Select all statements below that are true about the box plots shown.
1) The interquartile range for the cars going North is higher than the interquartile range for the cars going South.
2) The median speed for the cars going North is higher than the median speed for the cars going South.
3) The interquartile range for the cars going South is 9.
4) The interquartile range for the cars going North is 27.
5) The maximum speed for the cars going North is higher than the maximum speed for the cars going South.
6. The lower quartile for the cars going North is lower than the lower quartile for the cars going South.
Answers
In other words, choices 2 and 4 are false while everything else is true.
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Explanation:
The boxplot, or box-and-whisker plot, is a visual way to display a five number summary. Recall that the five items of a five number summary are:
MinQ1MedianQ3MaxThe min and max are exactly what they sound like: They're the smallest and largest values. Visually, this means they are the left and right most edges of the whiskers. This assumes that there are no outliers on either side.
The visual representation of Q1 and Q3 are the left and right edges of the box in that order. The gap between them is the IQR (interquartile range). The wider the box, the larger the IQR will be. The diagram shows the north cars have a larger IQR compared to the south ones.
Choice 1) is one of the answers since it is a true statement.
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The median is visually shown as a vertical line somewhere inside the box. It doesn't have to be at the exact midpoint of the left and right edges. We could have the median be closer to the left edge for instance, as the north cars boxplot shows.
Choice 2 is false because the diagram shows that the cars going south have a higher median speed, due to that lower vertical line being more to the right compared to the upper vertical line. In other words, the median speed of the cars going south is 64 mph while the median speed of the cars going north is 62 mph.
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Choice 3 is a bit tricky since the left edge of the blue box isn't lined up with a value on the number line. But it appears to be halfway between 58 and 60, so it seems like Q1 = 59 for the southbound cars. The value of Q3 for the southbound cars is Q3 = 68. The IQR is therefore,
IQR = Q3 - Q1 = 68-59 = 9
It's very likely that choice 3 is true
-------------------
For the northbound cars, we have
Q1 = 56
Q3 = 71 (assuming the right edge of the green box is exactly in the middle of the tickmarks of 70 and 72)
So,
IQR = Q3 - Q1 = 71 - 56 = 15
We don't get a result of 27, so choice 4 is not a true statement.
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Choice 5 is a true statement. The max speed of the northbound cars is larger than the max of the southbound cars. This is because the right tip of the north's whisker is further to the right compared to the south's corresponding whisker.
-------------------
The lower quartile is another name for "Q1" or "first quartile". So we'll be looking at the left edges of each box. The northbound cars have a smaller Q1 value because
Q1 = 56 for northbound cars
Q1 = 59 (or somewhere between 58 and 60) for southbound cars
Therefore, choice 6 is true.
Related Questions
Algebra 1
No links
Answer fast
A-124
B-80
C-76
D-66
Answers
Answer:
B)
Step-by-step explanation:
x+36=102
x=102-36
x=66
Therefore, substitute x in your formula for x+14
66+14
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
(05.02)A farmer has decided to divide his land area in half in order to plant soy and corn Calculate the area of the entire area so he knows how much soil is needed. SOY #6 yards 6 yards CORN 2.5 yards 6.5 yards Each bag of soil covers 15 Square yards. How many bags should the farmer purchase? 0 1 bag O2 bags O 3 bags 4 bags
Answers
9514 1404 393
Answer:
4 bags -- the correct answer is marked
Step-by-step explanation:
The area of a parallelogram is given by the formula ...
A = bh
where b is the base length and h is the height.
Here, the base is the sum of lengths 2.5 yd and 6.5 yd. The height is given as 6 yd. So, the area is ...
A = (2.5 yd + 6.5 yd)(6 yd) = 54 yd²
At 15 yd² per bag, the farmer will need ...
(54 yd²)/(15 yd²/bag) = 3 3/5 bags
Assuming the farmer can purchase only whole bags, the farmer should purchase 4 bags of soil.
The area of the land is 54 square yards ((6.5+2.5)*6=54). To find out how many bags he’ll need, you want to divide the area by how much a bag of soil covers (54/15=3.6), and then you’ll round up to ensure he’ll have enough (3.6 becomes 4)
Simplify the expression:
62^7 +1 + 6xy + 8z^7 + 9 + 6yx
I WILL GIVE BRAINLIEST.
