Question:
Find the mean and compare it with the median. Find the standard deviation and compare it with the interquartile range. Calculate s for the data 4, 1, 3, 10, 2.
Answer:
(a)
[tex]Mean = 4[/tex]
[tex]Median=3[/tex]
[tex]Mean > Median[/tex]
(b)
[tex]IQR = 2[/tex]
[tex]SD = 3.2[/tex]
[tex]SD> IQR[/tex]
Step-by-step explanation:
Given:
Data: 4, 1, 3, 10, 2.
Solving (a): The mean and the Median
The mean is calculated as follows:
[tex]Mean = \frac{1}{n} \sum x[/tex]
Where
[tex]n = 5[/tex] i.e 5 data
So, the expression becomes:
[tex]Mean = \frac{1}{5}(4 + 1+3+10+2)[/tex]
[tex]Mean = \frac{1}{5}(20)[/tex]
[tex]Mean = 4[/tex]
Calculating the Median:
First, arrange the order (ascending order):
[tex]Data: 1, 2,3,4,10[/tex]
Because n is odd
The median is represented as:
[tex]Median = (\frac{n+1}{2})th\ item[/tex]
[tex]Median = (\frac{5+1}{2})th\ item\\[/tex]
[tex]Median = (\frac{6}{2})th\ item[/tex]
[tex]Median = 3rd\ item[/tex]
From the arranged data, the 3rd item is 3.
Hence:
[tex]Median=3[/tex]
By comparison, the mean is greater than the median because [tex]4 > 3[/tex]
Solving (b): Standard Deviation and IQR
The standard deviation is calculated as follows:
[tex]SD= \sqrt{\frac{\sum (x_i - Mean)^2}{n}[/tex]
So, we have:
[tex]SD= \sqrt{\frac{(4 - 4)^2+(1 - 4)^2+(3 - 4)^2+(10 - 4)^2+(2 - 4)^2}{5}[/tex]
[tex]SD= \sqrt{\frac{(0)^2+(- 3)^2+(- 1)^2+(6)^2+(-2)^2}{5}[/tex]
[tex]SD= \sqrt{\frac{0+9+1+36+4}{5}[/tex]
[tex]SD= \sqrt{\frac{50}{5}[/tex]
[tex]SD= \sqrt{10}[/tex]
[tex]SD = 3.2[/tex]
Calculating IQR
[tex]IQR = Q_3 - Q_1[/tex]
[tex]Data: 1, 2,3,4,10[/tex]
In (a), we calculate the median as:
[tex]Median=3[/tex]
First, we calculate [tex]Q_1[/tex]
[tex]Q_1 = Median\ of\ the\ first\ half.[/tex]
The first half is:
[tex]First\ Half = 1,2,3[/tex]
So:
[tex]Q_1 = 2[/tex]
First, we calculate [tex]Q_3[/tex]
[tex]Q_3 = Median\ of\ the\ second\ half.[/tex]
[tex]Second\ Half = 3,4,10[/tex]
So:
[tex]Q_3 = 4[/tex]
Recall that:
[tex]IQR = Q_3 - Q_1[/tex]
[tex]IQR = 4 - 2[/tex]
[tex]IQR = 2[/tex]
So, we have:
[tex]IQR = 2[/tex]
[tex]SD = 3.2[/tex]
By comparison, the standard deviation is greater than the IQR because:
[tex]3.2 > 2[/tex]
So,
[tex]SD> IQR[/tex]
What am I supposed to do
Ramona has been approved for a 20-year, $200,000 mortgage at an annual interest rate of 3.7% compounded monthly Calculate the monthly payment on the loan.
Answer:
this other guy is wrong ^^^^^^^^^
it's
2432.35
Step-by-step explanation:
Simplify the following expressions (please help I know it's a lot)
Answer:
1. C
2. A
3. C
4. C
5. I think it’s A bit I’m not sure
6. I’m sorry I don’t understand the handwriting can’t tell if that’s a fraction or an exponent
7. C
8. D
9. C
Hope this helps :)
Step-by-step explanation:
Please help I’m stressing
please help meh on this for points and brainliest
Answer:
13 is two and two thirds of four and seven eighths.
