Nadia compares the weights, in grams, of some apples and oranges. She finds the median and interquartile range of the weights. Median Interquartile range (IQR) Apple sample 150 8 Orange sample 130 11 Answer the questions to compare the centers and variabilities of the samples. 1. Which sample has a greater typical value, or median? Write your answer in the space below. 2. Which sample has a greater variability, or spread? Write your answer in the space below. 3. According to these measures, is it possible that the heaviest piece of fruit in the two samples was an orange? Explain why or why not.
Answers
Answer:
The higher the interquartile range the bigger the variance as it the difference between the 0.25 and 0.75 quantiles. which basically means if the difference between the 25 percent and 75 percent is higher then there is more variety as they are further away.
Step-by-step explanation:
Which basically means if the difference between the 25 percent and 75 percent is higher then there is more variety as they are further away.
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The apple sample has a greater typical value or median.
The orange sample has a greater variability or spread.
No, it is not possible that the heaviest piece of fruit in the two samples was orange because the median weight of the orange sample is less than the median weight of the apple sample.
What is the interquartile range?An interquartile range is a measure of the difference between the upper and lower quartiles of a dataset.
W can find the values of the upper and lower quartile and median from a box plot.
The middle line is the median and the first line is the lower quartile and the last line is the upper quartile.
The formula used is Upper quartile - Lower quartile.
We have,
1.
The apple sample has a greater typical value or median, which is 150 grams, compared to the orange sample which has a median of 130 grams.
2.
The orange sample has a greater variability or spread as indicated by the interquartile range (IQR) of 11 grams, which is larger than the IQR of the apple sample which is 8 grams.
3.
No, it is not possible that the heaviest piece of fruit in the two samples was orange because the median weight of the orange sample is less than the median weight of the apple sample.
The median is a measure of central tendency and it indicates that at least half of the oranges weigh less than 130 grams, while at least half of the apples weigh more than 150 grams.
Therefore, it is more likely that the heaviest piece of fruit is an apple, not an orange.
However, we cannot be certain about this without knowing the actual weights of all the apples and oranges in the samples.
Thus,
The apple sample has a greater typical value or median.
The orange sample has a greater variability or spread.
No, it is not possible that the heaviest piece of fruit in the two samples was orange because the median weight of the orange sample is less than the median weight of the apple sample.
Learn more about the interquartile range here:
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Related Questions
Can anyone help? I’ll give Brainly.. thank you
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Explanation;
The area of a circle is pi square centimeters. What is the diameter? Please help!!!!
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Answer:
Radius of the circle = 1 centimeter.
Step-by-step explanation:
Expression that represents the area of a circle,
Area = πr²
Here, r = Radius of the circle
Area of the circle given = π square centimeters
πr² = π
r² = 1
r = 1
Therefore, radius of the circle is 1 centimeter.
A circus acrobat is shot out of a cannon with an initial upward speed of 50 . The equation for the acrobat's pathway can be modeled by the equation h = - 16t ^ 2 + 50t + 4 .
a.Find the maximum height of the acrobat.
b.How long will it take to reach the ground?
Answers
Answer:
Step-by-step explanation:
h = - 16t ^ 2 + 50t + 4
maximum height take the first derivative of h (calculus if you are taking it)
h' = -32t + 50 set this equal to zero
0 = -32t +50
t = 50/32
t = 1.5625 now plug t = 1.5625 into the height equation
h = - 16(1.5625) ^ 2 + 50(1.5623) + 4
h = 43.0625 ft
you can also find the maximum height by graphing the function and locating the peak value (much easier)
how long to reach the ground h = zero
0 = - 16(t) ^ 2 + 50(t) + 4
use the quadratic equation to solve this or graph the function h(t) and find the roots (much easier) and you will find that
t = -0.078 and 3.203 seconds
obviously the negative root makes no sense unless he time travelled so
t = 3.203 seconds
where does f(x) and the line y=1 intersect?
