Calculate the variance and the standard deviation for the following sample data. Scores: 7, 9, 0, 1, 7, 4, 4, 7, 6

Answers

Answer 1

Answer:

Variance = 9

Standard deviation = 3

Step-by-step explanation:

Step 1

Find the Mean

Means = Sum of values/Number of values

= 0 + 1 + 4 + 4 + 6 + 7 + 7 + 7 + 9/9

= 45/9

= 5

Step 2

The formula for Sample variance

= (x - Mean)²/n - 1

Where

n = number of values = 9

Hence:

Sample variance =

( (0 - 5)² + (1 - 5)²+ (4 - 5)² + (4 - 5)² + (6 - 5)² + (7 - 5)² + (7 - 5)² + (7 - 5)² + (9 - 5)²)/9 - 1

= (-5² + -4²+ -1² + -1² + 1² + 2² + 2² + 2² + 4²) /8

= (25 + 16 + 1 + 1 + 1 + 4 + 4 + 4 + 16)/8

= 72/8

= 9

Sample Standard deviation = √Sample variance

= √9

= 3


Related Questions

Help i dont know how to do this type of questions​

Answers

Answer:

x = 28°

y = 23°

Step-by-step explanation:

5y - 4 + 3y = 180

solve for y

8y = 184

y = 23

3y and 2x + 13 are equal

solve for x now that we know y is 23.

3(23) = 2x + 13

69 = 2x + 13

56 = 2x

28 = x

Answer:

y=23 x=28

Step-by-step explanation:

5y-4 + 3y =180⁰

8y-4=180

8y=184

y=23

3y=2x+13

69=2x+13

-13 -13

56=2x

28=x

Hope this is helpful. good luck

A garden flower grows a total of 10 cm in July and August. Assuming that the flower grows at a consistent rate for a full year, how much will the flower grow in a year?

Answers

9514 1404 393

Answer:

  60 cm

Step-by-step explanation:

July and August are 2 of the 12 months in the year. The growth for the year can be expected to be 6 times the growth in a 2-month period, so 60 cm.

_____

You could get down to particulars as to the number of days in those two months versus the total number of days in a year. You would have to specify whether it is a leap year. In a non-leap year, the growth might be ...

  365/(31+31) × 10 cm ≈ 58.9 cm

In a leap year, it would be 59.0 cm.

What is the quotient of (2m4 +21m3 + 35m2 – 37m +45) = (2m + 7)?

Answers

Answer:

3rd option is the answer

Step-by-step explanation:

hope u understand

What’s the answer and how do you figure these out?

Answers

you need to find the value of x that will make 4x = 2x (or in mathematical terms parallel. therefore the answer would be 0 since there is no other possible answer. hope this helps <3 make sure you eat today !

A right circular cone is a radius 5 inches and height 8 inch

Answers

[tex]\huge{ \mathcal{  \underline{ Answer} \:  \:  ✓ }}[/tex]

The given values are :

height (h) = 8 in

radius (r) = 5 in

We know,

[tex] \large\boxed{ \mathrm{slant \: \: height} = \sqrt{h {}^{2} + r {}^{2} } }[/tex]

[tex]l = \sqrt{ {h}^{2} + r {}^{2} } [/tex]

[tex]l = \sqrt{8 {}^{2} + {5}^{2} } [/tex]

[tex]l = \sqrt{64 + 25} [/tex]

[tex]l = \sqrt{89}[/tex]

Now,

[tex] \large \boxed{\mathrm{lateral \: \: surface \: \:a rea } = \mathrm{\pi rl}}[/tex]

[tex]\pi \times 5 \times \sqrt{89} [/tex]

[tex] \mathrm{5\pi \sqrt{89 } \: \: in {}^{2} }[/tex]

Therefore the correct answer is :

D. 5π√89 in²

_________________________

[tex]\mathrm{ ☠ \: TeeNForeveR \:☠ }[/tex]

The lateral surface area of the cone with a radius 5 inches and height 8 inch is 5(√89)π square inches

How to calculate the lateral area of the cone?

