrix has a determinant of 0, there is no inverse of the matrix.

In linear algebra (university level course), having a determinant of 0 would mean a lot more.

Have an awesome day! :)

Final answer:

The determinant of a matrix is 0 means the matrix is singular, indicating no unique solution for the corresponding system of equations, or in geometry, that space is compressed to a lower dimension.

Explanation:

When the determinant of a matrix is 0, it signals that the matrix does not have an inverse and is considered singular. In practical terms, this means that the system of equations that corresponds to the matrix does not have a unique solution. For instance, in a square matrix, if the determinant is zero, it may indicate that the rows or columns are linearly dependent, meaning that at least one row or column is a scalar multiple of another, resulting in redundant information. In geometry, if we're dealing with transformation matrices, a determinant of zero implies that the transformation compresses the space into a lower dimension, effectively 'flattening' it, and thus, the original geometrical figure loses its volume.

vector is flying his helicopter at 200 miles per hour. how long has he been flying if he has traveled 1,200 miles? A. 2 hours B. 60 hours C. 6 hours D. 10 hours??? please help

Answers

6 hours, because 1,200 divided by 6 is 200. Think about it at 200 mph it will take you 1 hr to go 200 miles two hours will be 400 miles and so on. Does that make sense?
C 6hours because the helicopter can cover 200miles in an hour so if you want to find out 1200 miles all you need to do is divide 1200 by 200 which gives you an answer if 6 xx

Given that we have already tossed a balanced coin ten times and obtained zero heads, what is the probability that we must toss it at least two more times to obtain the first head

Answers

Final answer:

The probability that at least two more coin tosses are required to get the first head, after ten tails in a row with a balanced coin, is 50%.

Explanation:

The student is asking about the probability of a specific outcome in a sequence of coin tosses. Given that we have already tossed a balanced coin ten times and obtained zero heads, we want to calculate the probability of having to toss the coin at least two more times to get the first head. The probability of getting a head on any given coin toss is 0.5. To get the first head in at least two more tosses means we need a tail (T) on the next toss and then any outcome (H or T) after that. Therefore, we calculate the probability as follows:

The probability of getting a tail on the first toss is 0.5.The probability of getting any outcome on the second toss is 1 (since it can be either head or tail).

The combined probability is the product of the two individual probabilities, which is 0.5 * 1 = 0.5 or 50%. Hence, the probability that we must toss the coin at least two more times to obtain the first head is 50%.

Which number below best represents a temperature of 59.18 degrees above zero? A. -69.18 B. 69.18 C. 59.18 D. -59.18

Answers

C is that answer to your question. I know this because it’s aboce zero so it’s not a negative number

Unknown angle measures?

Answers

d = 122 - 72
d = 50

180 - (50 + 72)
= 180 - 122
= 58

e = 180 - (72 + 58)
e = 180 - 130
e = 50

answer
d = 50
e = 50


Question 9
If x is a small negative integer and y is a large positive integer, which of the following expressions must be positive?
A x * y
B y − x
C y ÷ x
D x ÷ y

Answers

Since x is negative, substitute -x in for x and look for something that would be positive all the time.
A) -x * y = negative
B) x + y = positive, making B the answer

Please help! 20 points!

Answers

12/3 = 4

 it was dilated with a scale factor of 4

write a word phrase for each algebraic expression

1. 100 - 5n

2. 25r + 6

Answers

Problem
Write a word phrase for each algebraic expression

Result
1. Five times a number minus one-hundred
2. Twenty-five times a number plus six

Solution
I recommend watching videos on turning algebraic expressions into word phrases. Try and figure out why the answer is the way it is. 

find the median of the data set: -66, -48, -52, -42

Answers

-66, -52, - 48, -42


If you can have 2 medians (since there is only 4 numbers), it is -52 and -48

If you can only have one,then i believe you choose -50, because it is in between -48 and -52

hope this helps

Which of the following is NOT equivalent to the ratio: 12/4 A.6/2 B. 36/12 C.24/16 D.240/80

Answers

12 multiplied by 2 is 24. 4 multiplied by 2 is 8. Therefore 24/16 is not equal to 12/4

Two buses are traveling to a state park. One bus leaves the terminal at 4:00 p.m. and travels at 40 miles per hour. The second bus leaves the terminal at 5:00 p.m. and travels at 60 miles per hour.

How much time passes until the second bus catches up with the first bus?

Answers

Final answer:

The second bus catches up with the first bus in 2 hours.

Explanation:

To calculate how much time passes until the second bus catches up with the first bus, we need to find the distance between them when the second bus starts and the relative speed between the two buses.

When the second bus starts, the first bus has already traveled for 1 hour (from 4:00 p.m. to 5:00 p.m.) at a speed of 40 mph. Therefore, the first bus has covered a distance of 40 miles.

The relative speed between the two buses is the difference in their speeds, which is 60 mph - 40 mph = 20 mph.

Using the formula: t = d / v, where t is the time, d is the distance, and v is the speed, we can calculate the time it takes for the second bus to catch up with the first bus:

t = 40 miles / 20 mph = 2 hours.

Therefore, it takes 2 hours for the second bus to catch up with the first bus.

A sample of 36 is drawn from your population and a sample mean of 86 is computed. is this sample mean in the extreme 5% or the middle 95 %

Answers

36 times .86 gives you the anser

The sum of three numbers is 62. The second number is equal to the first number diminished by 4. The third number is four times the first. What are the numbers? Which three expressions could be used to represent the numbers? n; n - 4; 4n n; 4 - n; n + 4 n; n/4; n + 4

Answers

n = first number
2nd number = n diminished by 4.....n - 4
3rd number is 4 times the first.....4n

ur 3 expressions are : n , n - 4, 4n <==

Answer:

Numbers: 11, 7 and 44

Expressions: n, n - 4, 4n

Step-by-step explanation:

We have that A + B + C = 62, where A, B and C represent numbers.

We know that the 2nd number (B) is equal to the first number (A), diminished by 4. This means B = A - 4  

We also know that the 3rd number (C) is four times the first (A), that is to say 4*A. This means C = 4*A

If we replace this information in the first expression, we have

A + B + C = A + (A - 4) + (4*A) = 62

We change an equation of 3 variables to an equation of just one. Now we solve it putting together the terms that have the variable A:

A + A - 4 + 4*A = 62

2A + 4A - 4 + 4 = 62 + 4

6A = 66

A = 11

Our first number is 11, now we find B and C:

B = A - 4 = 11 - 4 = 7

C = 4A = 4*11 = 44

So, the numbers are 11, 7 and 44

If we change the A for a "n", the expressions that represent the numbers are n, n - 4 and 4n

what number would you add to both sides of x^2-20x=5 to complete the square

Answers

100

you take the middle term and divide it by 2, then square it

solve for y: 7/9y = 42

Answers

I answered on paper hope that is alright with you. I just find it easier for math problems. That slash means two numbers cancel each other out. What's in the box is the answer and the proof that it's right is underneath.
7/9y=42

Take the denominator and multiply it by the whole. 9*42=378

Then take your answer and divide it by the numerator. 378/7=54

To check your work just simply multiply 7/9 * 54 = 42
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