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40 PTS ! The length of the rectangle is 2 ft more than its width. The area of the rectangle is 80 square feet. Find the width of the rectangle.
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Answer:
The length of a rectangle is 2 feet more than it's width. How do you find the dimensions of the rectangle if its area is 63 square feet?
Step-by-step explanation:
x(x+2) = 63
x^2 + 2x = 63
x^2 + 2x - 63 = 0
Quadratic formula with numbers plugged in: (-2 +or- sqrt(4 - 4* 1 * -63))/2 becomes
-2 +or- sqrt(256)/2 so (-2 +or- 16)/2 therefore -18/2 or 14/2. Discard negative result.
x = 7. 63/7=9. Sides are 7ft and 9ft.
Answer:
8 ftStep-by-step explanation:
Given
The length l = w + 2The area lw = 80Substitute l and solve the following for w:
w(w + 2) = 80w² + 2w = 81w² + 2w + 1 = 81(w + 1)² = 9²w + 1 = 9w = 8The width is 8 ft
How many solutions does the equation 6z − 3z − 7 = −2 + 3 have?
Two
None
Infinitely many
One
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There could only be one aolition
1. Which point is a solution to this system of equations? 3х - у = 7 and 2x + 3y = 1
Answers
9514 1404 393
Answer:
(x, y) = (2, -1)
Step-by-step explanation:
A graphing calculator can find a solution quickly. (see attached)
__
The first equation can give an expression for y:
y = 3x -7
We can substitute this into the second equation:
2x +3(3x -7) = 1
11x -21 = 1 . . . . . . simplify
11x = 22 . . . . . . . add 21
x = 2 . . . . . . . divide by 2
y = 3(2) -7 = -1 . . . . using our equation for y
The solution is (x, y) = (2, -1).
Which of the following equations must also be true? Select three that apply.
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Answer:
[tex] \frac{ - r}{ - s} = t[/tex]
[tex] \frac{ - r}{s} = t[/tex]
[tex] \frac{r}{ - s} = - t[/tex]
Gift wrappers tend to have competitions on who can wrap more presents in a day. If Benjamin wrapped 9 less presents than Christopher, who wrapped x presents, choose the expression that shows how many presents Benjamin wrapped.
Answers
Answer:
x-9.
the expression that shows how many presents benjamin wrapped would be x-9
Plz help me well mark brainliest if correct!!...
Answers
9514 1404 393
Answer:
B) fifth grade boys
Step-by-step explanation:
55 tickets is halfway between the lines marked 50 tickets and 60 tickets. The bar that comes closest to that value is the right-most green bar, representing ...
fifth-grade boys
a maintenance worker is replacing worn rope on 6 flagpoles.the worker needs 40 feet rope for eqch flagpole. at the hardware store, rope is sold by the yard.how many yards of rope does the workwr need to buy for all 6 flagpoles?
Answers
240’/ 3 = 80’
The answer is 80’
x raise to the fourth power three times
Answers
Answer:
If you mean multiply by three when you say “three times”, then 3.
If you mean 1 to the third power when you say “three times”, then 1.
Step-by-step explanation:
1 x 1 x 1 x 1=1 is 1 to the fourth power.
If you mean multiply by three when you say “three times”, then 1x3=3.
If you mean 1 to the third power when you say “three times”, then 1x1x1=1.
Part E: What is the interquartile range for the data in Table 3 (Number of Siblings)?
this is pass due pls help!!!!
I highlighted the table needed to complete this question:
Answers
Answer:
14.85
Step-by-step explanation:
Answer:
The correct answer is 2
Step-by-step explanation:
I already did this assignment. Its the upper quartile minus the lower quartile so it literally cannot be 14.85.
