The stemplot below represents the number of bite-size
snacks grabbed by 37 students in an activity for a
statistics class.
Which of the following statements best describes the
distribution?
Number of Snacks
1 2 2 3 3 3 4 4
1 5 5 5 5 6 6 7 7 7 8 8 8 8 9 9
2 0 0 1 1 1 1 2 3
25 5 8
32
3. 8
4 2
4 5
The distribution of the number of snacks grabbed is
skewed right with a center around 18 and varies from
15 to 45. There are no outliers.
The distribution of the number of snacks grabbed is
symmetric with a center around 18 and varies from 12
to 45. There are possible outliers at 38, 42, and 45.
The distribution of the number of snacks grabbed is
skewed left with a center around 18 and varies from
12 to 45. There are possible outliers at 38, 42, and 45.
The distribution of the number of snacks grabbed is
skewed right with a center around 18 and varies from
12 to 45. There are possible outliers at 38, 42, and 45.
Key: 24 is a student who grabbed
24 snacks.
Answers
Answer:B
Step-by-step explanation:
The distribution of the number of snacks grabbed is skewed right with a centre around 18 and varies from 12 to 45. There are possible outliers at 38, 42, and 45. Therefore, option B is the correct answer.
What is the stem plot?A stem and leaf plot also called a stem and leaf diagram is a way of organizing data into a form that makes it easy to observe the frequency of different types of values. It is a graph that shows numerical data arranged in order. Each data value is broken into a stem and a leaf.
A stem and leaf plot is represented in form of a special table where each first digit or digit of data value is split into a stem and the last digit of data in a leaf. This " | " symbol is used to show stem values and leaf values and it is called as stem and leaf plot key.
First, we can see if the graph is symmetric. A symmetric graph is even on both sides of the centre. As there are a lot more students that grabbed a small number of snacks, the data is not even around the centre (which is somewhere around 20 or 30 snacks). This means that the graph is not symmetric, making the second answer incorrect.
Next, we can check if the graph is skewed right or left. If the left of the graph represents a smaller amount of snacks and the right of it represents a higher number of snacks, we can see that most of the data is on the left of the graph. There are a few values to the right, but the overwhelming amount of data is on the left, making the distribution skewed to the right. This keeps the first and last answers possible,
Moreover, we can find the centre of the distribution. This is generally equal to the median, which is 18, so the centre is around 18.
After that, we can see what values vary. The lowest tens value is 1, and the lowest value in that is 2, making the lowest value 12. Similarly, the highest tens value is 4, and the highest value there is 5, making the range 12 to 45. This leaves the last answer, but we can check the outliers to make sure.
With the data, we can calculate the first quartile to be 15, the third quartile to be 21.5, and the interquartile range to be 21.5-15 = 6.75. If a number is less than Q₁ - 1.5 × IQR or greater than Q₃ + 1.5 × IQR, it is a potential outlier. Applying that here, the lower bound for non-outliers is 15 - 6.5 × 1.5 = 5.25, and the upper bound if 21 + 6.5 × 1.5 = 30.75. No values are less than 5.25, but there are four values greater than 30.75 in 32, 38, 42, and 45. There are possible outliers at 38, 42, and 45, matching up with the last answer.
Therefore, option B is the correct answer.
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https://brainly.com/question/9125085.
#SPJ2
Related Questions
Suppose brine containing 0.2 kg of salt per liter runs into a tank initially filled with 500 L of water containing 5 kg of salt. The brine enters the tank at a rate of 5L/min. The mixture, kept uniform by stirring, is flowing out at the rate of 5 L/min. (The same conditions as in the previous problem). After 10 min, a leak develops in the tank and an additional liter per minute of mixture flows out of the tank.
(a) Find the concentration, in kilograms per liter, of salt in the tank after 10 min. [Hint: Let A denote thenumber of kilograms of salt in the tank at t minutes after the process begins and use the fact that rate of increase in A = rate of input - rate of exit.
(b) After 10 min, a leak develops in the tank and an additional liter per minute of mixture flows out of the tank. What will be the concentration, in kilograms per liter, of salt in the tank 20 min after the leak develops?