Answers
#2Need help ???!!! For an exam. Please don’t send any links !!! Cannot open. Thank you and answer below please and thank!
Answers
Hope this help and good luck on the final:)
what is the coefficient of the third term in the following expression? 4+9s+g
Answers
9514 1404 393
Answer:
1
Step-by-step explanation:
The third term is g. It is equivalent to 1g. (A coefficient of 1 is rarely shown.) The coefficient is the constant multiplier of the variable expression. In the third term, the coefficient is 1.
What is 2 15/16 as a decimal
Answers
Answer:
2.9375
2 15/16 as a decimal = 2.9375
2 15/16 in decimal form = 2.9375
Two and fifteen sixteenths as a decimal = 2.9375
2 and 15 over 16 as a decimal = 2.9375
Answer:
2.938
Step-by-step explanation:
Evaluate: 5 - 3x when X = -2
Answers
Answer:
Rewrite the equation as 5-3-2. -2 is x, as it says in the problem. All you have to do is solve, so you're answer will result in 0. :)
Answer:
Replace the variable x
with -2 in the expression.
5 − 3 x
Step-by-step explanation:
(HElP) which answers describe the shape below?
Answers
I think it would be A, B, D and E.
Suppose you roll a 6-sided number cube twice, and each time you
rolled a 4. a) Is the rolling of the number cube twice independent or
dependent events? b) What is the probability of rolling two fours? c)
Explain the difference between independent and dependent events.
Answers
b) 1/36
c) an independent event can include repeating an action like rolling a dice. A dependant event is the outcome of the first event and how it affects the second.
Select the correct answer what are the x-intercepts of these quadric function g(x)=-2(x-4)(x+1)
Answers
X = 4
X = -1
4. What type of line of symmetry does this triangle have? horizontal vertical This triangle has no line of symmetry. diagonal
Answers
What is the interquartile range?
133, 147, 118, 129, 115, 140
Pls help I don’t know
Answers
HELPPPP MEEEEE ITS 5 GRADE MATH IK HELP ME IM FAILING RN :(((((
Answers
Answer:
i think c
Step-by-step explanation:
Answer:
Gross income for an individual—also known as gross pay when it's on a paycheck—is the individual's total pay from their employer before taxes or other deductions. This includes income from all sources and is not limited to income received in cash; it also includes property or services received.
Net income- In business and accounting, net income is an entity's income minus cost of goods sold, expenses, depreciation and amortization, interest, and taxes for an accounting period.
I think its B
Step-by-step explanation:
What is the sum of the measures of angles 3,4,5?
Answers
Answer:
It's equal to 3² + 4² + 5² = 9 + 16 + 25 = 50
Which of the following graphs is the same as y = log1/2x?
Answers
Answer:
x=2^-y
A
Step-by-step explanation:
x | y
1 | 0
2 | -1
4 | -2
Options are:
X=2, Y=3
X=3, Y=2
X= -2, Y=3
X=4, Y=8
Answers
Answer:
x = 4, y = 8
Step-by-step explanation:
If the triangles are congruent by the HL Theorem, it means that the hypotenuse and one leg of the right triangle are congruent to the corresponding one leg and hypotenuse of the other.
Thus;
2x - 5 = y - 5 (Eqn 1) and
y - 3 = x + 1 (Eqn 2)
Thus:
Rewrite equation 1
2x = y - 5 + 5
2x = y
Substitute y = 2x in equation 2.
y - 3 = x + 1 (Eqn 2)
2x - 3 = x + 1
Collect like terms
2x - x = 3 + 1
x = 4
Substitute x = 4 in equation 1
2x - 5 = y - 5 (eqn 1)
2(4) - 5 = y - 5
8 - 5 = y - 5
3 = y - 5
3 + 5 = y
8 = y
y = 8
12 men can plant the paddy in a rupandehi of field in 10 hours how many men are required to plan the same in 6 hours only
Answers
Answer:
20 mens
Step-by-step explanation:
12 men can plant paddy in 10 hours
1 man can plant the paddy in (10 × 12) hours
10 × 12 / 6 = 20
Two functions are shown below.
f(x) = 1/3 (3)^x
g(x) - 2x + 4
What is the largest integer value of x such that f(x) < g(x)?
