Determine the mean ,median,modes ,IQR,and rage for the data 3,8,6,6,4,6,9,9,12

Answers

Answer 1

Mean:

Add all the numbers:

3 + 8 + 6 + 6 +4 + 6 + 9 + 9 + 12 = 63

There are 9 numbers.

63 / 9 = 7

Mean = 7

Median:

Order all the numbers:

3, 4, 6, 6, 6, 8, 9, 9, 12

The median is 6.

Mode:

The number that appears the most is 6.

The mode is 6.

Inter-Quartile Range :

Median of 2nd part = 9

Median of 1st part = 5

Subtract:

9 - 5 = 4

The IQR is 4.

Range:

The highest number is 12. The lowest is 3

Subtract:

12 - 3 = 9

The range is 9.

Hope this helped☺☺

Answer 2

Mean=Average/add all the numbers and divide it by how many numbers there are

3+8+6+6+4+6+9+9+12

=63

63/9

=7 is your mean

Median=The middle number in a set of ordered numbers

first place all the numbers from least to greatest

3,4,6,6,6,8,9,9,12

The middle number of this set is 6 so 6 is your median

Mode is the most numbers repeated so if no numbers are repeated there is no mode

6 is repeated 3 times so 6 is your mode

Range: greatest number minus least number

12-3

=9 is your range

IQR=since the median is 6 we would split it and then minus it

so 3,4,6,6,6,8,9,9,12

It would be 9-5

=4is your IQR I am pretty sure that is correct!

^o^

Related Questions

Diana uses 30 grams of coffee beans to make 48 fluid ounces of coffee. How many grams of coffee beans foes Diana uses when company comes?

Answers

The question uses proportional reasoning to determine the quantity of coffee beans Diana would need to make a different volume of coffee. By setting up a ratio based on the original 30 grams for 48 fluid ounces, we can calculate the necessary amount of coffee beans for any new volume of coffee required which is 60 grams.

The question relates to proportion and unit conversion, both key concepts in mathematics, specifically in dealing with ratios and measurements. Diana uses 30 grams of coffee beans to make 48 fluid ounces of coffee. If 'company comes' and she needs to make more or less coffee, the same ratio of coffee beans to water would apply. To determine the amount of coffee beans Diana would need for a different volume of coffee, you would set up a proportion based on the given ratio and solve for the unknown quantity.

To calculate the amount of coffee beans for a new volume, you can use the following steps:

Determine the new volume of coffee in fluid ounces.

Set up a ratio comparing 30 grams of coffee beans to 48 fluid ounces.

Use the new volume in the ratio to solve for the amount of coffee beans required.

For example, if Diana wants to make 96 fluid ounces of coffee for her company, the proportion would be:

30 grams / 48 fluid ounces = X grams / 96 fluid ounces

Solving this gives us X = (30 grams * 96 fluid ounces) / 48 fluid ounces = 60 grams. Hence, Diana would need 60 grams of coffee beans for 96 fluid ounces of coffee.

if a horse weighs 500kg and a spider 1g how many spiders weigh the same as one horse??

Answers

Hello!

First you have to put the horses weight into grams

There are 1000 kilograms in a gram

Multiply the horse weight by 1000 to get its weight in grams

500 * 1000 = 500000g

Divide the weight of the horse by the weight of the spider

500000 / 1 = 500000

The answer is 500,000 spiders

Hope this helps!

A series contains 18 numbers and has a sum of 4,185. The last number of the series is 275. What is the first number?

Answers

The sum of arithmetic series is given by:
Sn=n/2(a1+an)
where:
n=number of terms
a1=first term
an=nth term
but
n=18, an=275, Sn=4185
plugging the values in the formula we get:
4185=18/2(a1+275)
simplifying this we get:
4185=9(a1+275)
dividing through by 9 we get:
465=a1+275
thus
a1=465-275
a1=190

Answer: first number is 190

Answer:

B on edge 190

Step-by-step explanation:

It costs $0.05 to send a text message and $0.10 to send a picture on your cell phone. You spend $4 and send five more text messages than pictures. How many text messages, x, and pictures, y, did you send?

Answers

The first thing we must do for this case is to define variables:
x: text messages
Y: pictures
We write the system of equations:
0.05x + 0.10y = 4
x = y + 5
Solving the system we have:
x = 30
y = 25
Answer:
you send:
30 text messages
25 pictures

Final answer:

This is a problem of system of linear equations. We form two equations from the conditions given in the problem, and solve the system of equations to find the number of text messages and pictures sent.

Explanation:

This is a problem of system of linear equations. Here are two conditions mentioned: The total cost and difference of number of text messages and pictures.

Let's denote the number of text messages as x and pictures as y as per your question.

From the cost, we have the equation: $0.05x + $0.10y = $4.

From the difference of the number of sent messages and pictures, we have: x = y + 5.