Answers
Answer:
(a) 0.288 kg/liter
(b) 0.061408 kg/liter
Step-by-step explanation:
(a) The mass of salt entering the tank per minute, x = 0.2 kg/L × 5 L/minute = 1 kg/minute
The mass of salt exiting the tank per minute = 5 × (5 + x)/500
The increase per minute, Δ/dt, in the mass of salt in the tank is given as follows;
Δ/dt = x - 5 × (5 + x)/500
The increase, in mass, Δ, after an increase in time, dt, is therefore;
Δ = (x - 5 × (5 + x)/500)·dt
Integrating with a graphing calculator, with limits 0, 10, gives;
Δ = (99·x - 5)/10
Substituting x = 1 gives
(99 × 1 - 5)/10 = 9.4 kg
The concentration of the salt and water in the tank after 10 minutes = (Initial mass of salt in the tank + Increase in the mass of the salt in the tank)/(Volume of the tank)
∴ The concentration of the salt and water in the tank after 10 minutes = (5 + 9.4)/500 = (14.4)/500 = 0.288
The concentration of the salt and water in the tank after 10 minutes = 0.288 kg/liter
(b) With the added leak, we now have;
Δ/dt = x - 6 × (14.4 + x)/500
Δ = x - 6 × (14.4 + x)/500·dt
Integrating with a graphing calculator, with limits 0, 20, gives;
Δ = 19.76·x -3.456 = 16.304
Where x = 1
The increase in mass after an increase in = 16.304 kg
The total mass = 16.304 + 14.4 = 30.704 kg
The concentration of the salt in the tank then becomes;
Concentration = 30.704/500 = 0.061408 kg/liter.
Calculating the salt concentration per liter of water we will find:
(a) [tex]0.288 kg/liter[/tex]
(b) [tex]0.061408 kg/liter[/tex]
The mass of salt entering the tank per minute:
[tex]X= (0.2)( 5) = 1 kg/minute[/tex]
The mass of salt exiting the tank per minute:
[tex]\frac{5 * (5 + x)}{500}[/tex]
The increase per minute, Δ/dt, in the mass of salt in the tank is given as follows;
[tex]\frac{\Delta}{dt} = \frac{x - 5 * (5 + x)}{500}[/tex]
The increase, in mass, Δ, after an increase in time, dt, is therefore;
[tex]\Delta = (x - 5 * (5 + x)/500)dt[/tex]
Integrating with a graphing calculator, with limits 0 at 10, gives;
[tex]\Delta = (99X - 5)/10[/tex]
Substituting x = 1 gives:
[tex](99)( 1 - 5)/10 = 9.4 kg[/tex]
The concentration of the salt and water in the tank after 10 minutes = (Initial mass of salt in the tank + Increase in the mass of the salt in the tank)/(Volume of the tank). The concentration of the salt and water in the tank after 10 minutes:
[tex](5 + 9.4)/500 = (14.4)/500 = 0.288[/tex]
The concentration of the salt and water in the tank after 10 minutes = 0.288 kg/liter.
(b) With the added leak, we now have;
[tex]\frac{\Delta}{dt} = \frac{ (x - 6 ) (14.4 + x}{500} \\\Delta = \frac{(x - 6)(14.4 + x)}{500} dt[/tex]
Integrating with a graphing calculator, with limits 0 at 20, gives;
[tex]\int\limits^{20} _0 {\frac{(x - 6)(14.4 + x)}{500} dt}[/tex]
Where x = 1:
[tex]\Delta = 19.76(1) -3.456 = 16.304[/tex]
The increase in mass after an increase in = 16.304 kg. The total mass:
[tex]16.304 + 14.4 = 30.704 kg[/tex]
The concentration of the salt in the tank then becomes;
[tex]30.704/500 = 0.061408 kg/liter[/tex]
Learn more: brainly.com/question/11762787
Slove 4(5x-2)= 2(9x+3)
Answers
Answer:
x=7
Step-by-step explanation:
divide both sides by two. distribute on the left side. minus 9x on both sides. add 4 on both sides, and you get 7.
Answer:
x = 7
Step-by-step explanation:
Firstly, use the distributive property to distribute the 4 and the 2 respectively.
[tex]4(5x-2) = 2(9x+3)[/tex]
[tex]20x-8=18x+6[/tex]
Then, isolate the variable. Start by subtracting 18x from both sides.
[tex]2x - 8 = 6[/tex]
Add 8 to both sides.
[tex]2x = 14[/tex]
Divide both sides by 2.
[tex]x=7[/tex]
What is the slope of the line that passes through the points (-8, -6) and (-18, 6) ? Write your answer in simplest form.
Answers
Answer:
y=12/10-15.6
Step-by-step explanation:
The slope of the line is [tex]-\frac{6}{5}[/tex].
To understand more, check below explanation.