Answers
Answer: 3
Step-by-step explanation:
Given
[tex]f(x)=\dfrac{1}{3}3^x[/tex]
[tex]g(x)=2x+4[/tex]
For [tex]f(x)<g(x)[/tex] to be true, the domain is given by observing the graph of two i.e. [tex]x\in (-1.981,3.117)[/tex]. In this range [tex]g(x)[/tex] is greater than [tex]f(x)[/tex].
From the above domain largest integer that can satisfy the condition is 3.
What is the perimeter of the figure?
A. 34 cm
B. 36 cm2
C. 36 cm
D. 34cm2
Answers
Answer:
A. 34cm
Step-by-step explanation:
how can we rewrite the slope formula,so that we have point-slope form
Answers
(5x + 10) + (2x -3) =
Answers
Answer:
16
Step-by-step explanation:
I think sorry if I'm wrong
Answer: 7x+7
Step-by-step explanation:1
Eliminate redundant parentheses
(5x+10)+(2x-3)
(5x+10)+(2x−3)
5x+10+2x-3
5x+10+2x−3
2
Subtract the numbers
5x+10+2x−3
5x+7+2x
Combine like terms
5x+7+2x
7x+7
Solution
7x+7
find mHK please help
Answers
Answer:
66°
Step-by-step explanation:
When a radius(diameter in this case) is perpendicular to a chord, it bisects the chord and the arc formed by the chord. Because of this, we can say mHJ is equal to mKJ. We can write an equation:
mHJ = mKJ
and substitute:
x + 20 = 6x - 45
20 = 5x - 45
65 = 5x
x = 13
mHK is the sum of mHJ and mKJ, we can write mHK as the expression:
x + 20 + 6x - 45
7x - 25
We can substitute x:
7(13) - 25
91 - 25
66°
What is the unit price for an ounce of coffee if a 120-ounce package costs $9.60?
O $0.08 per ounce
O $0.80 per ounce
O $1.25 per ounce
O $110.40 per ounce
Answers
Price divided by ounces gives you the unit price.
$9.60/120 ounces = $0.08/ounce
Answer:
0.08
Step-by-step explanation:
solve the quadratic equation by completing the square: 6x²-11x-10=0
Answers
Step-by-step explanation:
6x² - 11x - 10 =0{use splitting middle term method} -60x²| |
-4. +15
(6x² - 4x) (15x - 10)2x( 3x - 2 ) +5( 3x - 2)(2x + 5) (3x - 2)2x = -5 or 3x = 2x = -5 or x = 2there fore x = 2Will give brainliest
Find the mean, median, mode, and range of the following data. Then, create a line plot, histogram, and a box‐and‐whisker plot for the data. 65, 75, 93, 95, 84, 67, 75, 65, 65, 72, 83, 74
Answers
Answer: There is a picture below of my work. Sorry for my sloppy hand writing.
Answer:
Step-by-step explanation:
84
Grayson bought a rectangular waste basket that is 3 1/2 feet long, 3/4 foot wide, and 1 foot high.
Answers
Answer:
cool and whats the question
Step-by-step explanation:
What is the converse of the statement below?
“If today is Friday, then tomorrow is Saturday."
Answers
Answer:
C (Sorry if its incorrect)
Step-by-step explanation:
I believe its C
Becuase a converse is switching the hypothis and conclusion around
Suppose we have two thermometers. One thermometer is very precise but is delicate and heavy (X). We have another thermometer that is much cheaper and lighter, but of unknown precision (Y). We would like to know if we can (reliably) bring the lighter thermometer with us into the field. So, we set up an experiment where we expose both thermometers to 31 different temperatures and measure the temperature with each. We get the following observations
x = 0, 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48, 52, 56, 60, 64, 68, 72, 76, 80, 84, 88, 92, 96, 100, 104, 108, 112, 116, 120
y = 0.02, 3.99, 7.91, 12.03, 16.09, 20.00, 23.98, 28.09, 31.94, 36.03, 40.00, 44.05, 47.95, 52.00, 55.87, 59.90, 63.91, 67.95, 72.11, 76.02, 80.01, 84.10, 88.06, 91.74, 96.02, 99.95, 103.87, 108.01, 111.99, 116.04, 120.03
We want to decide if these thermometers seem to be measuring the same temperatures. Let's use the thershold α= 0.1.
