The line plots below show the numbers of hours for the 12 students in each class.
The distance between the means of Class A and Class B is 4 hours.
Find the mean absolute deviation (MAD) for each class.
Answers
Answer:
for class A
mean ={3+4+8(5)+6+7)/12}=5hours
mean absolute deviation (MAD) for A
=[|5-3|+|5-4|+8|5-5|+|5-6|+|5-7|]/12=6/12=1/2
for class B
mean =4 hours given
mean absolute deviation (MAD) for B
=[|4-7|+|4-8|+8|4-9|+|4-10|+|4-11|]/12=60/12=5
Answer:
See belowStep-by-step explanation:
class-1:we are given some data 3,4,5,5,5,5,5,5,5,5,6,7
we want to figure out the MAD (Mean absolute deviation) of the given database
remember that,
[tex] \rm\displaystyle \: MAD = \frac{1}{n} \sum_{i = 1} ^{n} |x_{i} - m(x)| [/tex]
where m(X) represents the mean of the given database and [tex]|x_{i}-m(X)|[/tex] tells us to subtract every data with the got mean and n represents the number of data
let figure out m(X)
[tex] \rm\displaystyle \: m(x) = \frac{3 + 4 + 5(8) + 6 + 7 }{12} [/tex]
simplify multiplication:
[tex] \rm\displaystyle \: m(x) = \frac{3 + 4 + 40 + 6 + 7 }{12} [/tex]
simplify addition:
[tex] \rm\displaystyle \: m(x) = \frac{60}{12} [/tex]
simplify substraction:
[tex] \rm\displaystyle \: m(x) = 5[/tex]
let's figure out [tex]\sum[/tex] and [tex]|x_i-m(X)|[/tex]
[tex] \displaystyle\begin{array} {|c |c| } \hline |x_{i} - m(x) | & \displaystyle\sum_{i = 1} ^{n} |x_{i} - m(x) | \\ \hline |3 - 5 | & 2 \\ \hline | 4 - 5 | &1 \\ \hline |5(8) - 5(8)| &0 \\ \hline |6 - 5|&1 \\ \hline |7 - 5| &2 \\ \hline \\ \text{total} & 5 \\ \hline\end{array}[/tex]
last part let's figure out MAD
[tex] \displaystyle \: MAD = \frac{5}{12} [/tex]
simplify division:
[tex] \displaystyle \: MAD = 0.42[/tex]
Class-2:likewise class-2
given database 7,8,9,9,9,9,9,9,9,9,10,11
figure out m(X)
[tex] \rm\displaystyle \: m(x )= \frac{7 + 8 + 9(8) + 10 + 11}{12} [/tex]
simplify multiplication:
[tex] \rm\displaystyle \: m(x )= \frac{7 + 8 + 72 + 10 + 11}{12} [/tex]
simplify addition:
[tex] \rm\displaystyle \: m(x )= \frac{108}{12} [/tex]
simplify division:
[tex] \rm\displaystyle \: m(x )= 9[/tex]
likewise
figure out [tex]\sum[/tex] and [tex]|x_i-m(X)|[/tex]
[tex] \displaystyle\begin{array} {|c |c| } \hline |x_{i} - m(x) | & \displaystyle\sum_{i = 1} ^{n} |x_{i} - m(x) | \\ \hline |7 - 9 | & 2 \\ \hline | 8- 9 | &1 \\ \hline |9(8) - 9(8)| &0 \\ \hline |10 - 9|&1 \\ \hline |11- 9| &2 \\ \hline \\ \text{total} & 5 \\ \hline\end{array}[/tex]
figure out MAD
[tex] \displaystyle \: MAD = \frac{5}{12} [/tex]
simplify division:
[tex] \displaystyle \: MAD = 0.42[/tex]
Related Questions
PLEASE HELP ME! I AM STUCK AND THIS IS DUE IN 5 MINUTES! I WILL MARK BRAINIEST!!
5. Michel wants to buy his mother handmade chocolates for Mother’s Day. He has $15.00 to spend. The price of each type of chocolate is given below.
Fudge centres: $0.60 Nut clusters: $0.75 Truffles: $0.80
Michel has $15.00. How many of each type of chocolate can he buy if buys only one type? Show your work. *Hint: create an equation for each type*
Fudge centres: Nut clusters: Truffles:
Michel decides to buy all three types of chocolates, instead of choosing just one type. If Michel buys the same number of all three types, how many can he buy and stay within his budget? Show your work
Answers
Answer:
25 fudge centres, 20 nut clusters, 18 truffles, 6 of each type of chocolate
Step-by-step explanation:
Michel has a total of $15.00
So, if he only has to buy one type, we just divide the total amount by the price, like this:
[tex]\frac{15.00}{0.60}[/tex] = 25 fudge centres
[tex]\frac{15.00}{0.75}[/tex] = 20 nut clusters
[tex]\frac{15.00}{0.80}[/tex] = 18.75, so we round down = 18 truffles
If he buys the same of number of each type, we know that:
0.60x + 0.75x + 0.80x ≤ $15.00
2.15x ≤ 15.00
x ≤ 6.977...