Slope of line:The slope of line passing through [tex](x_{1}, y_{1})[/tex] and [tex](x_{2}, y_{2})[/tex] is computed as,
[tex]m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
Given that , points are (-8, -6) and (-18, 6)
So that,
[tex]Slope=\frac{6-(-6)}{-18-(-8)}\\ \\Slope=\frac{12}{-10}\\ \\Slope=-\frac{6}{5}[/tex]
Hence, the slope of the line is [tex]-\frac{6}{5}[/tex].
Learn more about the slope of line here:
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Can anyone help?
Solve for x. SHOW YOUR WORK.
Answers
Answer:x=9
Are you in K12 as well ? If so do you have Mrs.Bisslessi I need help with Unit 4.07 the four spheres of earth
Step-by-step explanation:
4x+2=7x-25
2+25=7x-4x
27=3x
X=27 ÷3
X=9
The value of y varies directly with x. When y=30, x=0.75. What is the value of y when x=5.25?
Answers
Answer:
210
Step-by-step explanation:
According to this question, y varies directly with x. Mathematically, This means that:
y =kx
Where k is the constant variable
If y=30 and x=0.75, then k will be;
k = y/x
k = 30/0.75
k = 40
Since k = 40,
y = 40x
Therefore, when x=5.25, the value of y will be:
y = 40x
y = 40 × 5.25
y = 210.
can someone help simplify this 6n+5(10n−7)
Answers
Answer:
21n-35
Step-by-step explanation:
6n+5(10n-7)
distribute 5
6n+15n-35
add 6 and 15
21n-35
you cant subtract 21 and -35 because they arent like terms
An office building has three air conditioning units, one for each office. Each unit runs only when employees are
working. The tables below show the number of hours employees worked at each office over a three-month period
and the total air conditioning electric costs for the entire office for each month.
June
July
August
Number of Hours Worked
Unit A
Unit B
184
207
174
198
168
189
Unit C
276
264
242
w
Total Air Conditioning Electric Costs
June
$142.60
July
$135.96
August
$128.30
How much does it cost to run Unit A per hour?
Answers
Answer:0.22
Step-by-step explanation:
Answer:$0.22
Step-by-step explanation:
EDGE
What is m<1?
Plzzz I need help
Answers
Answer:
130 bc its the alternate exterior angle of angle D
Step-by-step explanation:
Answer:
d
Step-by-step explanation:
interior angle for triangle is 180 if you want to find it you have to find interior angle for d and then 180-70-the interior angle for d and then you will get answer for b2 and then 180-b2 and you will get 120
how do you Factor in algebra 2?
for example:
r^2-r-20
and
x^2+8x+12
Answers
(r-5)(r+4)
(x+6)(x+2)
Step-by-step explanation:
1 r^2 - 1 r - 20
multiply the first and third terms
-20 times 1 equals -20. take the -1
*what are two numbers that multiply together that equals -20 but add to equal -1?
-5 times 4 equals -20
-5 plus 4 equals -1
(r-5)(r+4)
1 x^2 + 8 x + 12
multiply the first and third terms
12 times 1 equals 12. take the 8
*what are two numbers that multiply together that equals 12 but add to equal 8?
6 times 2 equals 12
6 plus 2 equals 8
=(x+6)(x+2)
Franco read of a chapter of his history book in § of an hour. At this rate, how many chapters of his history book
can he read in 1 hour?
Answers
Answer:
1 7/8
Step-by-step explanation:
dont know lol but trust me
what is the sum of the place values of the number 6,453
Answers
Answer:
Thousands Hundreds Tens Ones6 4 5 3
Step-by-step explanation:
Number x Multiplier = Value6 x 1,000 6,000
4 x 100 400
5 x 10 50
3 x 1 3
Add up all of the values and you get 6,453.
Find the approximate side length of a square game board with an area of 105 square inches
Answers
Answer:
I just did gor the points
Step-by-step explanation:
sorry
Line a is perpendicular to line b, and neither line is vertical. Which statement(s) below are TRUE? I: The slopes of line a and line b are the same. II: One line has a positive slope, the other line has a negative slope. III: Line a and line b will never intersect. IV: The slope of one of the lines is undefined.
Answers
Answer: One line has a positive slope, and the other has a negative slope.
Step-by-step explanation: When lines are perpendicular, that means their slopes are the exact opposite of each other because they intersect at a right angle.
James went to the amusement park. He had $20. He spent $5.50 on a hamburger and
$1.25 on a bottle of apple juice. He spent the rest of the money on rides. Each ride costs
$.75. On how many rides did James go?
Please it’s urgent, write the steps.