Step-by-step explanation:
To solve this, all you need to do is divide 13 by 2 and two thirds. Let's do it:
[tex]13 \div 2\frac{2}{3}\\= 13 \div \frac{8}{3}\\= 13 \times \frac{3}{8}\\= \frac{13 \times 3}{8}\\= \frac{39}{8}\\= 4\frac{7}{8}[/tex]
Answer:
4.875
Step-by-step explanation:
2 2/3=266.666666666667
266.666666666667% of 4.875 = 13
what is the answer
-48>6x =
Answer: x =8
Step-by-step explanation:
X+ 1
If g(x) =
x-2 and h(x) = 4 – X, what is the value of (905)(-3)?
Answer:
Wait can you explain it better?
Step-by-step explanation:
Help me please
Thanks
HELP PLS I RLLY NEED IT ILL GIVE BRAINLIEST!!!!!!!!!!!!!!!!
Answer:
It’s C
Step-by-step explanation:
Answer:
C.
Step-by-step explanation:
2/3÷4/21=3½
Plzzzz give me Brainliest!!!!!
Can somebody help me please? Thank u! :)
Answer:
1. last choice
2. first choice
Step-by-step explanation:
First ImageThe reason why it is the last choice because when times keep going as distance also keeps increasing as well. But the last choice says that run at the end of track then turn around and run back. That means there must be a decreasing distance and a maximum value as well.
Therefore the only with max point/vertex is the absolute value which matches the last choice.
Second ImageFirst choice because the car straight forwards without any change. The car runs with a steady speed but the distance will keep changing without any change of distance.
So the answer is first choice.
HELP ASAP PLEASE !!!!!!!!!!! and please don’t answer unless you genuinely know you’re right or close to being right. i don’t understand this stuff at all so i’m not gonna know if you’re answer was made up or not.
Answer:
S(x) = x⁴ + 2x³ + 15Step-by-step explanation:
The function S(x) has shifted up (vertical translation) by 10 units as seen on the graph
The transformation rule is:
S(x) → S(x) + 10Therefore new equation is:
S(x) = x⁴ + 2x³ + 15A salesperson at a jewelry store earns 8% commission each week. Last week,Heidi sold $640 worth of jewelry. How much did the jewelry store make from her sales?
Answer:
19.2 your welcome my guy
Step-by-step explanation:
im smart
Help me please -no wrong answer = no Brainy, right answer = Brainiest
Answer:
1 and 39/40
Step-by-step explanation:
Is east just add
The scatter plot shows the height x (in inches) and the weight y (in pounds) of 10 people. Find the weight of the person who is 63 inches tall. Then find the height of the person who weighs 135 pounds.
PLEASE HELP QUICK!!!!
Given:
Scatter plot shows the height x (in inches) and the weight y (in pounds) of 10 people.
To find:
The weight of the person who is 63 inches tall. Then find the height of the person who weighs 135 pounds.
Solution:
In the given scatter plot,
x = height (in inches)
y = weight (in pounds)
First we need to find the weight of the person who is 63 inches tall.
If height of a person is 63 inches, then x = 63.
From the given graph, it is clear that y = 110 at x = 63.
Therefore, the weight of the person who is 63 inches tall is 110 pounds.
Now, we need to find the height of the person who weighs 135 pounds.
If weight of a person is 135 pounds, then y = 135.
From the given graph, it is clear that x = 66 at y = 135.
Therefore, the height of the person who weighs 135 pounds is 66 inches.
The sum of the first 14 integers is 105.
Find the sum of the first 14 cubes.
i need help plz
9514 1404 393
Answer:
11,025
Step-by-step explanation:
Interestingly the sum of the first 14 cubes is the square of the sum of the first 14 integers: 105^2 = 11,025.
Answer:
11,025 is your answer
Step-by-step explanation:
Determine the GCF of the coefficients.
This is the ____ integer that divides into each coefficient.
(A) greatest
(B) least
Determine the GCF of the variable parts.
For each variable common to all the terms, choose the power of the variable with the __ exponent.
(A) greatest
(B) least
A is correct = greatest.
Jermaine and Josh observed an anthill for their science project. They observed that an ant moved 45.0 millimeters (mm) in 85.0 seconds (s). How fast was the ant moving?
Answer:
Velocity =displacement/time
Distance covered is 45mm which is 0.045m or 0.45cm but the displacement is very small so use mm instead. Time taken (t) to cover the distance is 85s. V=45/85
V=0.53mm/s
Step-by-step explanation:
Point A is at (3, 2.6) and point B is at (3, 1.4) on a coordinate grid. The distance between the two points is ____. Input numbers and decimal point only, such as 5.8
Answer:
ITS 1.2 JUST MAKE A GRIS IN YOUR NOTE BOOK
Step-by-step explanation:
If the simple interest on $6,000 for 3 years is $1,620, then what is the interest rate?