The right triangle on the right is a scaled copy of the right triangle on the left. Identify
the scale factor. Express your answer in simplest form
Answers
Answer:
scale factor = [tex]\frac{34}{39}[/tex]
Step-by-step explanation:
The scale factor is the ratio of corresponding sides, image to original.
scale factor = [tex]\frac{34}{39}[/tex]
HELP I NEED TO DO THIS NOW NO LINKS THEY WOULD BE REPORTED JUST TELL ME WHAT I NEED TO PUT
Answers
How to do y=5x+2 and 3x=-y+ 10
Answers
y = 5x + 2
5 is the slope 2 is the y-intercept
3x = -y + 10 turns into y = -3x + 10
-3 is the slope 10 is the y-intercept
they intersect at (1, 7)
step-by-step explanation:
I’m not sure what you are wanting me to do with these but i will give you all the information about them
y = 5x + 2 is already in slope-intercept form
5 being the slope and 2 being the y-intercept
to solve for 3x = -y + 10
-3x+y +y-3x
y = -3x + 10
the slope is -3
the y-intercept is 10
they intersect at (1, 7)
Find the volume of the solid
Answers
Answer:
Volume of the given pyramid is 68 mm³.
Step-by-step explanation:
Figure given in the picture is a pyramid.
And volume of a pyramid is given by the formula,
Volume = [tex]\frac{1}{3}(\text{Area of the base)(\text{Height})}[/tex]
Area of the base = 68 mm²
Height of the pyramid = 3 mm
Therefore, volume of the pyramid = [tex]\frac{1}{3}(68)(3)[/tex]
= 68 mm³
Volume of the given pyramid is 68 mm³.
An angle measures 10° more than the measure of its complementary angle. What is the
measure of each angle?
Answers
Answer:
50 and 40
Step-by-step explanation:
Complimentary angles must add up to equal 90 degrees. Therefore, you must find two numbers that add to 90 and have a difference of 10. Try different number values until this is true. One must be 50 and the other 40 degrees.
Look at the two patterns below: Pattern A: Starts from 4 and follows the rule "add 9" Pattern B: Starts from 4 and follows the rule "add 5" Select the statement that is true. (4 points) Group of answer choices The first five terms in Pattern A are 4, 13, 22, 31, 40. The first five terms in Pattern B are 0, 4, 9, 14, 19. The terms in Pattern A are 2 times the corresponding terms in Pattern B. The terms in Pattern B are one fifth the corresponding terms in Pattern A.
Answers
Answer:b
Step-by-step explanation:
The terms in Pattern B are one third the corresponding terms in Pattern A.
Find the missing number in this function table.
Answers
Answer:
25
Step-by-step explanation:
2(13)-1=25
Answer:
25
Step-by-step explanation:
Using the equation given, 2x-1, you can plug in x, which is given in the table, and solve.
13 is given for x so you plug 13 into 2x-1;
2(13)-126-125you can then check your answer to make sure you did it correctly by plugging in another x number (such as 4) and checking to see if you get the same number as the one given.
Double checking but is this A
Answers
Answer:
si
Step-by-step explanation:
si
Many countries, especially those in Europe, have significant gold holdings. But many of these countries also have massive debts. The following data show the total value of gold holdings in billions of U.S. dollars and the debt as a percentage of the gross domestic product for nine countries (WordPress and Trading Economics websites, February 24, 2012).
Country Gold Value Debt
China 63 17.7
France 146 81.7
Germany 203 83.2
Indonesia 33 69.2
Italy 147 119
Netherlands 36 63.7
Russia 50 9.9
Switzerland 62 55
U.S. 487 93.2
Required:
a. Using the entire data set, develop the estimated regression equation that can be used to predict the debt of a country given the total value of its gold holdings.
b. Use residual analysis to determine whether any outliers or influential observations are present.
c. Compare the estimated slope for the new estimated regression equation to the estimated slope obtained in part (c).
