Answer:
After correcting the error, IQR remains unchanged while standard deviation reduced drastically from 26.3 to 2.04
Step-by-step explanation:
Given the data:
3 5 6 7 7 8 8 8 9 9 9 10 102
Ordered data: 3, 5, 6, 7, 7, 8, 8, 8, 9, 9, 9, 10, 102
The interquartile range (IQR) for the data:
IQR = Q3 - Q1
Q3 = 3/4(n + 1) th term.
n = sample size = 13
Q3 = 3/4(14) = 10.5th term
Q3 = (10 + 11)th term / 2 = (9+9)/2 = 9
Q1 = 1/4(14) = 3.5th term
Q3 = (3 + 4)th term / 2 = (6+7)/2 = 6.5
IQR = Q3 - Q1 = 9 - 6.5 = 2.5
THE STANDARD DEVIATION :
Sqrt[Σ(X - m)²/n-1]
Using calculator :
Standard deviation = 26.3
Correcting error in the data:
3 5 6 7 7 8 8 8 9 9 9 10 10.2
Q3 = 3/4(n + 1) th term.
n = sample size = 13
Q3 = 3/4(14) = 10.5th term
Q3 = (10 + 11)th term / 2 = (9+9)/2 = 9
Q1 = 1/4(14) = 3.5th term
Q3 = (3 + 4)th term / 2 = (6+7)/2 = 6.5
IQR = Q3 - Q1 = 9 - 6.5 = 2.5
THE STANDARD DEVIATION :
Sqrt[Σ(X - m)²/n-1]
Using calculator :
Standard deviation = 2.04
After correcting the error, IQR remains unchanged while standard deviation reduced drastically from 26.3 to 2.04
Joel is looking at payment plans for the gym.
Plan A: $25 per month plus $145 to start
Plan B: $50 per month
How many months would it take for Plan A to be cheaper than Plan B?
Answer:
5 months
Step-by-step explanation:
plan a: $145 +$25x ........ $145 + ($25 x 4)= $245
plan b: $50x.......... $50 x 5= $250
An employee at a shoe store has observed that taller customers have larger shoe sizes than customers who are shorter. She knows that shoe sizes are based on foot length, so she hypothesizes: Compared with shorter people, taller people have longer feet. Look for patterns in the data. Describe any patterns you find.
Answer:
hello some information related to your question is missing
answer : The pattern discovered supports the hypothesis that taller customers have larger shoe sizes but with some exceptions and this exceptions are ; at Height 5ft 10 inches two people are seen to have different shoe sizes i.e. Eduardo with shoe size : 10.25 inches and Susan with shoe size : 10inches. another exception from the pattern is Lily having a height of 5 ft and shoe length of 9 inches .
Step-by-step explanation:
From the data given the pattern discovered supports the hypothesis that taller customers have larger shoe sizes but with some exceptions and this exceptions are ; at Height 5ft 10 inches two people are seen to have different shoe sizes i.e. Eduardo with shoe size : 10.25 inches and Susan with shoe size : 10inches. another exception from the pattern is Lily having a height of 5 ft and shoe length of 9 inches .
you walk 1/5 miles to a music store. Then you walk another 2/3 miles to shoe store. How many miles have you walked
Answer:
1 whole mile
Step-by-step explanation:
the LCD is 15. 5x3=15. what we do to the denominator we do to the top so 1x3=3 now we have 3/15.
now do that with the other fraction
3x5=15
2x5=12
12/15+3/15= 15/15= 1 whole
In a sample of 31 kids, their mean time on the internet on the phone was 36.5 hours with a sample standard deviation of 8.3 hours. Which distribution would be most appropriate to use, when we assume these times are normally distributed
Answer:
Normal distribution
Step-by-step explanation:
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
In this question:
Sample of 31 kids, of a normally distributed variable. So, by the Central Limit Theorem, the most appropriated distribution to use is the normal distribution.
3x+6=36 ?????? ???????
Answer:
x=10
Step-by-step explanation:
During a test drive, a self-driving car travels a distance of 50 miles in 80 minutes. How many miles will the car travel after 160 minutes?
Answer:
100
Step-by-step explanation:
80*2=160
so 50*2=100
what is 6+5/7 converted into a mix number
Answer:
47/7
Step-by-step explanation:
I think the answer is 6 5/7 or 47/4
Answer:
6 5/7
Step-by-step explanation:
Hope this helps!
Best of luck! ♥
Replacing x with 0.75 in x 2 will give you an answer of 0.5625
TRUE OR FALSE.
Answer
TRUE
MARK AS BRAINLIEST
Please help me with this. I give brainliest and give ratings. Don't answer just to take my points or your getting reported
Answer:
1/7 +5/9={1×9+5×7)/(9×7)=44/63is your answer
Find x in the follow triangle.
Answer:
Fixed
x=5.66
Step-by-step explanation:
This is an around about way since it's not a right triangle.
lets call the segment line that bisects the lower right angle= M.
The two triangles created would be similar. So:
4/6=M/(x+3)
4x+12=6M
M=(4x+12)/6
and
(x+3)/(x+4)=M/6
(6x+18)=Mx+4M
M=(6x+18)/(x+4)
since M=M
(4x+12/6=(6x+18)/(x+4)
(x+4)(4x+12)=6(6x+18)
4x^2+12x+16x+48=36x+108
4x^2+28x+48=36x+108
4x^-12x-60=0
x^2-3x-15=0
Factor
(x+2.65)(x-5.66)=0
x=5.66
Question Help
Suppose you deposited $300 in a savings account 2 years ago. The simple interest rate is 2.9%
The interest that you eamed in those 2 years is $17.40. Which of the following is/are true?