Required:
Write down the appropriate hypothesis tests for β1.
Answers
Answer:
a)H0: β1= 1 and Ha: β1 ≠1
b) The test statistic is____.t= b- β/ sb
c) The p-value is____.0.999144
(d) Therefore, we can conclude that:_____. there is not enough evidence to reject the null hypothesis.
The data provides no evidence at the 0.1 significance level that these thermometers are not consistent.
Step-by-step explanation:
This is called testing hypotheses about β, the population regression co efficient.
The null and alternate hypotheses are
H0: β1= 1 and Ha: β1 ≠1
The significance level is ∝=0.1 and ∝/2 is 0.05
The critical region at t ∝/2 (29)= t ≤ - 1.699 , t ≥ 1.699
The test statistic is
t= b- β/ sb
which has t distribution with υ= 31-2= 29 degrees of freedom.
Calculations
Ŷ = a +bX
b = SPxy /SS x= Σ(xi-x`)(yi-y`)/Σ(xi-x`)²
b = 39671.6/39680= 0.9998
a = y` - bx`
x`= 60
y`= 59.989
a = 59.989 -0.9998*60 = 0.001734
Syx²= Σ( yi -y`)²/ n-2= 39663.3857/ 29=1367.68965
Syx= 36.9822
Sb= Syx/ √∑ (x-x`)²
Sb= 36.9823/ √39680
Sb= 36.9823/ 199.984
Sb= 0.18493
x-x` y-y` (x-x`)² (x-x`)(y-y`)
-60 -59.969 3600 3598.1419
-56 -55.999 3136 3135.9458
-52 -52.079 2704 2708.1097
-48 -47.959 2304 2302.0335
-44 -43.899 1936 1931.5574
-40 -39.989 1600 1599.5613
-36 -36.009 1296 1296.3252
-32 -31.899 1024 1020.769
-28 -28.049 784 785.3729
-24 -23.959 576 575.0168
-20 -19.989 400 399.7806
-16 -15.939 256 255.0245
-12 -12.039 144 144.4684
-8 -7.989 64 63.9123
-4 -4.119 16 16.4761
0 -0.08903 0 0
4 3.921 16 15.6839
8 7.961 64 63.6877
12 12.121 144 145.4516
16 16.031 256 256.4955
20 20.021 400 400.4194
24 24.111 576 578.6632
28 28.071 784 785.9871
32 31.751 1024 1016.031
36 36.031 1296 1297.1148
40 39.961 1600 1598.4387
44 43.881 1936 1930.7626
48 48.021 2304 2305.0065
52 52.001 2704 2704.0503
56 56.051 3136 3138.8542
60 60.041 3600 3602.4581
∑0 0 39680 (SSx) 39671.6 (SPxy)
Putting the values
The test statistic is
t= b- β/ sb
t= 0.9998-1/ 0.18493
t=-0.0010815
Since the calculated t=-0.0010815 does not lie in the critical region t ∝/2 (29)= t ≤ - 1.699 , t ≥ 1.699 we conclude that these thermometers seem to be measure temperatures.
The p-value is ≈ 0.999144
there is not enough evidence to reject the null hypothesis.
Find the value of X and Y that make these triangles congruent by the HL theorem.
Answers
Answer:
x=5, y=6
Step-by-step explanation:
By the HL theorem, if the corresponding hypotenuses and one side of two triangles are equal, they are congruent.
So put the hypotenuses equal to each other, and put the side lengths equal to each other.
3x-2=2y+1
x=y-1
Sub 'y-1' into the first equation for x:
3(y-1)-2=2y+1
3y-3-2=2y+1
y=6
x=y-1=6-1=5