Answers
Answer:
Regression model = y = 0.123X + 49.077
Influential point = US ; 487 ; 93.2
Slope with influential point present = 0.123
Slope without influential point = 0.342
Step-by-step explanation:
Given the data:
Gold value (X) :
63
146
203
33
147
36
50
62
487
Debt (Y) :
17.7
81.7
83.2
69.2
119
63.7
9.9
55
93.2
Using the online regression calculator :
The model obtained is :
y = 0.123X + 49.077
y = predicted variable ; debt
Slope = 0.123
x = predictor variable ; gold value
Intercept = 49.077
The influential observation :
US ; 487 ; 93.2
Dropping this observation from our data and fitting the model ;
Model without the influential point :
y = 0.342X+ 30.769
Slope with influential point present = 0.123
Slope without influential point = 0.342
please help, I’ll give brainliest to anyone who gets it’s right:) if you send a link, I’ll report sorry! :(
The figures below show the populations of 25 cities randomly selected from the 200 largest
cities in each of two countries. Based on these samples, about how much larger is the
median population of China's 200 largest cities than the median population of India's 200
largest cities?
Answers
Answer:
600 000
Step-by-step explanation:
took the same test nav
What properties and conventions do I need to understand (and be able to apply) in order to simplify and evaluate algebraic expressions?
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Answer:
So there are alot of various properties that could be used to solve different kinds of algebraic expressions. To solve a simple algebraic equation, most of the times u need to know the, addition, subtractions properties as well as division and multiplication division property.
Hope this helps!
cow is tied to a tree on grazing land with a 9 -meter rope What is the longest distance around that it can cover ?
Answers
Diameter = 18 m
Area = 254.34 squared m
Circumference = 56.52 m
I’m guessing is asking for the circumference because it says around
Write the fraction that represents the amount of candy bar each person would get when sharing three candy bars equally among seven
people.
Answers
Answer:
I think the answer is 1 2
5
NEED HELP ASAP! brainlist... A rectangular feild has a perimeter of 100 feet. Its length is 20 feet longers than its width. What are the dimensions of the feild?
answers:
15 ft by 35 ft
20ft by 30ft
35ft by 55ft
40ft by 60ft
Answers
Answer:
15 ft by 35 ft
Step-by-step explanation:
15 + 15 + 35 +35
=100 ft
Answer:
Perimeter = 2 × (length + width) -------(1)
Let width be w
Given length is 20ft longer than width, L = 20 + w
substitute L and w in (1)
perimeter = 2× ( 20 + w + w)
100 = 2 ×(20 + 2w)
50 = 20 + 2w
30 = 2w
w= 15feet
L = 20 + w = 20 + 15 = 35feet
option 1) 15 ft by 35ft
Can someone help me find the median first quartile second quartile third quartile and the interquartile range
for the questions
4.
5.
6.
7.
Answers
Q3. 37.5
IQR. 13.5
M. 28
5) Q1. 54.5
Q3. 61.5
IQR. 7
M. 59
6) Q1. 73.5
Q3. 82
IQR. 6.5
M. 76
7) Q1. 107
Q2. 125
IQR. 18
M. 118
Two bonds are available on the market as follows: Bond 1: Face value $250, 5 years to maturity at a simple interest rate of 5%. Bond 2: Face value $350, 3 years to maturity at a simple interest rate of r. Given that both bonds yield the same interest at maturity, calculate r. Round your answer to the nearest hundredth of a percent. Do NOT round until you have calculated your final answer.
Answers
Answer:
5.95%
Step-by-step explanation:
Bond 1:
I = 250(.05)5
I = $62.50
Bond 2:
62.5 = 350(3)r
62.5 = 1050r
r = 62.5/1050
r = 5.95%
Answer:
5.95%
Step-by-step explanation:
#11. The space occupied by a wooden block is 4cm × 2cm × 2cm=_____cm 3 Which is equivalent to_______mililiters
Answers
Answer:
Solution given;
The space occupied by a wooden block is 4cm × 2cm × 2cm=_16__cm 3 Which is equivalent to____16___mililiters
Step-by-step explanation:
we have
1cm³=1millilitre.