Now we can substitute x from the second equation into the first one, get the value for y, and calculate the value for x after. Here you have step-by-step solution for your problem.

Learn more about system of linear equations here:

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PLZ HELP NOOOOW!!

Sarah ran around a track 1 1/2 times. The track in 3/4 of a mile long.

How many miles did Sarah run?

Answers

Hey there! The answer is 1 1/8 mile.

To find the amount of miles Sarah ran, we need to multipy the length of the track by the times she run that distance.
[tex]1 \frac{1}{2} \times \frac{3}{4} = \frac{3}{2} \times \frac{3}{4} = \frac{9}{8} = 1 \frac{1}{8} [/tex]

Rembember: multiplying a fraction means you have to multiply the numerator by the numerator (of the other fraction) and the denominator by the denominator (of the other fraction)

The answer is 1 1/8 mile.
~ Hope this helps you!

Evaluate log416 -2 1/2 2

Answers

16 = 4²

So, by the definition of logarithms

[tex]\log_4{16}=2[/tex]

the quotient of a number and 9 is equal to the same number decreased by 40. what is the number

Answers

Quotient is the result of dividing two numbers.

x= the unknown number

The equation is x divided by 9 equals x minus 40.

x/9= x - 40
multiply both sides by 9

(9)(x/9)= (9)(x - 40)
x= 9x - 360

subtract 9x from both sides
-8x= -360

divide both sides by -8
x= 45

ANSWER: The number is 45.

Hops this helps! :)

What is 3km 9hm 9dm +7km 7dam

Answers

3+9+9+7+7=36
Good night hope thid helps

using conversion

let km be the base unit

9 hm = 0.9km
9 dm = 0.0009 km
7 dam = 0.07km

adding all of the values

3 + 0.9 + 0.00009 + 7 + 0.07 = 10.97009

this is not a question i just need someone to make sure i did #16 right. Thanks;)

Answers

I think the length of pool in inches is actually 12*12=144 because there are 12 inches in a foot.
Also, the scale factor would be 144/16 = 9.

1 foot = 12 inches
so length of pool = 12 inches x 12 feet = 144 inches

144 /16 = 9
so the scale factor would be 1:9
which means the blueprint is 9 times smaller than the real pool

A Fermi estimate is an estimate of a very large number found by using geometry to estimate measurements of a real-world objects

True
or
False

Answers

False. A Fermi estimate doesn't rely on geometry. It's a method for approximating large numbers using basic assumptions and math.

False. A Fermi estimate is not reliant on geometry to estimate measurements of real-world objects.

Instead, it's a method for making quick, rough approximations of quantities or numbers, especially when precise data is unavailable or impractical to obtain. Named after physicist Enrico Fermi, this approach involves breaking down complex problems into simpler components, making reasonable assumptions, and using basic mathematics to arrive at an estimate.

While geometry might be employed in some cases, Fermi estimates primarily focus on leveraging broad understanding and educated guesses to reach ballpark figures rather than precise calculations based on specific measurements.

Select whether the number is rational, irrational, or imaginary. 1/4

Answers

Hey there!

The correct answer should be rational.

Hope this helps!

The value of number 1 / 4 is a Rational number.

What is Rational number?

A number which can be written in the form of fraction p / q , where q is non zero, are called Rational numbers.

We have to given that;

The number is,

⇒ 1 / 4

Now, Number 1 / 4 is of the form p / q (fraction form).

Hence, We can say that;

The value of number 1 / 4 is a Rational number.

Thus, It is a Rational number.

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hey can you please help me posted picture of question

Answers

The points in the graph that will intersecr in the x axis would be 0. It has no points since it just involves a y axis line and ita pointa do not pass in the x axis. So the best and most correct answer is B. 0.

The nature of roots can help us to determine the answer to this question and discriminant can be used to determine the nature of the roots.

Discriminant = b² - 4ac

b = coefficient of x term = -9
a = coefficient of squared term = 4
c = constant term = 9

So, Discriminant = 81 - 4(4)(9) = -63

Since, the discriminant is negative, the equation will have complex zeros.This means its graph will not cross x-axis at any point.

So, the answer to this question is zero, option B

find the center and radius of the circle (x+8)^2+(y-2)^2=25

Answers

The circle equation is in the format: (x – h)^2 + (y – k)^2 = r^2
The center is at the point (h,k) and the radius is r

In the equation (x+8)^2+(y-2)^2=25,

Center = (-8, 2)
Radius = 5

Hope this helps. :)

what number is the opposite of 890

Answers

-890 is your answer . Any positive number is the negative of it .

The opposite of 890 is -890, which means -890 added to 890 equals zero.

The opposite of a number is defined as a number that, when added to the original number, results in zero. To find the opposite of a number, you simply change its sign. If the number is positive, the opposite is negative, and if the number is negative, the opposite is positive. Therefore, the opposite of 890 is -890.