The formula for calculating the lateral area of the cone is expressed as:

V = 1/3πr²h

where:

r is the radiush is the height

Given the following

r = 5in

h = 8n

Substitute

L = πrl
L = 5π(√8^2+5^2)
L = 5π(√89)

Hence the lateral surface area of the cone with a radius 5 inches and height 8 inch is 5(√89)π square inches

Learn more on lateral area here: https://brainly.com/question/1601740

The measure of an angle is 32.3°. What is the measure of its complementary angle?

Answers

A complementary angle is 90 degrees .

Answer:

57.8 degrees

Step-by-step explanation:

Complementary angles are angles that add up to 90 degrees so you take 32.3 and figure what plus 32.3 equals 90



The graph of f(x) = x2 + x - 6 is shown below.
What are the solutions to f(x) = x2 + x - 6 PLEASE HELPPP

Answers

Answer:

the solutions of a function are the points where for some value of x the function becomes zero

thus the solns for this graph would be

-3 , 2

that's option 1.

Help!!!!!!!!!!! !!!!!

Answers

Answer:

D. 3900π

Step-by-step explanation:

volume = 1/3 πr²h   ... r = 30,  h = 13

v = 1/3 * 30² * 13 * π = 3900π

a number b divided by 3 is 6 less than a number c

Answers

I think it is 18. With the information given I would guess 18.

Answer:

b/3 = c - 6

Step-by-step explanation:

A number b divided by 3 is 6 less than a number c

b/3 = c - 6

DO NOW
1)_Write an equation that represents the
line whose slope is 5 and has a (-2,4) on
the line.

Answers

Answer:

y=5x+14

Step-by-step explanation:

Plug this into the equation y-y1=m(x-x1) where m is the slope. y1 is equal to 4, x1 is equal to -2, and m is equal to 5. This will make the equation y-4=5(x--2). This is equal to y-4=5(x+2). Use the distributive property to get y-4=5(x)+5(2). Simplify to get y-4=5x+10. We want to isolate y so we have to add 4 to both sides. This will be equal to y=5x+10+4. Combine like terms to get y=5x+14. Therefore, the equation is y=5x+14.

If this helps please mark as brainliest

I want to purchase a pair of sneakers for the summer. Champs and Footlocker
are selling the same pair of sneakers, but with different promotions. Champs
is offering a 25% off coupon and charging a tax of 8%. Footlocker is offering a
20% off coupon, but is not charging any tax.
If the sneakers have an original price of $80, where should I buy them
from if I want to spend the least amount of money?

Answers

Answer:

Champs is 64.8, Footlocker is 64. Footlocker is selling them for cheaper. You would go to Footlocker, as it's .8 off.

conducted an experiment with orange, purple and blue colored lights to grow spinach. During their experiment, they conducted a chi-square analysis. Their chi-square sum was 0.85. If their sum is less than the probability value, then their data fits their experiment to reject the null. If their sum is greater than the probability value to, then their data does not fit their experiment to accept the null. What was the conclusion of the data results for their experiment

Answers

Answer:

There is not enough evidence to reject the null hypothesis.

Their sum is greater than the probability value ,  the data does not fit the experiment and the null is  accepted.

Step-by-step explanation:

There are 3 colors so degrees of freedom = 3-1 = 2

The chi square value = 0.85

The p value for chi square =0.85 for 2 degrees of freedom for the left tailed test to be 0.34623 for 0.1,0.05 and 0.01 significance level.

There is not enough evidence to reject the null hypothesis.

The  p value for chi square =0.85 for 2 degrees of freedom for the right tailed test to be 0.65377 for 0.1,0.05 and 0.01 significance level.

There is not enough evidence to reject the null hypothesis.

Their sum is greater than the probability value ,  the data does not fit the experiment and the null is  accepted.

what is 1/4 +1/4+1/2+1/4+1/2+1/8+1/8+1/2+1+1+1/4 simplified!!!!!