This means that Michel can only buy 6 of each type of chocolate.
Answer:
If he buys only one type, he can buy 25 fudge centers OR 20 nut clusters OR 18 truffles.
The equations you can write to solve those are:
0.6f = 15
0.75n = 15
0.8t = 15
If he buys an equal number of each then
0.6f + 0.75n + 0.8t = 15
and
f = n = t
He can buy 6 of each without going over his budget.
7. Find the value of x in the triangle.
15°
Answers
Answer:
33 degress
hope i helped :)
Step-by-step explanation:
PLEASE HELP ME
2x+45=90
Answers
Answer:
x = 45/2 = 22.5 cm
Step-by-step explanation:
2x + 45 = 90
2x = 90- 45= 45
2x = 45
x = 45/2 = 22.5 cm
plz mark my answer as brainlist plzzzz.
hope this will be helpful to you .
if you find it useful.
what is 15 divided by pina colada= 1.43/8
Answers
Answer:
111.678
Step-by-step explanation:
The cable company charges $95 a month plus a $45 set up fee. If Mason has paid $615 for n number
of months, how many months did he pay for?
Answers
Answer:
6 months
Step-by-step explanation:
615=95n+45
-45 from 615 =570
570=95n
divide both side by 95
Answer:
6 Months
Step-by-step explanation:
95 x 6 is 570. If you add the set up fee, it comes down to 615 dollars.
Hope this helps! Have a great rest of your day/night. :)
(x2+3x+2)+(3x2–x+1) Use algebra to find the sum
Answers
Answer: -2x²+2x+3
Step-by-step explanation:
Factoring -2x2+2x+3
The first term is, -2x2 its coefficient is -2 .
The middle term is, +2x its coefficient is 2 .
The last term, "the constant", is +3
Step-1 : Multiply the coefficient of the first term by the constant -2 • 3 = -6
Step-2 : Find two factors of -6 whose sum equals the coefficient of the middle term, which is 2 .
-6 + 1 = -5
-3 + 2 = -1
-2 + 3 = 1
-1 + 6 = 5
Observation : No two such factors can be found !!
Conclusion : Trinomial can not be factored
how to graph the absolute value of 2x-6 is less than 4 on a number line
Answers
Answer:
can u help me on my question please pleasee
A baker needs 40 fluid ounces of milk for a chocolate cake recipe and 64 fluid ounces of milk for a carrot cake recipe. How many cups of milk does the baker need for the carrot cake and the chocolate cake recipes combined?
Answers
Answer:
104 ounces
Step-by-step explanation:
40+64= 104
.......
Sofia rides her bike at a constant speed.
Sofia plots points on the coordinate plane below to show amounts of time it takes her to bike certain distances.
Which of the following ordered pairs could Sofia add to the graph?
Answers
Answer:
Its up then to the left power is 13 so (98-=) is the 4
Step-by-step explanation:
It works because if you use the electron theory by leonard jefford then it will be 98-74wis the 4 to the 13
Answer:
Step-by-step explanation:
its c
(6,60)
What is the m < BDC?
Answers
what's the equation of the parabola in intercept form
Answers
Answer:
( o ,-1 ) y- intercept
( 2 , - 1 ) extra point
Step-by-step explanation:
ax2+bx+cy=ax2bx2
Help me real fast with this one
Answers
Answer:
The answer should be 75 if i did the math right
Answer:
Step-by-step explanation:
You have to add up all the numbers, then divide by how many numbers there are. In other words it is the sum divided by the count.
So in this case it would be:
46+56+64+64+72+76+77+82+94+96+99.
And the answer for the first step is: 826.
Next Step!
826 will have to be divided by 11.
Because there are 11 numbers that had to be added.
So 826÷11=75.
I hope this helps :)5+4+5+123456= ??
what is it and something to make your day. I psi = photoshopped it
Answers
Answer:
Step-by-step explanation:
12,359 lolll
Answer:
123470
easy question dude plz mark me as brainliest
cual es la mitad de 2,375
Answers
Can you help me pls ¿?
Answers
Answer:
Step-by-step explanation:
The value of x is 1. Find the value of each expression and type
the expressions in the table from least to greatest:
1-X
X-1
-1 + x
I
1st
2nd
3rd
4th
Answers
Answer:
can I get a hiaaa
How was the government able to make children go to residential school?
Write an equation for the hanger diagram and then us the sketch to show how to solve the equation algebraically.
Answers
Answer:
3x + 2 = 3
Step-by-step explanation:
3x + 2 = 3 Subtract 2 from both sides
3x = 1 Divide both sides by 3
x = 1/3
please help me this is due tonight and i am NOT good at math :(
Answers
Answer:
AC = 8.2 m
AD = 8.57 m
Step-by-step explanation:
The answers were rounded to the nearest hundredth, hope this helps!