= 2.996
r=17-40 D=300
Answer:
account 2 years ago. The simple interest rate is 2.9% The interest that you eamed in those 2 years is $17.40. Which of the following is/are true? = 2.996 r=17-40 D= 300.
help please, help me
Answer:
7.07 in^2 is what i got
Which graph is the solution to the following inequality
Step-by-step explanation:
-8x+5 > 21
Minus 5 from both sides
-8x > 16
Then divide 8 from both sides (also I am pretty sure the sign would change because you are dividing by a negative number)
x < -2
So the answer is x is less than or equal to -2
or C
I hope this helps!
can somebody help me, major grade and is timed, pre ap geometry
Step-by-step explanation:
First find the value of Y=> 5y-8=3y+1
=> 5y-3y=1+8
=> 2y=9
=> y=4.5
Second find the value of X=> x+6=4x
=> 6=4x-x
=> 6=3x
=> x=(6/3)
=> x=2
Thus, x=2 and y=4.5 [Option C]
Hope this helps you.
The following are the last 10 run scores Colin got in cricket:
23, 20, 4, 19, 28, 35, 25, 0, 1, 30
a) Work out Colin's mean score.
b) Colin plays cricket again on Sunday. He gets 35 runs.
What is his new mean score?
Answer:
a)18.8
Step-by-step explanation:
Basically, you have to add all the numbers from the data set (188) then divide them by 10 and that equals 18.8
The second part you have to add 32 to 188 ( which equals 210) and that by 11 which equals 20
PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!
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Answer:
i cant see the question
Step-by-step explanation:
Answer:
Point Form:
(
−
4
11
,
−
19
11
)
Equation Form:
x
=
−
4
11
,
y
=
−
19
11
Step-by-step explanation:
how do you solve the system:
y+1=2x
5y+5=10x
Answer:
choose "infinitely more solutions"
Step-by-step explanation:
Let's solve this system by substitution method
y+1=2x
- 1 = - 1
y = 2x -1 <-- sbstitute this in the next equation
---------------------------------------------------------------------------------
5y+5 = 10x
5(2x -1) + 5 = 10x
10x -5 + 5 = 10x
10x + 0= 10x
- 10x = -10x
0 = 0 <-- infinitely more solutions
Answer:
5+5=10x
y=1×5+5=10x45×+=1+32=
4.65 rounded to the nearest whole
Answer:
5
Step-by-step explanation:
Answer:
its 5 because the 6 is above five so it rounds the 4 to a 5 if that makes sense prob not lol
Step-by-step explanation:
Simplify an expression for the perimeter of the rectangle.
Plz quick
Step-by-step explanation:
i think it should be
2(8x+3)+10
Answer:
16x+16
Step-by-step explanation:
8x+3+8x+3+5+5
16x+6+10
16x+16
at school there are 8 students who only play violin, 10 students who only play guitar, 3 students who play both, and 12 students who don't play any instrument at all. if a student is randomly selected from this school, what is the probability that they play violin or guitar
Answer:
[tex]\frac{7}{11}[/tex]Step-by-step explanation:
[tex]\frac{21}{33}[/tex] simplified would be [tex]\frac{7}{11}[/tex]
The probability that they play violin or guitar is 7/11 .
What is Probability ?Probability is the likeliness of an event to occur.
It is given that
The number of students who only play violin is 8
The number of students who only play guitar is 10
The number of Students who play both is 3
The number of students who don't play either is 12
Total Students = 8+10+3+12 = 33
Total favorable outcomes (violin or guitar) = 8 + 10 +3
Probability = Total favorable outcomes / Total outcomes
Probability = 21 / 33
Probability = 7/11
Therefore the probability that they play violin or guitar is 7/11 .
To know more about Probability
https://brainly.com/question/11234923
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What is the distributive property of 35y + 49
Answer:
7(5y+7)
Step-by-step explanation:
7×5y=35y
7×7=49
so its 7(5y+7)
Debnil has 6 teaspoons of salt. The ratio of teaspoons to tablespoons is 3:1. How many tablespoons of salt does Debnil have?
Answer:
2 table spoons
Step-by-step explanation:
you have six teaspoons, and a ratio of 3:1, so if you use that, then times the three by two, and theres your six teaspoons, and then that means 2 table spoons!
Are these congruent (PLEASE HELPPP)
Answer:
all of them are congruent
Step-by-step explanation:
HOPE IT HELPS YOU
Ariel spent a total of $3.42 buying dried apricots from the bulk bins, which were on sale for $2.85 per pound. To the nearest tenth of a pound, how many pounds of dried apricots did Ariel buy?
Answer:
1.2
Step-by-step explanation:
Just do 3.42/2.85 and u get 1.2 pounds.
Answer:
1.2 lbs
Step-by-step explanation:
3.42 (amount spent)/2.85(amount per pound)
pls help this is due today whoever anders the most questions gets brainliest
Answer:
4. percent...........
Solve each inequality, and then drag the correct solution graph to the inequality.
Answer:
Step-by-step explanation:
can somebody please help
a. 44.5
b. 15
c. 37.5
d. 26.25
Answer:
I think c
Step-by-step explanation:
not completely sure cant see question
at noon the temperature in successor Michigan was 82°F by midnight the temperature had fallen to 66°F what was the change in temperature over the 12 hour period
Answer:
The change in temperature was of -16ºF, that is, a decrease of 16ºF.
Step-by-step explanation:
At noon, the temperature was of 82°F.
By midnight the temperature had fallen to 66°F.
Change:
Final value subtracted by initial value, so
66ºF - 82ºF = -16ºF
The change in temperature was of -16ºF, that is, a decrease of 16ºF.
The experimental probability and theoretical probability of an event are not
necessarily the same.
A) true B) false
How do we write equations from word problems?