To test upper h 0 : mu equals 72 versus upper h 1 : mu less than 72, a simple random sample of size nequals20 is obtained from a population that is known to be normally distributed, and the sample standard deviation is found to be 6. complete parts (a) and (b) below.

Answers

We solve using equation [tex] \beta \sqrt{x} \sqrt[n]{x} \lim_{n \to \infty} a_n \alpha [/tex]⇔ ∈ ω. ㏒

hey can you please help me posted picture of question

Answers

Option A is the correct answer.

The cubic parent function is y = x³ , with no coefficients multiplied to x and with number added to or subtracted from x. Other cubic functions are a modified form of parent cubic function.

So, the answer is y = x³

the expression sinx + cotx cosx can be simplified to___. A. cotx B. cscx C. cosx sinx D. secx

Answers

[tex]\sin x+\cot x\cos x=\sin x+\dfrac{\cos x}{\sin x}\cos x=\dfrac1{\sin x}(\sin^2x+\cos^2x)=\csc x[/tex]

Answer:

Solution-

∵ cotx = (cosx÷sinx)

∴ The given expression can be written as

sinx + cotx·cosx = sinx + ( cosx÷ sinx).cosx

⇒sinx +(cosx)²÷sinx = [ (sinx)² + (cosx)²] ÷ sinx

⇒ 1÷ sinx = cosecx = cscx

using the identity (sinx)²+(cosx)²=1

∴ option B is correct.

what is the best estimate for the total weight of these cold meat 1 7/8 lb of Bologna 1 and 1/2 pounds of ham and 7/8 lb of roast beef

Answers

well, it seems to be just a sum of all quantities, now let's firstly convert the mixed fractions to "improper"and then add them up,

[tex]\bf \stackrel{mixed}{1\frac{7}{8}}\implies \cfrac{1\cdot 8+7}{8}\implies \stackrel{improper}{\cfrac{15}{8}} \\\\\\ \stackrel{mixed}{1\frac{1}{2}}\implies \cfrac{1\cdot 2+1}{2}\implies \stackrel{improper}{\cfrac{3}{2}}\\\\ -------------------------------\\\\ \cfrac{15}{8}+\cfrac{3}{2}+\cfrac{7}{8}\quad \stackrel{LCD~8}{\implies }\quad \cfrac{15+12+7}{8}\implies \cfrac{34}{8}\implies \stackrel{simplified}{\cfrac{17}{4}}\implies 4\frac{1}{4}[/tex]

Q # 1 solve the problem

Answers

For this case we have the following variables:
x = the number of adult tickets
y = the number of children's tickets
We write the inequality:
8x + 6y <= 172
The solution is the set of points that belong to the region shaded in the graph.
Answer:
8x + 6y <= 172
see attached image.

The solution is shown in the graph attached.

Explanation:

I am goind to teach you how to get that solution.

1) Restricctions: both x and y cannot be negative, i.e. x ≥ 0 and y ≥ 0

⇒ the solution is on the first quadrant.

2) Using the prices of the tickets, $ 8 for adults, and $ 6 for children, the linear equation for the costs is: cost = 8x + 6y.

3) Since the radio station is willing to spend a maximum of $ 172 you have the final restriction:

⇒ 8x + 6y ≤ 172.

4) Then the solutions that meet the three restrictions (x ≥0, y ≥ 0, and 8x + 6y ≤ 172) is found graphically by drawing the line 8 x + 6y = 172

5) To draw the line 8x + 6y = 172, use the axis intercepts:

x = 0 ⇒ y = 172/6 = 86/3 ⇒ point (0, 86/3)

y = 0 ⇒ x = 172/8 = 86/4 ⇒ point (86/4, 0)

6) Once you have the line you shade the region that is between the line and the two axis. That region contain of the possible solutions.

A real estate broker sold your house for $189,000. The broker's commission was 4.5 percent of the selling price. How much would you get for the house after the commission is paid?

Answers

First, we are going to find the commission of the broker. To do that we are going to multiply the selling price of your house by 4.5 percent:
[tex]189000*[/tex]4.5%=[tex]189000* \frac{4.5}{100}=8505 [/tex]

Next we are going to subtract the broker's commission ($8505) from the selling price of your house:
[tex]189000-8505=180495[/tex]

We can conclude that you will get $180,495 from your house after the commission is paid.

The exponential function represented by the table can be written in the form y=ab^x. Find the values for a and b.

Answers

If this function can be written in the form y = ab^x, then we see that when x is inputted as 0, y is outputted as 4. This means that
                                          4 = ab^0
                                          a = 4
The value of a is 4.
We see that when x = 1, y = 2 thus
                                           y = 4b^x
                                          2 = 4(b^1)
                                          b = 1/2
The answers are a = 4 and b = 1/2

The exponential function gotten from the table is given by y = 4(1/2)ˣ

Exponential function

An exponential function is in the form:

y = abˣ

where y, x are variables, a is the initial value of y and b is the multipliers.