Answers

Answer:

[tex]4\frac{3}{4}[/tex]

4.75

Step-by-step explanation:

0.25 + 0.25 + 0.5 + 0.25 + 0.5 + 0.125 + 0.125 + 0.5 + 1 + 1 + 0.25

0.125 + 0.125 = 0.25

0.25 + 0.25 + 0.25 + 0.25 = 1

0.5 + 0.5 + 0.5 = 1.5

1 + 1 = 2

0.25 + 1 + 1.5 + 2

4.75

Answer:

The answer is 4 3/4

           Hope this helps! good luck :)

Kyle is studying migration patterns of birds. Specifically, he is comparing the distance travelled by geese and the distance travelled by pelicans in a year. Do geese travel significantly more distance than pelicans do?

Geese Pelicans
M = 191 miles M = 190 miles
n = 61 n = 61
s = 1.429 s = 1.355

Required:
a. State the null and alternative hypotheses in words.
b. Locate the critical value that defines the critical region.
c. Calculate your statistic.
d. Make a decision with respect to the null.
e. Write a concluding statement in everyday language.

Answers

Answer:

H0 : μ1 - μ2 = 0

H0 : μ1 - μ2 > 0

Test statistic = 3.96

Critical value = 1.67

Reject H0

We can conclude that there is significant evidence to support the claim that geese do travel more Than pelicans

Step-by-step explanation:

M= xbar1 = 191 ; M = xbar2 = 190 miles

n1 = 61 n2 = 61

s = 1.429 ; s2 = 1.355

Hypothesis :

H0 : μ1 - μ2 = 0

H0 : μ1 - μ2 > 0

Test statistic :

(x1 - x2) ÷ √[(s1²/n1) + (s2²/n2)]

(191 - 190) ÷ √[(1.429²/61) + (1.355²/61)]

1 ÷ √[(0.0334760) + (0.0300987)]

1 ÷ √0.0635747

1 ÷ 0.2521402

= 3.966

Degree of freedom :

df = n - 1

df = 61 - 1 = 60

Critical value :

Tcritical at 0.05%, df = 60

Tcritical = 1.67

Decision region:

Reject H0 if Tstatistic > Tcritical

Since ;

3.96 > 1.67 ; We reject H0

We can conclude that there is significant evidence to support the claim that geese do travel more Than pelicans

The unit rate of fragance a is $ , and the unit rate of fragrance b is $

Answers

Answer:

Table

Bottles Price($)

3           78

6           156

9           234

From that you can find the unit price: 78 / 3 = 156 / 6 = 234 / 9 = 26.

That means that the unit rate of this fragance is $26.

If you call x the number of bottles the equation is

Price = unit rate * number of bottles = 26x.

Now compare this information with that on your graph to compare the unit rates.

This can help you fo find the unit rate in from your grpah: the unit rate is the slope of the line =

[change in y-coordinate] / [change in the x-coordinate]

Step-by-step explanation:

Answer:

3 and 78

Step-by-step explanation:

what is the surface area in square inches of the prism​

Answers

Answer: the answer is 25

Step-by-step explanation:

Please answer all questions correct and fast for brainlest

Answers

Answer:

8. -3x+10

9. 9-4y

10. -7x+3

11. -3x+4+4y

Step-by-step explanation:

collect like terms :)

Answer:

8) -3x+10

9) 9-4y

10) -7x+3

11) -3x+4y+4

Ashley's purchasing school uniforms for children if the cost of the uniforms is $136.50 if there is 8% sale tax in the community how much sales tax in dollars will she pay?

Answers

Answer:

10.92

Step-by-step explanation:

136.5*(8/100)that is tax

Answer:10.92

Step-by-step explanation:

Write the number 9.9 x 10-5 in standard form.

Answers

It’s going to be 94 if it works let me know!

In a survey 125 people, 90 people liked orange juice or grape juice. There are 62 people who like orange juice and 43 people who like grape juice. What is the probability that a randomly selected person likes both juices?