I need to find the intersection
9=x+y, 11=x^2+y
Answers
[tex]3 {x}^{2} - 5x = 2[/tex]
Answers
[tex]3x^2-5x=2[/tex]
☁ Answer:[tex]x=2[/tex]☁ Solution:[tex]3x^2-5x=2[/tex][tex]3x2-5x-2=2-2[/tex][tex](3x+1)(x-2)=0[/tex][tex]3x+1=0[/tex][tex]x=2[/tex]☁ 좋은 하루 되세요!! ☁ -HunnyPeachyA cylinder has a radius of 40ft and height of 17ft. What is the exact surface area of the cylinder?
A. 1360ft^2
B. 3200ft^2
C. 4560ft^2
D. 680ft^2
Answers
Write an equation for the hanger diagram and then us the sketch to show how to solve the equation algebraically.
Answers
Answer:
2y + 3 = 6
Step-by-step explanation:
2y + 3 = 6 Subtract 3 from both sides
2y = 3 Divide 2 from both sides
y = 3/2
What is the volume, in cubic feet, of the cylinder below?
6 ft
8 ft
Answers
Answer:
226.1946711 cubic ft
Step-by-step explanation:
volume of cylinder = πr²h
diameter (d)=6ft
r= d/2 = 6/2=3ft
h= 8ft
putting all values in the formula and calculating the volume
Please I need help with this! Answer it and I’ll MARK YOU BRAINLEST
Answers
Answer:
125, 20
Step-by-step explanation:
Answer:
1.95
Step-by-step explanation:
X= 10
2×10squared(10-5)/ 10×10
2×100-5/10×10
200-5/10×10
195/10×10
195/100
1.95
Sierra is saving for a bike and helmet.
The bike costs $158.78 and the
helmet costs $28.96, and both include
tax. If she has saved $136 from her
babysitting job, how much more does
she need to earn in order to buy the
bike and helmet?
Answers
Landon used a semicircle, a rectangle and a right triangle to form the figure shown.
6 cm
4 cm
Which is the best estimate of the area of the figure in square centimeters?
10 cm
А.
. 44 cm²
B.
26 cm?
с
38 cm
D
52 cm
Answers
Which of these cylinders has the same volume as one with a radius of 4 ft and a height of 9 ft?
Answers
Answer:
B
Step-by-step explanation:
V=π4²×9=144π
for B
V=π3²×16=144π
Can you help me (There's a photo) you have to do grater then and = to
Answers
Answer:
Top left: > Top right: > Bottom left: < Bottom right: >
Step-by-step explanation:
Answer:
-0.25 > -0.3
9.999 > 9.975
3(5/8) < 30/8
10(2/3) < 61/6
En un salon de una academia solo asisten a un examen los 3/4 de los alumnos y de estos aprueban los 4/5 ; si los desaprobados son 21 ¿cuantos alumnos hay en dicha aula?
Answers
Answer:
Hay 140 alumnos en dicha aula.
Step-by-step explanation:
Primero, debes encontrar la cantidad de alumnos que aprobaron que corresponde a 4/5 usando una regla de tres teniendo en cuenta que sabes que 1/5 corresponde a 21 que son los estudiantes que no aprobaron:
1/5 → 21
4/5 → x
x=(4/5*21)/1/5
x=(84/5)/(1/5)
x=84*5/5*1
x=420/5
x=84
Ahora, puedes sumar el número de estudiantes que aprobaron con el número de estudiantes que no aprobaron para encontrar el total que estudiantes que asistieron al examen:
84+21=105
Después, dado que sabes que 105 estudiantes corresponde a 3/4 de los alumnos en un aula, puedes usar una regla de tres para encontrar el número de estudiantes en el aula:
3/4 → 105
1 → x
x=(1*105)/(3/4)
x=(105/1)/(3/4)
x=105*4/1*3
x=420/3
x=140
De acuerdo a esto, la respuesta es que hay 140 alumnos en dicha aula.
simplify within parenthesis
Answers
Answer:
First Space: 49
Second Space: 33
Third Space:-99
Fourth Space: -99
Fifth Space: 10
Sixth Space: -89
Step-by-step explanation:
First Space: for the first space you would do -7 times -7 because it is squared so you would get 49 because a negative and a negative and a negative make a positive.
Second Space: For the second space you have to do 49-16 because you already found the first space and the answer would be 33.
Third Space: For the third space you would do the answer you got from the second space which is 33 and multiply by -3 because -3 is outside the brackets. The answer would be -99.
Fourth Space: You would just put the same thing as the third space and put -99.
Fifth space: To find the fifth space you have to do 4 ÷ 2/5. To find this part you have to do 4 times the reciprocal (when you flip the fraction) and you would get 4 times 5/2. Then you can cross the denominator (bottom of the fraction) and make the 4 a 2 because 4 ÷ 2=2. Next you do 2 times 5 and get 10 as a answer.
Sixth Space: For the final answer you would use the fourth and fifth space. You would do -99+10 which is -89.
Hopefully this helps :)