From the table, at point (0, 4):

4 = ab⁰a = 4

At point (3, 1/2):

y = abˣ1/2 = 4b³b = 1/2

The exponential function gotten from the table is given by y = 4(1/2)ˣ

Find out more on exponential function at: https://brainly.com/question/12940982

2(3y-1)3(y-4)=13 please show step by step

Answers

[tex]2(3y-1)+3(y-4)=13\\\\2\cdot3y+2\cdot(-1)+3\cdot y+3\cdot(-4)=13\\\\6y-2+3y-12=13\\\\\underbrace{6y+3y}_{9y}\underbrace{-2-12}_{-14}=13\\\\9y-14=13\ \ \ |\text{add 14 to the both sides}\\\\9y=27\ \ \ |\text{divide both sides by 9}\\\\\boxed{y=3} [/tex]

The students at Porterville Elementary sold raffle tickets, each for the same price, for a fundraiser. The equation below shows how much money was raised with the tickets sold. $1,760 = $20t. What is the unit rate in the equation above?

Answers

The "unit rate" appears to be $20 per ticket.

describe how a company that produce earphones can design a survey

Answers

First of all this survey need to be anonymous. The company need to know the population whom the survey is addressed. So, I think the following questions can be a good example:

1. Where do you usually use earphones? (Please select all that apply) 
library
home
transportation
kitchen
driving/riding
Other

2. What are the purposes you use earphones? (Please select all that apply) learn language
listen to music
watch video
privacy concerns(show ‘don’t bother me’)
for beauty
Other

3. What kind of earphones you like the most? 
circumaural
supra-aural
earbuds
in-ear

4. What are the reasons make you like the earphone you chose in question 3? (Please select all that apply) 
appearance
comfortability
function(plays music well)
brand
price
portability
Other

5. Have you ever felt vulnerable or unsafe while wearing headphones and listening to music because you are not as aware of your surroundings? 
yes
no

A certain country's postal service currently uses 6-digit zip codes in most areas. how many zip codes are possible if there are no restrictions on the digits used? how many would be possible if the first number could not be 0?

Answers

If any digit can be 0 to 9 with no restrictions, the number of possible zip codes is ...
10×10×10×10×10×10 = 10⁶ = 1,000,000.

Final answer:

For a 6-digit zip code with no restrictions, there would be 1,000,000 possible zip codes. If the first digit could not be a '0', the number of possible zip codes would decrease to 900,000.

Explanation:

We're dealing with a counting problem here. This problem involves basic principles of combinatorics.

Firstly, if there are no restrictions on the digits used, each of the six positions in the zip code can hold any digit from 0 to 9. There are 10 choices (from 0 to 9) for each of the 6 digits in the zip code which leads to 10^6 = 1,000,000 possible zip codes.

However, if the first number could not be 0, there are 9 possible choices for the first digit and 10 choices for each of the remaining 5 digits. Therefore, the number of possible zip codes would be 9 * 10^5 = 900,000.

Learn more about Combinatorics here:

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Which conversion requires multiplication? Use the metric table to help answer the question.

Answers

Any conversion that goes down to a smaller value

Ex: Kilometer to meter will be x1000
meter to centimenter is x100

BUT going up will be division
Meter to kilometer is /1000

Answer:

centimeters to kilometers

Step-by-step explanation:

Which of the following sets shows all the numbers from the set {0, 0.5, 1, 2.5, 3} that make the inequality 2a + 3 ≥ 8 true?
{2.5, 3}
{1, 2.5, 3}
{0, 0.5, 1}
{0.5, 1}

Explain how you got your answer
PLEASE AND THANK YOU

Answers

It’s A because I used a calculator

Answer: A

Step-by-step explanation:

Coco's garden has 888 tomato plants, 444 pepper plants, 333 squash plants, and 666 pumpkin plants.
For every 777 plants in Coco's garden, there are 2_____ plants.

Answers

8 + 4 + 3 + 6 = 21There are 21 plants altogether.21 is 3 times 7.For every 21 plants there are 6 pumpkin plants, sofor every 7 plants, there are 2 pumpkin plants.

What is the slope of the line y = 3?

Answers

The slope of a line y = any constant real number is 0.

This is because the equation y = a number represents a straight horizontal line on a graph.

change -115 degrees to radian measure in terms of pi

Answers

-23\pi/36 or -115\pi/180.

In order to find this, you need to take the degrees [ in this case -115 ] and multiply that by \pi/180. Then simplify that result if possible.

Hope this helps!

Answer:

-23/36 pi

Step-by-step explanation:

(-115 x pi) / 180

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