Answers
Answer:
17
Step-by-step explanation:
5.50 + 1.25 = 6.75
20 - 6.75 = 13.25
13.25 / .75 = 17
he will have $0.50 left
Answer:
I know about your account Logridio. I don't know if I should tell Ms. Rragami. ;)
is X -3 + Y3 in the simplest form
Answers
Answer:
I believe it's Y but I'm not 100 percent sure
What is -5/8 + 3/4 ?
Answers
Answer:
0.125
Step-by-step explanation:
Which of the following statements is FALSE?
All rectangles are parallelograms.
All kites are rectangles.
All parallelograms are quadrilaterals.
All squares are rhombuses.
Answers
ALL KITES ARE RECTANGLES
Answer:All kites are rectangles.
Step-by-step explanation: Just did the quiz
Can anyone tell me what the correct answer for this is? Thank you.
Answers
Answer:
3x^2-5x-2
Step-by-step explanation:
(9x^3-18x^2-x+2)÷(3x-1)
[9x^2(x-2)-(x-2)]÷(3x-1)
[(x-2)×(9x^2-1)]÷(3x-1)
(x-2)×(3x-1)×(3x+1)÷(3x-1)
(x-2)×(3x+1)
3x^2-x-6x-2
3x^2-5x-2
Budget Rental Car charges an initial fee of $20 plus an additional $30 per day to rent a car. Enterprise Rental Car charges an initial fee of $36 plus $28 per day. For what number of days is the total cost charged by the companies the same?
I need an answer ASAP!! :)
Answers
Answer:
8 days
Step-by-step explanation:
how do you find the = in alterndte exterior angles
Answers
Answer:
To find alternate exterior angles, look at that outside space for each crossed line, on different sides of the transversal.
Step-by-step explanation:
Hope This Helps!
Plz Mark Brainliest!
You have to find the transversal. Then you have to the interior and exterior angles, and then find it!
Graph: Y-3 =1/2(x+2)
Answers
Answer:
It will pass in between (-8,0) on the x-axis and (0,4) on the y axis
Step-by-step explanation:
Here is the picture, if you ever need help go to desmos.com.
write an expression for each phrase. *will give BRAINLIEST*
5 times the quantity x plus 6
&
32 divided by the quantity y+12
Answers
Answer:
5 times the quantity x plus 6
5x + 6
32 divided by the quantity y + 12
[tex]\frac{32}{y+12}[/tex]
Step-by-step explanation:
Pls do mark me brainliest:)
32
y
+
12
or
32
y
+
12
Explanation:
The statement does really indicate clearly enough what is meant.
It could be interpreted as:
32
divided by,
y
plus
12
which would mean that
32
is divided by the sum of
y
and
12
32
y
+
12
OR
It could be read as
32
divided by
y
, plus
12
32
y
+
Jill spends $525 for monthly bills. Of this amount she spends 110 on her cell phone bill and 25% on her car payment. The remainder pays her utilities. How much money does she spend on utilities?
Answers
Answer:
283.75
Step-by-step explanation:
525/4=131.25
131.25+110=241.25
525-241.25=283.75
(-5)- 2 x (-9) + 6
i need the answer asap
Answers
Add − 9 and 6.
[tex]- 5 - 2x, -3[/tex]
estimate the value of 9.9²x1.79
Answers
Someone plz answer
the school jimmy goes to is selling tickets to a fall musical. om the first day of ticket sales the school sold 9 adult tickets and 14 child tickets for $101. The school took in $88 on the second day by selling 12 adult tickets and 7 critical tickets. What is the price each of one adult ticket and one child ticket.
Answers
Answer:
if my math is correct it is $4.39
Step-by-step explanation: do not fully trust this
Karen is taking a standardized test. The more questions she answers correctly, the greater her final test score will be.
Which of the variables is independent and which is dependent?
Independent
[ Select ]
Dependent
[ Select ]
Answers
Step-by-step explanation:
independent is questions answered correct
dependent is final test sore.
i think
What is 5g When is g Is 3?
Answers
Answer:
15
Step-by-step explanation:
5g
g becomes 3, so 5*3
=15
Answer:
15
Step-by-step explanation:
5g g=3
5(3)
15
PLEASE HELP ME what are the slope and the y- intercept of the liner function that is represented by the graph.
Answers
Callie reads 5 pages in 20 minutes. She spends the same amount of time per page.
How long will it take Callie to read 11 pages?
A.50 minutes
B.23 minutes
C.44 minutes
D.65 minutes
Answers
Answer:
44
Step-by-step explanation:
You said it