Answer:
Interest rate: 9%
Step-by-step explanation:
Using the simple interest formula: A=P(1+rt)
A=Final amount
P=Principal amount
r=rate
t=time (years)
We just need to put in the information we have from the question and solve for r.
7,620=6000(1+r3)
7,620/6000=1+r3
1.27=1+r3
0.27=r3
r=0.09
r=9%
#9. Find the slope of the line in the graph.
Remaining Money
у
140
120
A 100
Money ($)
80
60
40
20
0 1 2 3 4 5 6 7 8 9
Number of Games
zoe walked 20 miles. the next day she walked 16 miles. what is the percent of the decrease of zoes walking? I WILL GIVE BRAINLIST! SHOW WORK!!
What is the multiplicity of the zero at x = 3 for this polynomial? y = x(x + 4)^3(x - 3)^5
Answer:
Solve for x. The multiplicity of a root is the number of times the root appears. x=0(Multiplicity of 1)x=−4 (Multiplicity of 3)x=3(Multiplicity of 5)
Step-by-step explanation:
WILL GIVE BRAINLIEST IF CORRECT
The value of x that makes lines a and b parallel is
Answer:104
Step-by-step explanation:
104+75=180
zoe walked 20 miles. the next day she walked 16 miles. what is the percent of the decrease of zoes walking. I will give brainlist if you answer WITH WORK
Answer:
80%
Step-by-step explanation:
13 x 2.5 in area model
Answer:
answer is 32.5
Step-by-step explanation:
please follow me
Which is a linear equation with a slope of 1/2 and a y-intercept of -5?
A.y= –5x + 1/2
B.y=1/2x – 5
C.y=1/2x + 5
D.y= –1/2x − 5
Answer:
B. y=1/2x-5
m=1/2
b=-5
1. Compare the strengths and weaknesses of the horizontal and vertical methods for adding and subtracting polynomials. Include common errors to watch out for when using each of these methods.
2. Explain why you cannot use algebra tiles to model the multiplication of a linear polynomial by a quadratic polynomial. As an added challenge, develop a model similar to algebra tiles that will allow you to show this multiplication. Describe an example of your model for the product (x + 1)(x2 + 2x + 2). 3. Imagine that you are teaching a new student how to multiply polynomials. Explain how multiplying polynomials is similar to multiplying integers. Then describe the key differences between the two. 4. If you multiply a binomial by a binomial, how many terms are in the product (before combining like terms)? What about multiplying a monomial by a trinomial? Two trinomials? Write a statement about how many terms you will get when you multiply a polynomial with m terms by a polynomial with n terms. Give an explanation to support your statement.
1.Each method works differently the angles inside them is what matters.
2. Manipulating algebra tiles can help people solve linear equations
3.Distribute each term of the first polynomial to every term of the second polynomial. Remember that when you multiply two terms together you must multiply the coefficient (numbers) and add the exponents. But with Integers you multiply two integers with different signs
4.So you know how
A monomial is a number, a variable or a product of a number and a variable.
multiply each term in one polynomial by each term in the other polynomial
Olivia has a shoe box in the shape of a rectangular prism. She decorates 4 faces of the box,
leaving the top and the bottom without decorations. The unshaded parts of the model and
the diagram below show the parts that she decorates. What is the total area that Olivia
decorates?
5 in.
11 in.
8 in
190 square inches
440 square inches
366 square inches
256 square inches
Taking the test rn, it’s 190 square inches.
Found the answer on another site. Worked fine, hope that helps
Answer:
440
Step-by-step explanation:
I HAVE I READY TOO AND IT’S KILLING ME
Simplify this expression 2x^4 x x^3
Answer:
2x^7
Step-by-step explanation:
Multiply
x ^4 by x ^3 by adding the exponents.
Answer:
personally i think its 3x^7
Step-by-step explanation:
you add the powers to get 7
you add the x's to get 3
then you combine the answers
A cheetah can run at a speed of 74.56 miles per hour. A racehourse can run at a speed of 38.9 miles per hour. How much faster can a cheetah run than a racehorse in miles per hour?
Answer:
35.66 Mph
Step-by-step explanation:
If I'm correct, how much faster means subtracting which means you should do 74.56 mph minus 38.9 mph which gets you 35.66 mph.