Answers

Answer:

0.12 = 12% probability that a randomly selected person likes both juices.

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

We solve this question treating these events as Venn probabilities.

I am going to say that.

Event A: Like orange juice.

Event B: Like grape juice.

In a survey 125 people, 90 people liked orange juice or grape juice.

This means that:

[tex]P(A \cup B) = \frac{90}{125}[/tex]

62 people who like orange juice and 43 people who like grape juice.

This means that:

[tex]P(A) = \frac{62}{125}, P(B) = \frac{43}{125}[/tex]

What is the probability that a randomly selected person likes both juices?

This is [tex]P(A \cap B)[/tex], which is given by:

[tex]P(A \cap B) = P(A) + P(B) - P(A \cup B)[/tex].

With the values in this problem:

[tex]P(A \cap B) = P(A) + P(B) - P(A \cup B) = \frac{62}{125} + \frac{43}{125} - \frac{90}{125} = \frac{62 + 43 - 90}{125} = \frac{15}{125} = 0.12[/tex]

0.12 = 12% probability that a randomly selected person likes both juices.

Find the midpoint of the segment with endpoints of (3.5, 2.2) and (1.5, -4.8)
and enter its coordinates as an ordered pair. If necessary, express
coordinates as decimals.

Answers

Answer:

(2.5, -1.3)

Step-by-step explanation:

x = (3.5 + 1.5) / 2

x = 5/2

x = 2.5

y = (2.2 - 4.8) / 2

y = -2.6/2

y = -1.3

(2.5, -1.3)

Thank you for your help! Pls no links.

Answers

Answer:

Exactly 4 pitches: 15/100

= 0.15

Which of the following is NOT TRUE about graphing a quadratic equation: ax2 + bx + c
The "b" value is the x-coordinate of the vertex.

The graph is called a parabola and either opens up or down.

The x-intercepts can be found by factoring and using the zero product property.

The "C" term is the y-intercept of the graph.

Answers

Answer:

The "b" value is the x-coordinate of the vertex. - NOT TRUE

Step-by-step explanation:

The "b" value is the x-coordinate of the vertex. - NOT TRUE

The x-coordinate of the vertex is -b/(2a)

Hey can you somebody help me with this problem

Answers

Step-by-step explanation:

sinx=20/36

x=sin-¹20/36

x=34

PLEASE HELP SOON
The diagram below shows vector v.
Given transformation matrix T = [-1 0 0 1], which diagram shows the application of T to v?
(pictures attached)

Answers

Answer:

A.

Step-by-step explanation:

[tex][6\:\:1]\begin{bmatrix}-1&0\\0&1 \end{bmatrix}=[6(-1) + 1(0)\:\:6(0)+1(1)]=[-6\:1][/tex]

Answer:

A on edge

Step-by-step explanation:

Question 3
1 pts
Suri has 6 chapters to read over 4 days. How
many chapters will she need to read each day?
02.
0 1 1/2
O 3/4
O 1 1/4

Answers

b is your correct answer

(HELP)What is the perimeter measured in centimeters of the rectangle pictured below do not include units in your answer

Answers

Answer:

26cm

Step-by-step explanation:

7+7+6+6=26

Answer:

26 cm

Step-by-step explanation:

7x2 because of 2 sides

12x2 because of 2 sides

14+12=26

2) A test consists of eight true/false questions. A student who forgot to study guesses randomly on every question. What is the probability that the student answers at most six questions correctly? ​

Answers

Answer:

Step-by-step explanation:

Guss

PLS HELP 30 POINTS

If the dimensions of the following cylinder are tripled, what factor will the volume change by?



81
27
3
9

Answers

Answer: 27

Step-by-step explanation:

It 9 I know for sure it’s 9

Identify the qualitative data in a given study.

A miles per gallon for different cars
B styles of different cars
C number of cars that are sold
D average price of cars sold

Answers

Answer:

b

Step-by-step explanation:

the styles of different cars are qualitative because it is not given a number, just the different styles.  

Hope this helps

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